Trigonometry — Full Problem Index (1/3)

Problem	Final Answer	Solution
sin(30)	1/2	Find the Exact Value sin(30)
sin(45)	√(,2)/2	Find the Exact Value sin(45)
sin(30)	1/2	Find the Exact Value sin(30 degrees )
sin(60)	√(,3)/2	Find the Exact Value sin(60 degrees )
tan(30)	√(,3)/3	Find the Exact Value tan(30 degrees )
arcsin(−1)	−π/2	Find the Exact Value arcsin(-1)
sin(π/6)	1/2	Find the Exact Value sin(pi/6)
cos(π/4)	√(,2)/2	Find the Exact Value cos(pi/4)
sin(45)	√(,2)/2	Find the Exact Value sin(45 degrees )
sin(π/3)	√(,3)/2	Find the Exact Value sin(pi/3)
arctan(−1)	−π/4	Find the Exact Value arctan(-1)
cos(45)	√(,2)/2	Find the Exact Value cos(45 degrees )
cos(30)	√(,3)/2	Find the Exact Value cos(30 degrees )
tan(60)	√(,3)	Find the Exact Value tan(60)
csc(45)	√(,2)	Find the Exact Value csc(45 degrees )
tan(60)	√(,3)	Find the Exact Value tan(60 degrees )
sec(30)	(2√(,3))/3	Find the Exact Value sec(30 degrees )
cos(60)	1/2	Find the Exact Value cos(60 degrees )
cos(150)	−√(,3)/2	Find the Exact Value cos(150)
sin(60)	√(,3)/2	Find the Exact Value sin(60)
cos(π/2)	0	Find the Exact Value cos(pi/2)
tan(45)	1	Find the Exact Value tan(45 degrees )
arctan(−√(,3))	−π/3	Find the Exact Value arctan(- square root of 3)
csc(60)	(2√(,3))/3	Find the Exact Value csc(60 degrees )
sec(45)	√(,2)	Find the Exact Value sec(45 degrees )
csc(30)	2	Find the Exact Value csc(30 degrees )
sin(0)	0	Find the Exact Value sin(0)
sin(120)	√(,3)/2	Find the Exact Value sin(120)
cos(90)	0	Find the Exact Value cos(90)
π/3	60	Convert from Radians to Degrees pi/3
tan(30)	√(,3)/3	Find the Exact Value tan(30)
45	π/4	Convert from Degrees to Radians 45
cos(45)	√(,2)/2	Find the Exact Value cos(45)
sin2(θ)+cos2(θ)	1	Simplify sin(theta)^2+cos(theta)^2
π/6	30	Convert from Radians to Degrees pi/6
cot(30)	√(,3)	Find the Exact Value cot(30 degrees )
arccos(−1)	π	Find the Exact Value arccos(-1)
arctan(0)	0	Find the Exact Value arctan(0)
cot(60)	√(,3)/3	Find the Exact Value cot(60 degrees )
30	π/6	Convert from Degrees to Radians 30
(2*π)/3	120	Convert from Radians to Degrees (2pi)/3
sin((5*π)/3)	−√(,3)/2	Find the Exact Value sin((5pi)/3)
sin((3*π)/4)	√(,2)/2	Find the Exact Value sin((3pi)/4)
tan(π/2)	undefined	Find the Exact Value tan(pi/2)
sin(300)	−√(,3)/2	Find the Exact Value sin(300)
cos(30)	√(,3)/2	Find the Exact Value cos(30)
cos(60)	1/2	Find the Exact Value cos(60)
cos(0)	1	Find the Exact Value cos(0)
cos(135)	−√(,2)/2	Find the Exact Value cos(135)
cos((5*π)/3)	1/2	Find the Exact Value cos((5pi)/3)
cos(210)	−√(,3)/2	Find the Exact Value cos(210)
sec(60)	2	Find the Exact Value sec(60 degrees )
sin(300)	−√(,3)/2	Find the Exact Value sin(300 degrees )
135	(3*π)/4	Convert from Degrees to Radians 135
150	(5*π)/6	Convert from Degrees to Radians 150
(5*π)/6	150	Convert from Radians to Degrees (5pi)/6
(5*π)/3	300	Convert from Radians to Degrees (5pi)/3
89	(89*π)/180	Convert from Degrees to Radians 89 degrees
60	π/3	Convert from Degrees to Radians 60
sin(135)	√(,2)/2	Find the Exact Value sin(135 degrees )
sin(150)	1/2	Find the Exact Value sin(150)
sin(240)	−√(,3)/2	Find the Exact Value sin(240 degrees )
cot(45)	1	Find the Exact Value cot(45 degrees )
(5*π)/4	225	Convert from Radians to Degrees (5pi)/4
sin(225)	−√(,2)/2	Find the Exact Value sin(225)
sin(240)	−√(,3)/2	Find the Exact Value sin(240)
cos(150)	−√(,3)/2	Find the Exact Value cos(150 degrees )
tan(45)	1	Find the Exact Value tan(45)
sin(30)	1/2	Evaluate sin(30 degrees )
sec(0)	1	Find the Exact Value sec(0)
cos((5*π)/6)	−√(,3)/2	Find the Exact Value cos((5pi)/6)
csc(30)	2	Find the Exact Value csc(30)
arcsin(√(,2)/2)	π/4	Find the Exact Value arcsin(( square root of 2)/2)
tan((5*π)/3)	−√(,3)	Find the Exact Value tan((5pi)/3)
tan(0)	0	Find the Exact Value tan(0)
sin(60)	√(,3)/2	Evaluate sin(60 degrees )
arctan(−√(,3)/3)	−π/6	Find the Exact Value arctan(-( square root of 3)/3)
(3*π)/4	135	Convert from Radians to Degrees (3pi)/4
sin((7*π)/4)	−√(,2)/2	Find the Exact Value sin((7pi)/4)
arcsin(−1/2)	−π/6	Find the Exact Value arcsin(-1/2)
sin((4*π)/3)	−√(,3)/2	Find the Exact Value sin((4pi)/3)
csc(45)	√(,2)	Find the Exact Value csc(45)
arctan(√(,3))	π/3	Simplify arctan( square root of 3)
sin(135)	√(,2)/2	Find the Exact Value sin(135)
sin(105)	(√(,6)+√(,2))/4	Find the Exact Value sin(105)
sin(150)	1/2	Find the Exact Value sin(150 degrees )
sin((2*π)/3)	√(,3)/2	Find the Exact Value sin((2pi)/3)
tan((2*π)/3)	−√(,3)	Find the Exact Value tan((2pi)/3)
π/4	45	Convert from Radians to Degrees pi/4
sin(π/2)	1	Find the Exact Value sin(pi/2)
sec(45)	√(,2)	Find the Exact Value sec(45)
cos((5*π)/4)	−√(,2)/2	Find the Exact Value cos((5pi)/4)
cos((7*π)/6)	−√(,3)/2	Find the Exact Value cos((7pi)/6)
arcsin(0)	0	Find the Exact Value arcsin(0)
sin(120)	√(,3)/2	Find the Exact Value sin(120 degrees )
tan((7*π)/6)	√(,3)/3	Find the Exact Value tan((7pi)/6)
cos(270)	0	Find the Exact Value cos(270)
sin((7*π)/6)	−1/2	Find the Exact Value sin((7pi)/6)
arcsin(−√(,2)/2)	−π/4	Find the Exact Value arcsin(-( square root of 2)/2)
88	(22*π)/45	Convert from Degrees to Radians 88 degrees
cos(315)	√(,2)/2	Find the Exact Value cos(315)
sin((5*π)/6)	1/2	Find the Exact Value sin((5pi)/6)
cos(60)	1/2	Evaluate cos(60 degrees )
cos(330)	√(,3)/2	Find the Exact Value cos(330)
330	(11*π)/6	Convert from Degrees to Radians 330
arcsin(√(,3)/2)	π/3	Simplify arcsin(( square root of 3)/2)
sin(210)	−1/2	Find the Exact Value sin(210)
cos(300)	1/2	Find the Exact Value cos(300)
cos((11*π)/6)	√(,3)/2	Find the Exact Value cos((11pi)/6)
(3*π)/2	270	Convert from Radians to Degrees (3pi)/2
sec(30)	(2√(,3))/3	Find the Exact Value sec(30)
tan(135)	−1	Find the Exact Value tan(135)
(sin(θ)−cos(θ))2	1−sin(2*θ)	Simplify (sin(theta)-cos(theta))^2
tan(π/3)	√(,3)	Find the Exact Value tan(pi/3)
sin(315)	−√(,2)/2	Find the Exact Value sin(315)
sec((5*π)/4)	−√(,2)	Find the Exact Value sec((5pi)/4)
cos(2*π)	1	Find the Exact Value cos(2pi)
cos(−π/3)	1/2	Find the Exact Value cos(-pi/3)
cos((3*π)/2)	0	Find the Exact Value cos((3pi)/2)
cos(240)	−1/2	Find the Exact Value cos(240)
tan(60)	√(,3)	Evaluate tan(60 degrees )
tan(π/12)	2−√(,3)	Find the Exact Value tan(pi/12)
tan(120)	−√(,3)	Find the Exact Value tan(120)
210	(7*π)/6	Convert from Degrees to Radians 210
−18	−π/10	Convert from Degrees to Radians -18 degrees
315	(7*π)/4	Convert from Degrees to Radians 315
tan(120)	−√(,3)	Find the Exact Value tan(120 degrees )
cot(π)	undefined	Find the Exact Value cot(pi)
arctan(√(,3)/3)	π/6	Simplify arctan(( square root of 3)/3)
sec(π/6)	(2√(,3))/3	Find the Exact Value sec(pi/6)
ƒ(t)=−2/3sin(6t)	see full solution →	Find Amplitude, Period, and Phase Shift f(t)=-2/3*sin(6t)
sin((3*π)/2)	−1	Find the Exact Value sin((3pi)/2)
sec(60)	2	Find the Exact Value sec(60)
sin(45)	√(,2)/2	Evaluate sin(45 degrees )
90	π/2	Convert from Degrees to Radians 90
240	(4*π)/3	Convert from Degrees to Radians 240
arccos(1)	0	Find the Exact Value arccos(1)
tan(105)	−2−√(,3)	Find the Exact Value tan(105)
1/√(,3)/2	(2√(,3))/3	Simplify 1/(( square root of 3)/2)
sin(270)	−1	Find the Exact Value sin(270)
cot(60)	√(,3)/3	Find the Exact Value cot(60)
arccos(1/2)	π/3	Find the Exact Value arccos(1/2)
arccos(−√(,2)/2)	(3*π)/4	Simplify arccos(-( square root of 2)/2)
sin(90)	1	Find the Exact Value sin(90)
csc(π/6)	2	Find the Exact Value csc(pi/6)
tan(240)	√(,3)	Find the Exact Value tan(240)
arctan(−√(,3)/3)	−π/6	Simplify arctan(-( square root of 3)/3)
tan(150)	−√(,3)/3	Find the Exact Value tan(150)
arccos(0)	π/2	Find the Exact Value arccos(0)
cos(π/6)	√(,3)/2	Find the Exact Value cos(pi/6)
cot(π/3)	√(,3)/3	Find the Exact Value cot(pi/3)
tan(135)	−1	Find the Exact Value tan(135 degrees )
arccos(−√(,2)/2)	(3*π)/4	Find the Exact Value arccos(-( square root of 2)/2)
cos(135)	−√(,2)/2	Find the Exact Value cos(135 degrees )
tan(330)	−√(,3)/3	Find the Exact Value tan(330)
arccos(√(,2)/2)	π/4	Find the Exact Value arccos(( square root of 2)/2)
178	(89*π)/90	Convert from Degrees to Radians 178 degrees
2* radians	360/π≈114.59	Convert from Radians to Degrees 2
tan(315)	−1	Find the Exact Value tan(315)
cot(45)	1	Find the Exact Value cot(45)
tan((4*π)/3)	√(,3)	Find the Exact Value tan((4pi)/3)
179	(179*π)/180	Convert from Degrees to Radians 179 degrees
arccos(−√(,3)/2)	(5*π)/6	Find the Exact Value arccos(-( square root of 3)/2)
sin(20)	sin(20)	Find the Exact Value sin(20)
sin((5*π)/4)	−√(,2)/2	Find the Exact Value sin((5pi)/4)
tan(π/4)	1	Find the Exact Value tan(pi/4)
arctan(1)	π/4	Find the Exact Value arctan(1)
(4*π)/3	240	Convert from Radians to Degrees (4pi)/3
sin(x)=√(,3)/2	see full solution →	Solve for x sin(x)=( square root of 3)/2
−540	−3*π	Convert from Degrees to Radians -540 degrees
csc(π/3)	(2√(,3))/3	Find the Exact Value csc(pi/3)
csc((2*π)/3)	(2√(,3))/3	Find the Exact Value csc((2pi)/3)
77	(77*π)/180	Convert from Degrees to Radians 77 degrees
810	(9*π)/2	Convert from Degrees to Radians 810 degrees
arcsin(√(,3)/2)	π/3	Find the Exact Value arcsin(( square root of 3)/2)
cos((11*π)/12)	(−√(,2)−√(,6))/4	Find the Exact Value cos((11pi)/12)
cos(120)	−1/2	Find the Exact Value cos(120)
cot(π/6)	√(,3)	Find the Exact Value cot(pi/6)
cos(−(7*π)/6)	−√(,3)/2	Find the Exact Value cos(-(7pi)/6)
sin((11*π)/6)	−1/2	Find the Exact Value sin((11pi)/6)
sin(2x)cos(x)	2sin(x)cos2(x)	Simplify sin(2x)*cos(x)
cos((4*π)/3)	−1/2	Find the Exact Value cos((4pi)/3)
cos(−1.9967)	−0.4121	Evaluate cos(-1.9967)
cos((2*π)/3)	−1/2	Find the Exact Value cos((2pi)/3)
sec(π/2)	undefined	Find the Exact Value sec(pi/2)
cos(π/8)	√(,2+√(,2))/2	Find the Exact Value cos(pi/8)
sin(210)	−1/2	Find the Exact Value sin(210 degrees )
45	π/4	Convert from Degrees to Radians 45 degrees
cos(π/3)	1/2	Find the Exact Value cos(pi/3)
tan(x)=1	1⇒x=π/4+n*π,n∈ℤ	Solve for x tan(x)=1
tan((3*π)/4)	−1	Find the Exact Value tan((3pi)/4)
90	π/2	Convert from Degrees to Radians 90 degrees
csc(π/2)	1	Find the Exact Value csc(pi/2)
sec((7*π)/6)	−(2√(,3))/3	Find the Exact Value sec((7pi)/6)
sec(135)	−√(,2)	Find the Exact Value sec(135)
tan(150)	−√(,3)/3	Find the Exact Value tan(150 degrees )
csc((4*π)/3)	−(2√(,3))/3	Find the Exact Value csc((4pi)/3)
csc((3*π)/4)	√(,2)	Find the Exact Value csc((3pi)/4)
tan((5*π)/12)	2+√(,3)	Find the Exact Value tan((5pi)/12)
67	(67*π)/180	Convert from Degrees to Radians 67 degrees
π/2	90	Convert from Radians to Degrees pi/2
arccos(√(,2)/2)	π/4	Simplify arccos(( square root of 2)/2)
sec(120)	−2	Find the Exact Value sec(120)
cos(−(11*π)/6)	√(,3)/2	Find the Exact Value cos(-(11pi)/6)
csc(60)	(2√(,3))/3	Find the Exact Value csc(60)
sin(315)	−√(,2)/2	Find the Exact Value sin(315 degrees )
tan(π/6)	√(,3)/3	Find the Exact Value tan(pi/6)
cos(30)	√(,3)/2	Evaluate cos(30 degrees )
cos(arctan(x))	1/√(,1+x2)	Simplify cos(arctan(x))
tan(x)=√(,3)	see full solution →	Solve for x tan(x) = square root of 3
csc((5*π)/4)	−√(,2)	Find the Exact Value csc((5pi)/4)
cot(210)	√(,3)	Find the Exact Value cot(210)
sin(1/2)	sin(1/2)	Find the Exact Value sin(1/2)
sin(π/4)	√(,2)/2	Find the Exact Value sin(pi/4)
(7*π)/4	315	Convert from Radians to Degrees (7pi)/4
cos(120)	−1/2	Find the Exact Value cos(120 degrees )
sec(210)	−(2√(,3))/3	Find the Exact Value sec(210)
tan(30)	√(,3)/3	Evaluate tan(30 degrees )
sin(x)=−1/2	(7π)/6+2kπ,(11π)/6+2kπ	Solve for x sin(x)=-1/2
y=3sin(2x)	3sin(2x)	Graph y=3sin(2x)
y=tan(2*x)	tan(2*x)	Graph y=tan(2x)
cot(120)	−√(,3)/3	Find the Exact Value cot(120)
cot((5*π)/3)	−√(,3)/3	Find the Exact Value cot((5pi)/3)
1/√(,2)/2	√(,2)	Simplify 1/(( square root of 2)/2)
cos((3*π)/4)	−√(,2)/2	Find the Exact Value cos((3pi)/4)
csc(π)	Undefined	Find the Exact Value csc(pi)
csc(315)	−√(,2)	Find the Exact Value csc(315)
tan(22.5)	√(,2)−1	Find the Exact Value tan(22.5)
tan(−π/3)	−√(,3)	Find the Exact Value tan(-pi/3)
cot(330)	−√(,3)	Find the Exact Value cot(330)
(7*π)/6	210	Convert from Radians to Degrees (7pi)/6
80	(4*π)/9	Convert from Degrees to Radians 80
75	(5*π)/12	Convert from Degrees to Radians 75
π/12	15	Convert from Radians to Degrees pi/12
−π/3	−60	Convert from Radians to Degrees -pi/3
sin(3/5)	sin(3/5)	Find the Exact Value sin(3/5)
cot(30)	√(,3)	Find the Exact Value cot(30)
tan(270)	undefined	Find the Exact Value tan(270)
cos(315)	√(,2)/2	Find the Exact Value cos(315 degrees )
tan(−π/4)	−1	Find the Exact Value tan(-pi/4)
cot(240)	√(,3)/3	Find the Exact Value cot(240)
arcsin(−√(,3)/2)	−π/3	Find the Exact Value arcsin(-( square root of 3)/2)
csc(150)	2	Find the Exact Value csc(150)
csc(225)	−√(,2)	Find the Exact Value csc(225)
cos(240)	−1/2	Find the Exact Value cos(240 degrees )
tan((11*π)/6)	−√(,3)/3	Find the Exact Value tan((11pi)/6)
135	(3*π)/4	Convert from Degrees to Radians 135 degrees
315	(7*π)/4	Convert from Degrees to Radians 315 degrees
(5*π)/3	π/3	Find the Reference Angle (5pi)/3
tan(x)=−√(,3)	see full solution →	Solve for x tan(x)=- square root of 3
225	(5*π)/4	Convert from Degrees to Radians 225 degrees
sec(240)	−2	Find the Exact Value sec(240)
cot((4*π)/3)	√(,3)/3	Find the Exact Value cot((4pi)/3)
cot((7*π)/4)	−1	Find the Exact Value cot((7pi)/4)
cos(210)	−√(,3)/2	Find the Exact Value cos(210 degrees )
sin(−135)	−√(,2)/2	Find the Exact Value sin(-135 degrees )
tan((3*π)/2)	undefined	Find the Exact Value tan((3pi)/2)
(3*π)/4	π/4	Find the Reference Angle (3pi)/4
(7*π)/4	π/4	Find the Reference Angle (7pi)/4
(5*π)/6	π/6	Find the Reference Angle (5pi)/6
(2*π)/3	π/3	Find the Reference Angle (2pi)/3
cos(1/2)	cos(1/2)	Find the Exact Value cos(1/2)
y=−2*cos(x)	−2*cos(x)	Graph y=-2cos(x)
300	(5*π)/3	Convert from Degrees to Radians 300 degrees
360	2*π	Convert from Degrees to Radians 360
sec((5*π)/6)	−(2√(,3))/3	Find the Exact Value sec((5pi)/6)
tan(π/8)	√(,2)−1	Find the Exact Value tan(pi/8)
sin(40)	sin(40)	Find the Exact Value sin(40)
sin(−60)	−√(,3)/2	Find the Exact Value sin(-60 degrees )
sin2(θ)+cos2(θ)	1	Simplify sin(theta)^2+cos(theta)^2=
sec2(θ)	1+tan2(θ)	Simplify sec(theta)^2
(√(,3)/2)2	3/4	Simplify (( square root of 3)/2)^2
√(,3)/2/1/2	√(,3)	Simplify (( square root of 3)/2)/(1/2)
cot((5*π)/6)	−√(,3)	Find the Exact Value cot((5pi)/6)
cos(−π)	−1	Find the Exact Value cos(-pi)
csc(120)	(2√(,3))/3	Find the Exact Value csc(120)
240	(4*π)/3	Convert from Degrees to Radians 240 degrees
79	(79*π)/180	Convert from Degrees to Radians 79 degrees
y=2*sin(x)	2,Period=2*π,Phase Shift=0	Find Amplitude, Period, and Phase Shift y=2sin(x)
y=sin(x)	1,Period=2*π,Phase Shift=0	Find Amplitude, Period, and Phase Shift y=sin(x)
6* radians	1080/π	Convert from Radians to Degrees 6
(11*π)/6	330	Convert from Radians to Degrees (11pi)/6
csc((7*π)/4)	−√(,2)	Find the Exact Value csc((7pi)/4)
csc(270)	−1	Find the Exact Value csc(270)
cot(270)	0	Find the Exact Value cot(270)
sec(90)	undefined	Find the Exact Value sec(90)
sin(−45)	−√(,2)/2	Find the Exact Value sin(-45 degrees )
tan(330)	−√(,3)/3	Find the Exact Value tan(330 degrees )
(x2)/(y2)+(y2)/(y2)	(x2+y2)/(y2)	Simplify (x^2)/(y^2)+(y^2)/(y^2)
cos(x)=√(,3)/2	see full solution →	Solve for x cos(x)=( square root of 3)/2
sin(2*x)=sin(x)	see full solution →	Solve for x sin(2x)=sin(x)
tan((5*π)/6)	−√(,3)/3	Find the Exact Value tan((5pi)/6)
cot(150)	−√(,3)	Find the Exact Value cot(150)
cot(225)	1	Find the Exact Value cot(225)
cot(315)	−1	Find the Exact Value cot(315)
cot((7*π)/6)	√(,3)	Find the Exact Value cot((7pi)/6)
−(3*π)/4	−135	Convert from Radians to Degrees -(3pi)/4
37	(37*π)/180	Convert from Degrees to Radians 37 degrees
18	π/10	Convert from Degrees to Radians 18
270	(3*π)/2	Convert from Degrees to Radians 270 degrees
40	(2*π)/9	Convert from Degrees to Radians 40
(3*π)/5	108	Convert from Radians to Degrees (3pi)/5
csc(210)	−2	Find the Exact Value csc(210)
sec(x)*cos(x)	1	Simplify sec(x)cos(x)
arccot(√(,3))	π/6	Simplify arccot( square root of 3)
tan(x)=1	1⇒x=π/4+n*π,n∈ℤ	Solve for x tan(x)=1
tan(x)=−1	(3π)/4+nπ	Solve for x tan(x)=-1
sin(2*θ)	2sin(θ)cos(θ)	Simplify sin(2theta)
sin(2*arccos(x))	2*x√(,1−x2)	Simplify sin(2arccos(x))
2*cos2(θ)−1	cos(2*θ)	Simplify 2cos(theta)^2-1
sin(x)=0	0⇒x=n*π,n∈ℤ	Solve for x sin(x)=0
cot((11*π)/6)	−√(,3)	Find the Exact Value cot((11pi)/6)
(2*π)/5	72	Convert from Radians to Degrees (2pi)/5
20	π/9	Convert from Degrees to Radians 20
105	(7*π)/12	Convert from Degrees to Radians 105
arcsin(1)	π/2	Find the Exact Value arcsin(1)
√(,3)/2/(−1/2)	−√(,3)	Evaluate (( square root of 3)/2)/(-1/2)
y=sin(4*x)	see full solution →	Graph y=sin(4x)
sec(120)	−2	Find the Exact Value sec(120 degrees )
−150	−(5*π)/6	Convert from Degrees to Radians -150
sin(15)	(√(,6)−√(,2))/4	Expand Using Sum/Difference Formulas sin(15 degrees )
cot(120)	−√(,3)/3	Find the Exact Value cot(120 degrees )
cot((3*π)/2)	0	Find the Exact Value cot((3pi)/2)
csc(300)	−(2√(,3))/3	Find the Exact Value csc(300)
sec(135)	−√(,2)	Find the Exact Value sec(135 degrees )
sin2(x)	(1−cos(2*x))/2	Simplify sin(x)^2
(1−sin(θ))*(1+sin(θ))	cos2(θ)	Simplify (1-sin(theta))(1+sin(theta))
(cos(θ)−sin(θ))2	1−sin(2*θ)	Simplify (cos(theta)-sin(theta))^2
arcsin(√(,3)/2)	π/3	Simplify arcsin( square root of 3/2)
√(,81)	9	Simplify square root of 81
cot(240)	√(,3)/3	Find the Exact Value cot(240 degrees )
tan(210)	√(,3)/3	Find the Exact Value tan(210 degrees )
(10*π)/3	π/3	Find the Reference Angle (10pi)/3
(7*π)/6	π/6	Find the Reference Angle (7pi)/6
−270	−(3*π)/2	Convert from Degrees to Radians -270
61	(61*π)/180	Convert from Degrees to Radians 61 degrees
(4*π)/9	80	Convert from Radians to Degrees (4pi)/9
π/9	20	Convert from Radians to Degrees pi/9
1* rad	180/π≈57.296	Convert from Radians to Degrees 1
(7*π)/4	(7*π)/4∈Quadrant IV	Find the Quadrant of the Angle (7pi)/4
y=4*cos(x)	4*cos(x)	Graph y=4cos(x)
−(3*π)/2	−270	Convert from Radians to Degrees -(3pi)/2
15	π/12	Convert from Degrees to Radians 15
(sin(x)+cos(x))2=1+sin(2*x)	1+sin(2*x)	Verify the Identity (sin(x)+cos(x))^2=1+sin(2x)
sin(−120)	−√(,3)/2	Find the Exact Value sin(-120 degrees )
sin(2*x)	2sin(x)cos(x)	Expand the Trigonometric Expression sin(2x)
cot(0)	undefined	Find the Exact Value cot(0)
cos(−60)	1/2	Find the Exact Value cos(-60 degrees )
sec(330)	(2√(,3))/3	Find the Exact Value sec(330)
sec(150)	−(2√(,3))/3	Find the Exact Value sec(150)
csc(0)	undefined	Find the Exact Value csc(0)
cos(90)	0	Find the Exact Value cos(90 degrees )
cot(135)	−1	Find the Exact Value cot(135)
tan(x)=√(,3)/3	π/6+n*π,n∈ℤ	Solve for x tan(x)=( square root of 3)/3
cos(2*x)=1/2	1/2⇒x=n*π±π/6	Solve for x cos(2x)=1/2
sin(√(,3)/2)	sin(√(,3)/2)≈0.76176	Simplify sin(( square root of 3)/2)
sin(x)=−1	−1⇒x=(3π)/2+2n*π,n∈ℤ	Solve for x sin(x)=-1
tan((7*π)/4)	−1	Find the Exact Value tan((7pi)/4)
arctan(√(,3)/3)	π/6	Find the Exact Value arctan(( square root of 3)/3)
tan(240)	√(,3)	Find the Exact Value tan(240 degrees )
sec((4*π)/3)	−2	Find the Exact Value sec((4pi)/3)
sec(315)	√(,2)	Find the Exact Value sec(315 degrees )
72	(2*π)/5	Convert from Degrees to Radians 72
y=1/4cos(3x)	see full solution →	Find Amplitude, Period, and Phase Shift y=1/4*cos(3x)
y=4*sin(x)	4,Period=2*π,Phase Shift=0	Find Amplitude, Period, and Phase Shift y=4sin(x)
−(2*π)/3	−120	Convert from Radians to Degrees -(2pi)/3
4*π	720	Convert from Radians to Degrees 4p
y=2*sec(x)	2*sec(x)	Graph y=2sec(x)
cos(45)	√(,2)/2	Evaluate cos(45 degrees )
−(3*π)/4	Quadrant III	Find the Quadrant of the Angle -(3pi)/4
y=2*tan(x)	2*tan(x)	Graph y=2tan(x)
y=−2*sin(x)	2,Period=2*π,Phase Shift=0	Find Amplitude, Period, and Phase Shift y=-2sin(x)
50	(5*π)/18	Convert from Degrees to Radians 50
csc((5*π)/3)	−(2√(,3))/3	Find the Exact Value csc((5pi)/3)
arcsec(2)	π/3	Find the Exact Value arcsec(2)
sec(x)−cos(x)=sin(x)*tan(x)	sin(x)*tan(x)	Verify the Identity sec(x)-cos(x)=sin(x)tan(x)
sin(−30)	−1/2	Find the Exact Value sin(-30 degrees )
tan(−π/6)	−√(,3)/3	Find the Exact Value tan(-pi/6)
cos(x)=cos(x)	cos(x)⇒x=π/2+nπ,2n*π	Solve for x cos(x)^2=cos(x)
sin(3*x)=−1	−1⇒x=π/2+(2nπ)/3	Solve for x sin(3x)=-1
cos(x)=−1/2	see full solution →	Solve for x cos(x)=-1/2
arccot(−√(,3))	(5*π)/6	Simplify arccot(- square root of 3)
√(,2)/√(,2)	1	Simplify ( square root of 2)/( square root of 2)
(1−sin(x))*(1+sin(x))	cos2(x)	Simplify (1-sin(x))(1+sin(x))
cos(x)=−1	−1⇒x=π+2kπ,k∈ℤ	Solve for x cos(x)=-1
cos(225)	−√(,2)/2	Find the Exact Value cos(225 degrees )
sec(225)	−√(,2)	Find the Exact Value sec(225)
sec((11*π)/6)	(2√(,3))/3	Find the Exact Value sec((11pi)/6)
tan(x)+cot(x)=sec(x)*csc(x)	sec(x)*csc(x)	Verify the Identity tan(x)+cot(x)=sec(x)csc(x)
tan(300)	−√(,3)	Find the Exact Value tan(300 degrees )
arccos(cos((4*π)/3))	(2*π)/3	Find the Exact Value arccos(cos((4pi)/3))
−60	−π/3	Convert from Degrees to Radians -60
−135	−(3*π)/4	Convert from Degrees to Radians -135
−(7*π)/4	−315	Convert from Radians to Degrees -(7pi)/4
y=cos(3*x)	cos(3*x)	Graph y=cos(3x)
cos(θ)* given the point *(21,28)	3/5	Find the Cosine Given the Point (21,28)
3+4*i	see full solution →	Convert to Trigonometric Form 3+4i
(7*π)/12	105	Convert from Radians to Degrees (7pi)/12
−π/6	−30	Convert from Radians to Degrees -pi/6
−(5*π)/6	−150	Convert from Radians to Degrees -(5pi)/6
−(5*π)/4	−225	Convert from Radians to Degrees -(5pi)/4
−π/2	−90	Convert from Radians to Degrees -pi/2
cot(270)	0	Find the Exact Value cot(270 degrees )
sin(195)	(√(,2)−√(,6))/4	Find the Exact Value sin(195)
sin(35)	sin(35)	Find the Exact Value sin(35)
cos((7*π)/4)	√(,2)/2	Find the Exact Value cos((7pi)/4)
sin(4/5)	sin(4/5)	Find the Exact Value sin(4/5)
arcsin(1/2)	π/6	Find the Exact Value arcsin(1/2)
tan(9*π)	0	Find the Exact Value tan(9pi)
sin(50)	sin(50)	Find the Exact Value sin(50)
tan(−1)(−1)	−π/4	Find the Exact Value tan(-1)
sin(225)	−√(,2)/2	Find the Exact Value sin(225 degrees )
cos(x)=1	1⇒x=2πn,n∈ℤ	Solve for x cos(x)=1
tan(x)=−√(,3)/3	−√(,3)/3⇒x=(5π)/6+nπ	Solve for x tan(x)=-( square root of 3)/3
sin(θ)=1/2,θ∈Quadrant I	see full solution →	Find the Other Trig Values in Quadrant I sin(theta)=1/2
tan(√(,3)/3)	tan(√(,3)/3)	Simplify tan(( square root of 3)/3)
sin(x)=−√(,3)/2	see full solution →	Solve for x sin(x)=-( square root of 3)/2
tan(arccos(2*x))	√(,1−4x2)/(2x)	Simplify tan(arccos(2x))
tan((3*π)/8)	√(,2)+1	Find the Exact Value tan((3pi)/8)
sec(π/3)	2	Find the Exact Value sec(pi/3)
cot((13*π)/3)	√(,3)/3	Find the Exact Value cot((13pi)/3)
sin(1)	sin(1)	Find the Exact Value sin(1)
cos(40)	cos(40)	Find the Exact Value cos(40)
cos(50)	cos(50)	Find the Exact Value cos(50)
cos((7*π)/3)	1/2	Find the Exact Value cos((7pi)/3)
sec((7*π)/4)	√(,2)	Find the Exact Value sec((7pi)/4)
cot(150)	−√(,3)	Find the Exact Value cot(150 degrees )
−495	−(11*π)/4	Convert from Degrees to Radians -495 degrees
y=sin(4*x)	1,Period=π/2,Phase Shift=0	Find Amplitude, Period, and Phase Shift y=sin(4x)
(5*π)/12	75	Convert from Radians to Degrees (5pi)/12
y=sec(2*x)	sec(2*x)	Graph y=sec(2x)
y=5sin(2x)	5sin(2x)* has amplitude 5 and period *π	Graph y=5sin(2x)
y=−2*sin(x)	−2*sin(x)	Graph y=-2sin(x)
π/3	π/3∈Quadrant I	Find the Quadrant of the Angle pi/3
π/8	22.5	Convert from Radians to Degrees pi/8
(8*π)/3	480	Convert from Radians to Degrees (8pi)/3
−(4*π)/3	−240	Convert from Radians to Degrees -(4pi)/3
−240	−(4*π)/3	Convert from Degrees to Radians -240
−135	−(3*π)/4	Convert from Degrees to Radians -135 degrees
130	(13*π)/18	Convert from Degrees to Radians 130
144	(4*π)/5	Convert from Degrees to Radians 144
54	(3*π)/10	Convert from Degrees to Radians 54
−45	−π/4	Convert from Degrees to Radians -45
y=3*sin(x)	3,Period=2*π,Phase Shift=0	Find Amplitude, Period, and Phase Shift y=3sin(x)
arcsin(sin((3*π)/4))	π/4	Find the Exact Value arcsin(sin((3pi)/4))
cos((13*π)/6)	√(,3)/2	Find the Exact Value cos((13pi)/6)
tan(θ)=1	π/4+n*π,n∈ℤ	Verify the Identity tan(theta)=1
tan(45)	1	Evaluate tan(45 degrees )
sec(2*π)	1	Find the Exact Value sec(2pi)
sin(25)	sin(25)	Find the Exact Value sin(25)
sec((3*π)/4)	−√(,2)	Find the Exact Value sec((3pi)/4)
sin(−1)	−sin(1)	Find the Exact Value sin(-1)
sin((5*π)/2)	1	Find the Exact Value sin((5pi)/2)
cos(4/5)	cos(4/5)	Find the Exact Value cos(4/5)
tan(225)	1	Find the Exact Value tan(225 degrees )
cos(25)	cos(25)	Find the Exact Value cos(25)
tan(315)	−1	Find the Exact Value tan(315 degrees )
tan(arccos(3*x))	√(,1−9x2)/(3x)	Simplify tan(arccos(3x))
√(,(1−sin(θ))*(1+sin(θ)))	abs(cos(θ))	Simplify square root (1-sin(theta))(1+sin(theta))
sin(θ)	sin(θ)	Simplify sin(theta)
sin(3*x)	3sin(x)−4sin3(x)	Simplify sin(3x)
cos(√(,3)/2)	cos(√(,3)/2)	Simplify cos(( square root of 3)/2)
tan(−√(,3))	−tan(√(,3))	Simplify tan(- square root of 3)
2*cos(x)+√(,3)=0	(5π)/6+2nπ,(7π)/6+2nπ	Solve for x 2cos(x)+ square root of 3=0
sec((3*x)/2)=−2	see full solution →	Solve for x sec((3x)/2)=-2
cos(x)=−√(,3)/2	see full solution →	Solve for x cos(x)=-( square root of 3)/2
sec(θ)/tan(θ)	csc(θ)	Simplify (sec(theta))/(tan(theta))
1/(−√(,3)/2)	−(2√(,3))/3	Simplify 1/(-( square root of 3)/2)
sec(π/4)	√(,2)	Find the Exact Value sec(pi/4)
cos(2)	cos(2)	Find the Exact Value cos(2)
cos(67.5)	√(,2−√(,2))/2	Find the Exact Value cos(67.5)
sin(19)	sin(19)	Find the Exact Value sin(19)
tan((5*π)/4)	1	Find the Exact Value tan((5pi)/4)
csc((7*π)/6)	−2	Find the Exact Value csc((7pi)/6)
sin((16*π)/3)	−√(,3)/2	Find the Exact Value sin((16pi)/3)
sec(−π)	−1	Find the Exact Value sec(-pi)
tan((17*π)/12)	2+√(,3)	Find the Exact Value tan((17pi)/12)
tan(300)	−√(,3)	Find the Exact Value tan(300)
1+cot2(θ)=csc2(θ)	csc2(θ)	Verify the Identity 1+cot(theta)^2=csc(theta)^2
cos(3/5)	cos(3/5)	Find the Exact Value cos(3/5)
cos((5*π)/12)	(√(,6)−√(,2))/4	Expand Using Sum/Difference Formulas cos((5pi)/12)
cos(π/12)	(√(,2)+√(,6))/4	Expand Using Sum/Difference Formulas cos(pi/12)
tan(75)	2+√(,3)	Expand Using Sum/Difference Formulas tan(75)
sin(75)	(√(,6)+√(,2))/4	Expand Using Sum/Difference Formulas sin(75)
36	π/5	Convert from Degrees to Radians 36
Solve the triangle with *a=2,b=2,c=2	60,B=60,C=60,a=2,b=2,c=2	Solve the Triangle tri{}{}{}{2}{}{}
160	(8*π)/9	Convert from Degrees to Radians 160
π/5	36	Convert from Radians to Degrees pi/5
−(7*π)/6	−210	Convert from Radians to Degrees -(7pi)/6
y=tan(x)	see full solution →	Find Amplitude, Period, and Phase Shift y=tan(x)
(2*π)/9	40	Convert from Radians to Degrees (2pi)/9
y=2sin(1/2x)	see full solution →	Graph y=2sin(1/2x)
y=cos(4*x)	see full solution →	Graph y=cos(4x)
√(,16)	4	Evaluate square root of 16
(5*π)/4	Quadrant III	Find the Quadrant of the Angle (5pi)/4
(3*π)/4	135	Convert from Radians to Degrees (3p)/4
3*π	540	Convert from Radians to Degrees 3p
y=−3*sec(x)	see full solution →	Find Amplitude, Period, and Phase Shift y=-3sec(x)
110	(11*π)/18	Convert from Degrees to Radians 110
−225	−(5*π)/4	Convert from Degrees to Radians -225
−(5*π)/3	−300	Convert from Radians to Degrees -(5pi)/3
sin((11*π)/12)	(√(,6)−√(,2))/4	Expand Using Sum/Difference Formulas sin((11pi)/12)
cos(225)	−√(,2)/2	Find the Exact Value cos(225)
tan(390)	√(,3)/3	Find the Exact Value tan(390)
sin((19*π)/6)	−1/2	Find the Exact Value sin((19pi)/6)
sin((11*π)/4)	√(,2)/2	Find the Exact Value sin((11pi)/4)
csc(90)	1	Find the Exact Value csc(90 degrees )
sin(2*π)	0	Find the Exact Value sin(2pi)
sin(30)	1/2	Find the Value Using the Unit Circle sin(30 degrees )
cot(x)=1	1⇒x=π/4+n*π	Solve for x cot(x)=1
sin(2*x)=√(,3)/2	see full solution →	Solve for x sin(2x)=( square root of 3)/2
sin(3*x)=1	1⇒x=π/6+(2nπ)/3	Solve for x sin(3x)=1
2*cos(x)+1=0	(2π)/3+2nπ,(4π)/3+2nπ	Solve for x 2cos(x)+1=0
tan(x)−1=0	0⇒x=π/4+(n*π)/2	Solve for x tan(x)^2-1=0
cos(2*x)=0	see full solution →	Solve for x cos(2x)=0
cos(θ)/sin(θ)	cot(θ)	Simplify (cos(theta))/(sin(theta))
(√(,2)/2)2	1/2	Simplify (( square root of 2)/2)^2
cos(x)*csc(x)	cot(x)	Simplify cos(x)csc(x)
tan(√(,3))	tan(√(,3))	Simplify tan( square root of 3)
arccsc(−√(,2))	−π/4	Simplify arccsc(- square root of 2)
csc(θ)=2,θ∈Quadrant I	see full solution →	Find the Other Trig Values in Quadrant I csc(theta)=2
sec(x)=2	see full solution →	Solve for x sec(x)=2
2*sin(x)−1=0	π/6+2kπ,(5π)/6+2k*π	Solve for x 2sin(x)-1=0
sin(x)=0	0⇒x=n*π	Solve for x sin(x)=0
sin(θ)/cos(θ)	tan(θ)	Simplify (sin(theta))/(cos(theta))
cot(−150)	√(,3)	Find the Exact Value cot(-150)
tan(35)	tan(35)	Find the Exact Value tan(35)
tan(112.5)	−1−√(,2)	Find the Exact Value tan(112.5)
tan(arcsin(1/2))	√(,3)/3	Find the Exact Value tan(arcsin(1/2))
sin(−π)	0	Find the Exact Value sin(-pi)
sin(15)	(√(,6)−√(,2))/4	Expand Using Sum/Difference Formulas sin(15)
−48	−(4*π)/15	Convert from Degrees to Radians -48 degrees
40	(2*π)/9	Convert from Degrees to Radians 40 degrees
25	(5*π)/36	Convert from Degrees to Radians 25
(7*π)/3	420	Convert from Radians to Degrees (7pi)/3
−120	−(2*π)/3	Convert from Degrees to Radians -120
y=sin(2*x)	1	Find Amplitude, Period, and Phase Shift y=sin(2x)
(13*π)/6	390	Convert from Radians to Degrees (13pi)/6
π/3	π/3≈1.04719755	Evaluate pi/3
y=4*sin(x)	4*sin(x)	Graph y=4sin(x)
y=1/2*sin(x)	1/2*sin(x)	Graph y=1/2*sin(x)
y=3cos(2x)	3cos(2x)	Graph y=3cos(2x)
y=−3*cos(x)	−3*cos(x)	Graph y=-3cos(x)
sin2(x)/(1−cos(x))	1+cos(x)	Rationalize the Denominator (sin(x)^2)/(1-cos(x))
(4*π)/3	(4π)/3 is in Quadrant III	Find the Quadrant of the Angle (4pi)/3
(2*π)/3	(2*π)/3∈Quadrant II	Find the Quadrant of the Angle (2pi)/3
−π/4	−45	Convert from Radians to Degrees -pi/4
(log_a)(b2)	2*(log_a)(b)	Simplify/Condense log base a of b^2
y=2*cos(x)	2,Period=2*π,Phase Shift=0	Find Amplitude, Period, and Phase Shift y=2cos(x)
y=−3*sin(x)	3,Period=2*π,Phase Shift=0	Find Amplitude, Period, and Phase Shift y=-3sin(x)
140	(7*π)/9	Convert from Degrees to Radians 140
−315	−(7*π)/4	Convert from Degrees to Radians -315
200	(10*π)/9	Convert from Degrees to Radians 200
−75	−(5*π)/12	Convert from Degrees to Radians -75
75	(5*π)/12	Convert from Degrees to Radians 75 degrees
π/4	π/4	Find the Reference Angle pi/4
π/6	π/6	Find the Reference Angle pi/6
240	60	Find the Reference Angle 240
sec(150)	−(2√(,3))/3	Find the Exact Value sec(150 degrees )
cot((3*π)/4)	−1	Find the Exact Value cot((3pi)/4)
arcsin(sin((5*π)/6))	π/6	Find the Exact Value arcsin(sin((5pi)/6))
sin(θ)=1/2	π/6+2kπ,(5π)/6+2k*π	Verify the Identity sin(theta)=1/2
sec(x)−sec(x)*sin2(x)=cos(x)	cos(x)	Verify the Identity sec(x)-sec(x)sin(x)^2=cos(x)
cos(x)−sin(x)=1−2*sin(x)	1−2*sin(x)	Verify the Identity cos(x)^2-sin(x)^2=1-2sin(x)^2
sin(90)	1	Find the Exact Value sin(90 degrees )
sin(5/13)	sin(5/13)	Find the Exact Value sin(5/13)
sin((7*π)/2)	−1	Find the Exact Value sin((7pi)/2)
cot(300)	−√(,3)/3	Find the Exact Value cot(300 degrees )
sin(−1/2)	−sin(1/2)	Find the Exact Value sin(-1/2)
cot(−(2*π)/3)	√(,3)/3	Find the Exact Value cot(-(2pi)/3)
cos(420)	1/2	Find the Exact Value cos(420)
cos((7*π)/8)	−√(,2+√(,2))/2	Find the Exact Value cos((7pi)/8)
cos2(θ)−sin2(θ)	cos(2*θ)	Simplify cos(theta)^2-sin(theta)^2
sin(x)=1	1⇒x=π/2+2nπ,n∈ℤ	Solve for x sin(x)=1
sin(x)−cos(x)=0	0⇒x=π/4+(n*π)/2	Solve for x sin(x)^2-cos(x)^2=0
cos(x)=−1	−1⇒x=π+2nπ,n∈ℤ	Solve for x cos(x)=-1
sin(2*x)=−1	−1⇒x=(3π)/4+nπ	Solve for x sin(2x)=-1
csc(x)=2	see full solution →	Solve for x csc(x)=2
x=4*cos(35)	x≈3.2766	Solve for x x=4cos(35 degrees )
arccsc(−(2√(,3))/3)	−π/3	Simplify arccsc(-(2 square root of 3)/3)
cos(2*arctan(x))	(1−x2)/(1+x2)	Simplify cos(2arctan(x))
sin(θ)+1/cos(θ)	(sin(θ)*cos(θ)+1)/cos(θ)	Simplify sin(theta)+1/(cos(theta))
tan(θ)/cot(θ)	tan2(θ)	Simplify (tan(theta))/(cot(theta))
tan(θ)/sec(θ)	sin(θ)	Simplify (tan(theta))/(sec(theta))
cos2(θ)*(1+tan2(θ))	1	Simplify cos(theta)^2(1+tan(theta)^2)
tan2(θ)−sec2(θ)	−1	Simplify tan(theta)^2-sec(theta)^2
√(,3)/(2√(,3))	1/2	Simplify ( square root of 3)/(2 square root of 3)
sin(x)=√(,2)/2	see full solution →	Solve for x sin(x)=( square root of 2)/2
sin(2*x)=√(,3)/2	see full solution →	Solve for x sin(2x)=( square root of 3)/2
sin(x)=−√(,2)/2	see full solution →	Solve for x sin(x)=-( square root of 2)/2
sin(2*x)=1/2	see full solution →	Solve for x sin(2x)=1/2
√(,3)/2/(−1/2)	−√(,3)	Simplify (( square root of 3)/2)/(-1/2)
cos(arcsin(x))	√(,1−x2)	Simplify cos(arcsin(x))
csc((5*π)/6)	2	Find the Exact Value csc((5pi)/6)
cos(495)	−√(,2)/2	Find the Exact Value cos(495)
cos(20)	cos(20)	Find the Exact Value cos(20)
sec(240)	−2	Find the Exact Value sec(240 degrees )
cos(−150)	−√(,3)/2	Find the Exact Value cos(-150 degrees )
csc(135)	√(,2)	Find the Exact Value csc(135 degrees )
sin(3)	sin(3)	Find the Exact Value sin(3)
tan(1)	tan(1)	Find the Exact Value tan(1)
sin(arctan(3/4))	3/5	Find the Exact Value sin(arctan(3/4))
sin((9*π)/4)	√(,2)/2	Find the Exact Value sin((9pi)/4)
(sin(θ)−cos(θ))2	1−sin(2*θ)	Expand the Trigonometric Expression (sin(theta)-cos(theta))^2
arccos(cos((7*π)/6))	(5*π)/6	Find the Exact Value arccos(cos((7pi)/6))
120	60	Find the Reference Angle 120
cos((7*π)/12)	(√(,2)−√(,6))/4	Expand Using Sum/Difference Formulas cos((7pi)/12)
y=5*sin(x)	5	Find Amplitude, Period, and Phase Shift y=5sin(x)
π/3	(2*π)/3	Find the Supplement pi/3
cos(x)/(1−sin(x))=sec(x)+tan(x)	sec(x)+tan(x)	Verify the Identity (cos(x))/(1-sin(x))=sec(x)+tan(x)
180	π	Convert from Degrees to Radians 180 degrees
y=cos(5*x)	1,Period=(2*π)/5,Phase Shift=0	Find Amplitude, Period, and Phase Shift y=cos(5x)
(5*π)/2	450	Convert from Radians to Degrees (5pi)/2
−2* radians	−360/π≈−114.59	Convert from Radians to Degrees -2
10* radians	1800/π	Convert from Radians to Degrees 10
100	(5*π)/9	Convert from Degrees to Radians 100
8* radians	1440/π	Convert from Radians to Degrees 8
√(,64)	8	Evaluate square root of 64
4√(,3)	4√(,3)≈6.928	Evaluate 4 square root of 3
y=cos(x)−1	cos(x)−1	Graph y=cos(x)-1
y=3*tan(x)	3*tan(x)	Graph y=3tan(x)
y=1/2*cos(x)	1/2*cos(x)	Graph y=1/2*cos(x)
y=5*sin(x)	5*sin(x)	Graph y=5sin(x)
ƒ(x)=cos(x)	cos(x)	Graph f(x)=cos(x)
y=sin(x−π/4)	sin(x−π/4)	Graph y=sin(x-pi/4)
y=2*sin(x)	2*sin(x)	Graph 2sin(x)
1+i	√(,2)(cos(π/4)+isin(π/4))	Convert to Trigonometric Form 1+i
5*π	900	Convert from Radians to Degrees 5p
100	(5*π)/9	Convert from Degrees to Radians 100 degrees
(7*π)/2	630	Convert from Radians to Degrees (7pi)/2
−(7*π)/12	−105	Convert from Radians to Degrees -(7pi)/12
(3*π)/10	54	Convert from Radians to Degrees (3pi)/10
π/7	180/7	Convert from Radians to Degrees pi/7
(2,−2)	(2√(,2),−π/4)	Convert to Polar Coordinates (2,-2)
(2,−π)	(2,−π)⇒(−2,0)	Convert to Rectangular Coordinates (2,-p)
31	(31*π)/180	Convert from Degrees to Radians 31 degrees
390	(13*π)/6	Convert from Degrees to Radians 390
ƒ(t)=−7tan(4t)	see full solution →	Find Amplitude, Period, and Phase Shift f(t)=-7tan(4t)
y=cos(x)	1,Period=2*π,Phase Shift=0	Find Amplitude, Period, and Phase Shift y=cos(x)
cos(x)/(1+sin(x))+(1+sin(x))/cos(x)=2*sec(x)	2*sec(x)	Verify the Identity
π/6	(5*π)/6	Find the Supplement pi/6
π/3	π/6	Find the Complement pi/3
cos(75)	(√(,6)−√(,2))/4	Expand Using Sum/Difference Formulas cos(75)
y=4*cos(x)	4	Find Amplitude, Period, and Phase Shift y=4cos(x)
π/3	π/3	Find the Reference Angle pi/3
cos((10*π)/3)	−1/2	Find the Exact Value cos((10pi)/3)
sin(80)	sin(80)	Find the Exact Value sin(80)
tan(2)	tan(2)	Find the Exact Value tan(2)
cot(315)	−1	Find the Exact Value cot(315 degrees )
cot(300)	−√(,3)/3	Find the Exact Value cot(300)
tan(420)	√(,3)	Find the Exact Value tan(420)
sin(12)	(√(,10+2√(,5))+√(,3)−√(,15))/8	Find the Exact Value sin(12)
sin(10)	sin(10)	Find the Exact Value sin(10)
sin(−150)	−1/2	Find the Exact Value sin(-150 degrees )
arccos(−1/2)	(2*π)/3	Find the Exact Value arccos(-1/2)
sin((3*π)/8)	√(,2+√(,2))/2	Find the Exact Value sin((3pi)/8)
cos(−120)	−1/2	Find the Exact Value cos(-120 degrees )
cot(330)	−√(,3)	Find the Exact Value cot(330 degrees )
cos(285)	(√(,6)−√(,2))/4	Find the Exact Value cos(285)
cos((5*π)/8)	−√(,2−√(,2))/2	Find the Exact Value cos((5pi)/8)
1/(−√(,2)/2)	−√(,2)	Simplify 1/(-( square root of 2)/2)
sin2(π/9)+cos2(π/9)	1	Simplify sin(pi/9)^2+cos(pi/9)^2
sin(x)=−1	(3π)/2+2π*n	Solve for x sin(x)=-1
sin(x)=4/5	see full solution →	Solve for x sin(x)=4/5
cos(x)=−√(,2)/2	see full solution →	Solve for x cos(x)=-( square root of 2)/2
2*sin2(x)+sin(x)−1=0	see full solution →	Solve for x 2sin(x)^2+sin(x)-1=0
2*cos(x)−1=0	π/3+2nπ,(5π)/3+2n*π	Solve for x 2cos(x)-1=0
sin(2*x)−sin(x)=0	see full solution →	Solve for x sin(2x)-sin(x)=0
sin(3*x)=1	see full solution →	Solve for x sin(3x)=1
cos(x)=4/5,x∈Quadrant IV	see full solution →	Find the Other Trig Values in Quadrant IV cos(x)=4/5
tan(arccos(6*x))	√(,1−36x2)/(6x)	Simplify tan(arccos(6x))
sin(A)	sin(A)	Simplify sin(A)
tan(arccos(7*x))	√(,1−49x2)/(7x)	Simplify tan(arccos(7x))
cos2(x)−sin2(x)	cos(2*x)	Simplify cos(x)^2-sin(x)^2
1/a−1/b	(b−a)/(a*b)	Simplify 1/a-1/b
√(,8/9)	(2√(,2))/3	Simplify square root of 8/9
tan(arccos(5*x))	√(,1−25x2)/(5x)	Simplify tan(arccos(5x))
sin(x)=3/5, Quadrant II	see full solution →	Find the Other Trig Values in Quadrant II sin(x)=3/5
sec(θ)=−2,θ∈Quadrant II	see full solution →	Find the Other Trig Values in Quadrant II sec(theta)=-2
cos(x)=−3/5, Quadrant II	see full solution →	Find the Other Trig Values in Quadrant II cos(x)=-3/5
sin(x)=cos(x)	cos(x)⇒x=π/4+n*π	Solve for x sin(x)=cos(x)
tan(x)=√(,3)/3	see full solution →	Solve for x tan(x)=( square root of 3)/3
cos(2*x)=−√(,3)/2	(5π)/12+πk,(7π)/12+πk	Solve for x cos(2x)=-( square root of 3)/2
π/9	20	Evaluate pi/9
cot(−π/4)	−1	Find the Exact Value cot(-pi/4)
cos(−π/4)	√(,2)/2	Find the Exact Value cos(-pi/4)
sec(−π/6)	(2√(,3))/3	Find the Exact Value sec(-pi/6)
cot(π/4)	1	Find the Exact Value cot(pi/4)
cos(5)	cos(5)	Find the Exact Value cos(5)
csc(1)	1/sin(1)	Find the Exact Value csc(1)
sin(15)	(√(,6)−√(,2))/4	Find the Exact Value sin(15 degrees )
cot(135)	−1	Find the Exact Value cot(135 degrees )
cot(2*π)	Undefined	Find the Exact Value cot(2pi)
sin(−240)	√(,3)/2	Find the Exact Value sin(-240 degrees )
tan((11*π)/12)	√(,3)−2	Find the Exact Value tan((11pi)/12)
cos(−135)	−√(,2)/2	Find the Exact Value cos(-135 degrees )
(x+y)3	x3+3x2y+3xy2+y3	Expand the Trigonometric Expression (x+y)^3
sin(180)	0	Find the Exact Value sin(180)
tan(−x)*cos(x)=−sin(x)	−sin(x)	Verify the Identity tan(-x)cos(x)=-sin(x)
y=3*cos(x)	3,Period=2*π,Phase Shift=0	Find Amplitude, Period, and Phase Shift y=3cos(x)
570	(19*π)/6	Convert from Degrees to Radians 570
22	(11*π)/90	Convert from Degrees to Radians 22
y=−3cos(4x−8*π)	3,Period=π/2,Phase Shift=2*π	Find Amplitude, Period, and Phase Shift y=-3cos(4x-8pi)
π/10	18	Convert from Radians to Degrees pi/10
cos(θ)* given the point *(0,−2)	0	Find the Cosine Given the Point (0,-2)
sin(θ)>0	see full solution →	Graph sin(theta)>0
y=3sin(4x)	3sin(4x)	Graph y=3sin(4x)
y=−cos(x)	−cos(x)	Graph y=-cos(x)
y=2sin(2x)	2sin(2x)	Graph y=2sin(2x)
y=cos(x−π/2)	cos(x−π/2)=sin(x)	Graph y=cos(x-pi/2)
(3*π)/4	(3*π)/4∈Quadrant II	Find the Quadrant of the Angle (3pi)/4
π/4	π/4∈Quadrant I	Find the Quadrant of the Angle pi/4
2√(,2)	2√(,2)≈2.82843	Evaluate 2 square root of 2
3+3*i	3√(,2)(cos(π/4)+isin(π/4))	Convert to Trigonometric Form 3+3i
csc(45)	√(,2)	Evaluate csc(45 degrees )
sin(1/2)	sin(1/2)≈0.4794255386	Evaluate sin(1/2)
(4*π)/5	144	Convert from Radians to Degrees (4pi)/5
(10*π)/3	600	Convert from Radians to Degrees (10pi)/3
(9*π)/4	405	Convert from Radians to Degrees (9pi)/4
(3*π)/4	135	Convert from Degrees to Radians (3pi)/4
9* radians	1620/π∘	Convert from Radians to Degrees 9
125	(25*π)/36	Convert from Degrees to Radians 125
115	(23*π)/36	Convert from Degrees to Radians 115
−105	−(7*π)/12	Convert from Degrees to Radians -105
15	π/12	Convert from Degrees to Radians 15 degrees
5	π/36	Convert from Degrees to Radians 5
y=−4*sin(x)	4,Period=2*π,Phase Shift=0	Find Amplitude, Period, and Phase Shift y=-4sin(x)
120	60	Find the Reference Angle 120 degrees
210	30	Find the Reference Angle 210
sin((5*π)/12)	(√(,6)+√(,2))/4	Expand Using Sum/Difference Formulas sin((5pi)/12)
tan(15)	2−√(,3)	Expand Using Sum/Difference Formulas tan(15)
(11*π)/3	π/3	Find the Reference Angle (11pi)/3
π/6	π/3	Find the Complement pi/6
cot(x)/csc(x)=cos(x)	cos(x)	Verify the Identity (cot(x))/(csc(x))=cos(x)
cos(12/13)	cos(12/13)	Find the Exact Value cos(12/13)
sin(6)	sin(6)	Find the Exact Value sin(6)
sin(55)	sin(55)	Find the Exact Value sin(55)
sin(arccos(1/2))	√(,3)/2	Find the Exact Value sin(arccos(1/2))
tan(180)	0	Find the Exact Value tan(180 degrees )
tan(π/6+π/4)	2+√(,3)	Find the Exact Value tan(pi/6+pi/4)
tan(10)	see full solution →	Find the Exact Value tan(10)
tan(750)	√(,3)/3	Find the Exact Value tan(750)
cos(300)	1/2	Find the Exact Value cos(300 degrees )
sec(1)	1/cos(1)	Find the Exact Value sec(1)
sin(330)	−1/2	Find the Exact Value sin(330 degrees )
sec(360)	1	Find the Exact Value sec(360)
sin((13*π)/6)	1/2	Find the Exact Value sin((13pi)/6)
csc(−π/4)	−√(,2)	Find the Exact Value csc(-pi/4)
cos(10)	cos(10)	Find the Exact Value cos(10)
sin(45)	√(,2)/2	Find the Value Using the Unit Circle sin(45)
sec(x−1)/sin(x)	1/(sin(x)*cos(x−1))	Simplify (sec(x-1)^2)/(sin(x)^2)
cos(A)/sin(A)	cot(A)	Simplify (cos(A))/(sin(A))
cos(3*x)=1	1⇒x=(2nπ)/3	Solve for x cos(3x)=1
csc(x)=2	see full solution →	Solve for x csc(x)=2
cos(x)+1=0	0⇒x=π+2nπ	Solve for x cos(x)+1=0
3*sin2(x)=cos2(x)	π/6+nπ,(5π)/6+n*π	Solve for x 3sin(x)^2=cos(x)^2
cos(√(,2)/2)	cos(√(,2)/2)	Simplify cos(( square root of 2)/2)
cos(arcsin(√(,2)/2))	√(,2)/2	Simplify cos(arcsin(( square root of 2)/2))
(11*π)/4	495	Convert from Radians to Degrees (11pi)/4
sin(θ)=−1/2,θ∈Quadrant III	see full solution →	Find the Other Trig Values in Quadrant III sin(theta)=-1/2
z=2+5*i	2 + 5i	Find All Complex Number Solutions z=2+5i
(−2)/√(,2)	−√(,2)	Simplify -2/( square root of 2)
sec(arcsin(u))	1/√(,1−u2)	Simplify sec(arcsin(u))
(x2)/(y2)+1	(x2+y2)/(y2)	Simplify (x^2)/(y^2)+1
tan(arccos(4*x))	√(,1−16x2)/(4x)	Simplify tan(arccos(4x))
tan(π/6)	√(,3)/3	Simplify tan(pi/6)
√(,3)/√(,6)	√(,2)/2	Simplify ( square root of 3)/( square root of 6)
√(,3)/√(,33)	√(,11)/11	Simplify ( square root of 3)/( square root of 33)
√(,3)/1	√(,3)	Simplify ( square root of 3)/1
1−2*cos2(x)+cos4(x)	sin4(x)	Simplify 1-2cos(x)^2+cos(x)^4
sin(x)=5/13, Quadrant II	see full solution →	Find the Other Trig Values in Quadrant II sin(x)=5/13
sin(x)/√(,1−sin2(x))	tan(x)	Simplify (sin(x))/( square root of 1-sin(x)^2)
arccsc(√(,2))	π/4	Simplify arccsc( square root of 2)
2*sin2(x)−cos(x)−1=0	π/3+2nπ,(5π)/3+2nπ,π+2n*π	Solve for x 2sin(x)^2-cos(x)-1=0
2*cos(x)−√(,3)=0	±π/6+2πn	Solve for x 2cos(x)- square root of 3=0
100/(1+25e(−0.095t))=70	see full solution →	Solve for t 100/(1+25e^(-0.095t))=70
5/(2√(,6))	(5√(,6))/12	Simplify 5/(2 square root of 6)
1/2÷√(,3)/2	√(,3)/3	Simplify (1/2)÷(( square root of 3)/2)
tan((3*π)/2)	undefined	Evaluate tan((3pi)/2)
sin(60)	√(,3)/2	Find the Value Using the Unit Circle sin(60 degrees )
cos((7*π)/2)	0	Find the Exact Value cos((7pi)/2)
sin(−π/3)	−√(,3)/2	Find the Exact Value sin(-pi/3)
sin(arctan(−1))	−√(,2)/2	Find the Exact Value sin(arctan(-1))
cos(405)	√(,2)/2	Find the Exact Value cos(405)
csc(270)	−1	Find the Exact Value csc(270 degrees )
cos(−45)	√(,2)/2	Find the Exact Value cos(-45 degrees )
csc((3*π)/2)	−1	Find the Exact Value csc((3pi)/2)
sec((5*π)/3)	2	Find the Exact Value sec((5pi)/3)
tan(36)	√(,5−2√(,5))	Find the Exact Value tan(36)
sin(330)	−1/2	Find the Exact Value sin(330)
tan((13*π)/4)	1	Find the Exact Value tan((13pi)/4)
cos(180)	−1	Find the Exact Value cos(180 degrees )
sin(9)	√(,8−2√(,10+2√(,5)))/4	Find the Exact Value sin(9)
csc(300)	−(2√(,3))/3	Find the Exact Value csc(300 degrees )
sin(56)	sin(56)	Find the Exact Value sin(56)
tan(210)	√(,3)/3	Find the Exact Value tan(210)
sin(37)	sin(37)	Find the Exact Value sin(37)
tan(−(4*π)/3)	−√(,3)	Find the Exact Value tan(-(4pi)/3)
sec(300)	2	Find the Exact Value sec(300)
sin2(x)	1/2−1/2cos(2x)	Expand the Trigonometric Expression sin(x)^2
cos(x)	see full solution →	Expand the Trigonometric Expression cos(x)
sec(180)	−1	Find the Exact Value sec(180)
sec(−π/3)	2	Find the Exact Value sec(-pi/3)
tan(2*π)	0	Find the Exact Value tan(2pi)
sin(x)/(1+cos(x))+(1+cos(x))/sin(x)=2*csc(x)	2*csc(x)	Verify the Identity
csc(x)−sin(x)=cot(x)*cos(x)	cot(x)*cos(x)	Verify the Identity csc(x)-sin(x)=cot(x)cos(x)
tan(x)+cot(x)=1/(sin(x)*cos(x))	1/(sin(x)*cos(x))	Verify the Identity tan(x)+cot(x)=1/(sin(x)cos(x))
csc(x)−sin(x)=cos(x)*cot(x)	cos(x)*cot(x)	Verify the Identity csc(x)-sin(x)=cos(x)cot(x)
(9*π)/4	π/4	Find the Reference Angle (9pi)/4
y=sin(3*x)	1,Period=(2*π)/3,Phase Shift=0	Find Amplitude, Period, and Phase Shift y=sin(3x)
y=cos(3*x)	1,Period=(2*π)/3,Phase Shift=0	Find Amplitude, Period, and Phase Shift y=cos(3x)
450	(5*π)/2	Convert from Degrees to Radians 450
36	π/5	Convert from Degrees to Radians 36 degrees
35	(7*π)/36	Convert from Degrees to Radians 35
345	(23*π)/12	Convert from Degrees to Radians 345
−90	−π/2	Convert from Degrees to Radians -90
72	(2*π)/5	Convert from Degrees to Radians 72 degrees
250	(25*π)/18	Convert from Degrees to Radians 250
y=cos(4*x)	1,Period=π/2,Phase Shift=0	Find Amplitude, Period, and Phase Shift y=cos(4x)
ln(1/e)	−1	Expand the Logarithmic Expression natural log of 1/e
10	π/18	Convert from Degrees to Radians 10
π/4	π/4	Convert from Degrees to Radians pi/4
−(11*π)/6	−330	Convert from Radians to Degrees -(11pi)/6
−9*π	−1620	Convert from Radians to Degrees -9pi
1/2* radians	90/π	Convert from Radians to Degrees 1/2
(11*π)/3	660	Convert from Radians to Degrees (11pi)/3
(2,π)	(2,π)⇒(−2,0)	Convert to Rectangular Coordinates (2,p)
(3,4)	(3,4)⇒(5,arctan(4/3))	Convert to Polar Coordinates (3,4)
3−3*i	3√(,2)(cos((7π)/4)+isin((7π)/4))	Convert to Trigonometric Form 3-3i
sin(θ)* given *(x,y)=(−1/2,√(,3)/2)	√(,3)/2	Find the Sine Given the Point (-1/2,( square root of 3)/2)
y=−3*sin(x)	-	Graph y=-3sin(x)
y=−4*sin(x)	−4*sin(x)	Graph y=-4sin(x)
y=cos(1/2*x)	see full solution →	Graph y=cos(1/2x)
y=3cos(4x)	see full solution →	Graph y=3cos(4x)
y=2cos(2x)	2cos(2x)	Graph y=2cos(2x)
y=2sin(5x)	2sin(5x)	Graph y=2sin(5x)
y=2sin(4x)	2sin(4x)	Graph y=2sin(4x)
y=5*cos(x)	5*cos(x)	Graph y=5cos(x)
y=cos(x)+3	cos(x)+3	Graph y=cos(x)+3
sin(θ)* given *(x,y)=(−√(,3)/2,−1/2)	−1/2	Find the Sine Given the Point (-( square root of 3)/2,-1/2)
sin(θ)* given *(x,y)=(−4,3)	3/5	Find the Sine Given the Point (-4,3)
5−5*i	5√(,2)(cos((7π)/4)+isin((7π)/4))	Convert to Trigonometric Form 5-5i
cot(60)	√(,3)/3	Evaluate cot(60 degrees )
sec(45)	√(,2)	Evaluate sec(45 degrees )
π/3	60	Convert from Degrees to Radians pi/3
3* rad	540/π≈171.887	Convert from Radians to Degrees 3rad
2	π/90	Convert from Degrees to Radians 2
165	(11*π)/12	Convert from Degrees to Radians 165
12	π/15	Convert from Degrees to Radians 12
70	(7*π)/18	Convert from Degrees to Radians 70
325	(65*π)/36	Convert from Degrees to Radians 325
y=−3*cos(x)	3,Period=2*π,Phase Shift=0	Find Amplitude, Period, and Phase Shift y=-3cos(x)
cos((11*π)/12)	(−√(,6)−√(,2))/4	Expand Using Sum/Difference Formulas cos((11pi)/12)
(11*π)/4	π/4	Find the Reference Angle (11pi)/4
−150	30	Find the Reference Angle -150
300	60	Find the Reference Angle 300
sec(x)−tan(x)*sin(x)=1/sec(x)	1/sec(x)	Verify the Identity sec(x)-tan(x)sin(x)=1/(sec(x))
tan(x)csc(x)cos(x)=1	1	Verify the Identity tan(x)csc(x)cos(x)=1
tan(2*x)=2/(cot(x)−tan(x))	2/(cot(x)−tan(x))	Verify the Identity tan(2x)=2/(cot(x)-tan(x))
tan(90)	undefined	Find the Exact Value tan(90)
arctan(tan((4*π)/5))	−π/5	Find the Exact Value arctan(tan((4pi)/5))
tan(x)	sin(x)/cos(x)	Expand the Trigonometric Expression tan(x)
sin(0)	0	Find the Value Using the Unit Circle sin(0)
sin(4*π)	0	Find the Exact Value sin(4pi)
sec(315)	√(,2)	Find the Exact Value sec(315)
sin(4)	sin(4)	Find the Exact Value sin(4)
sin(420)	√(,3)/2	Find the Exact Value sin(420)
sin(57)	(1+√(,5)+√(,30−6√(,5)))/8	Find the Exact Value sin(57)
tan(−(3*π)/2)	Undefined	Find the Exact Value tan(-(3pi)/2)
cot(210)	√(,3)	Find the Exact Value cot(210 degrees )
sin(2)	sin(2)	Find the Exact Value sin(2)
sec(2)	1/cos(2)	Find the Exact Value sec(2)
sec(π/12)	√(,6)−√(,2)	Find the Exact Value sec(pi/12)
sec((11*π)/3)	2	Find the Exact Value sec((11pi)/3)
cot(π/5)	√(,1+(2√(,5))/5)	Find the Exact Value cot(pi/5)
cot(−(3*π)/4)	1	Find the Exact Value cot(-(3pi)/4)
sin(75)	(√(,6)+√(,2))/4	Find the Exact Value sin(75 degrees )
cos(390)	√(,3)/2	Find the Exact Value cos(390)
cos(180)	−1	Find the Exact Value cos(180)
cos(π/4+π/3)	(√(,2)−√(,6))/4	Find the Exact Value cos(pi/4+pi/3)
−(3*π)/4	−135	Evaluate -(3pi)/4
arccos(−1)	π	Evaluate arccos(-1)
sin4(x)	(3−4cos(2x)+cos(4*x))/8	Simplify sin(x)^4
cos(90−x)	sin(x)	Simplify cos(90 degrees -x)
(−1/2)/√(,3)/2	−√(,3)/3	Simplify (-1/2)/(( square root of 3)/2)
(−√(,3)/2)/1/2	−√(,3)	Simplify (-( square root of 3)/2)/(1/2)
cos(x)/(1−sin(x))	sec(x)+tan(x)	Simplify (cos(x))/(1-sin(x))
√(3,24)	2√(3,3)	Simplify cube root of 24
√(,161)	√(,161)	Simplify square root of 161
sec(θ)−cos(θ)	sin(θ)*tan(θ)	Simplify sec(theta)-cos(theta)
−√(,3)/3	−√(,3)/3	Simplify -( square root of 3)/3
cos(2*x)=√(,3)/2	√(,3)/2⇒x=n*π±π/12	Solve for x cos(2x)=( square root of 3)/2
cos(x)=0	0⇒x=π/2+n*π,n∈ℤ	Solve for x cos(x)=0
sec(x)=2	see full solution →	Solve for x sec(x)=2
sec(x)=−2	see full solution →	Solve for x sec(x)=-2
tan(x)=−√(,3)	−√(,3)⇒x=(2π)/3+nπ	Solve for x tan(x)=- square root of 3
2*sin2(x)−sin(x)−1=0	see full solution →	Solve for x 2sin(x)^2-sin(x)-1=0
cot(x)=√(,3)	see full solution →	Solve for x cot(x) = square root of 3
3sin(x)−3cos(x)=1	see full solution →	Solve for x 3sin(x)-3cos(x)=1
tan(3*x)=1	1⇒x=π/12+(n*π)/3	Solve for x tan(3x)=1
arcsec((2√(,3))/3)	π/6	Simplify arcsec((2 square root of 3)/3)
tan(arcsin(√(,2)/2))	1	Simplify tan(arcsin(( square root of 2)/2))
sin(θ)/csc(θ)	sin2(θ)	Simplify (sin(theta))/(csc(theta))
√(,(21−(−4))2+(25−5)2)	5√(,41)	Simplify square root of (21-(-4))^2+(25-5)^2
tan(arccos(8*x))	√(,1−64x2)/(8x)	Simplify tan(arccos(8x))
√(,5)/√(,41)	√(,205)/41	Simplify ( square root of 5)/( square root of 41)
√(,195)	√(,195)	Simplify square root of 195
√(,588)	14√(,3)	Simplify square root of 588
sec2(x)−1	tan2(x)	Simplify sec(x)^2-1
√(,33)/√(,3)	√(,11)	Simplify ( square root of 33)/( square root of 3)
sin4(x)−cos4(x)	−cos(2*x)	Simplify sin(x)^4-cos(x)^4
tan2(x)−sec2(x)	−1	Simplify tan(x)^2-sec(x)^2
sin(arctan(√(,3)))	√(,3)/2	Simplify sin(arctan( square root of 3))
arccot(−√(,3)/3)	(2*π)/3	Simplify arccot(-( square root of 3)/3)
arcsin(−√(,3)/2)	−π/3	Simplify arcsin(- square root of 3/2)
arcsin(√(,2)/2)	π/4	Simplify arcsin( square root of 2/2)
sin(θ)=1,0≤θ≤π/2	see full solution →	Find the Other Trig Values in Quadrant I sin(theta)=1
csc(120)	(2√(,3))/3	Find the Exact Value csc(120 degrees )
sin(x)+cos(x)=0	0⇒x=(3π)/4+nπ,n∈ℤ	Solve for x sin(x)+cos(x)=0
sin(2*x)=1/2	see full solution →	Solve for x sin(2x)=1/2
sin(2x)cos(x)+cos(2x)sin(x)=0	0⇒x=(n*π)/3	Solve for x sin(2x)cos(x)+cos(2x)sin(x)=0
2*sin2(x)−sin(x)−1=0	see full solution →	Solve for x 2sin(x)^2-sin(x)-1=0
cos(2*x)=cos(x)	see full solution →	Solve for x cos(2x)=cos(x)
cos(2x)−√(,2)sin(x)=1	see full solution →	Solve for x cos(2x)- square root of 2sin(x)=1
sin(x)=3/5	see full solution →	Solve for x sin(x)=3/5
v=−2i+5j	<−2,5>	Solve for v v=-2i+5j
−√(,2)/2	−1/√(,2)	Simplify -( square root of 2)/2
(7*π)/3	2*π+π/3	Evaluate (7pi)/3
sec(30)	(2√(,3))/3	Evaluate sec(30 degrees )
sin(60)	√(,3)/2	Find the Value Using the Unit Circle sin(60)
cos(−(5*π)/4)	−√(,2)/2	Find the Exact Value cos(-(5pi)/4)
cos(32)	cos(32)	Find the Exact Value cos(32)
cos(4*π)	1	Find the Exact Value cos(4pi)
cos(−90)	0	Find the Exact Value cos(-90 degrees )
cos(15)	(√(,6)+√(,2))/4	Find the Exact Value cos(15 degrees )
tan(90)	undefined	Find the Exact Value tan(90 degrees )
csc(−(3*π)/4)	−√(,2)	Find the Exact Value csc(-(3pi)/4)
cos(−1.9967)	−0.4121	Find the Exact Value cos(-1.9967)
cot(−60)	−√(,3)/3	Find the Exact Value cot(-60 degrees )
sin((11*π)/2)	−1	Find the Exact Value sin((11pi)/2)
sec(300)	2	Find the Exact Value sec(300 degrees )
sin(12/13)	sin(12/13)	Find the Exact Value sin(12/13)
sec(420)	2	Find the Exact Value sec(420)
cos(−270)	0	Find the Exact Value cos(-270 degrees )
sin((8*π)/3)	√(,3)/2	Find the Exact Value sin((8pi)/3)
tan(9)	√(,5)+1−√(,5+2√(,5))	Find the Exact Value tan(9)
sec(180)	−1	Find the Exact Value sec(180 degrees )
tan(−(7*π)/6)	−√(,3)/3	Find the Exact Value tan(-(7pi)/6)
tan((7*π)/8)	1−√(,2)	Find the Exact Value tan((7pi)/8)
tan((5*π)/2)	Undefined	Find the Exact Value tan((5pi)/2)
csc(240)	−(2√(,3))/3	Find the Exact Value csc(240 degrees )
sin(495)	√(,2)/2	Find the Exact Value sin(495)
sin(−210)	1/2	Find the Exact Value sin(-210 degrees )
sin((3*π)/2)	−1	Find the Value Using the Unit Circle sin((3pi)/2)
cos(4*x)	8cos4(x)−8cos2(x)+1	Expand the Trigonometric Expression cos(4x)
cot((2*π)/3)	−√(,3)/3	Find the Exact Value cot((2pi)/3)
tan(a)+cot(a)=sec(a)*csc(a)	sec(a)*csc(a)	Verify the Identity tan(a)+cot(a)=sec(a)*csc(a)
sin(x)*sec(x)=tan(x)	tan(x)	Verify the Identity sin(x)sec(x)=tan(x)
sin(x)/(1−cos(x))=csc(x)+cot(x)	csc(x)+cot(x)	Verify the Identity (sin(x))/(1-cos(x))=csc(x)+cot(x)
π/4	(3*π)/4	Find the Supplement pi/4
−120	60	Find the Reference Angle -120
(4*π)/3	π/3	Find the Reference Angle (4pi)/3
sin(165)	(√(,6)−√(,2))/4	Expand Using Sum/Difference Formulas sin(165)
y=cos(2*x)	1,Period=π,Phase Shift=0	Find Amplitude, Period, and Phase Shift y=cos(2x)
y=csc(x)	see full solution →	Find Amplitude, Period, and Phase Shift y=csc(x)
y=sin(x−π/4)	1	Find Amplitude, Period, and Phase Shift y=sin(x-pi/4)
−75	−(5*π)/12	Convert from Degrees to Radians -75 degrees
85	(17*π)/36	Convert from Degrees to Radians 85
−150	−(5*π)/6	Convert from Degrees to Radians -150 degrees
−15	−π/12	Convert from Degrees to Radians -15
−210	−(7*π)/6	Convert from Degrees to Radians -210
320	(16*π)/9	Convert from Degrees to Radians 320
−30	−π/6	Convert from Degrees to Radians -30 degrees
260	(13*π)/9	Convert from Degrees to Radians 260
π/15	12	Convert from Radians to Degrees pi/15
(−4,−π/2)	(4,π/2)	Convert to Polar Coordinates (-4,-pi/2)
(−2,2)	see full solution →	Convert to Polar Coordinates (-2,2)
(1,−√(,3))	(2,(5*π)/3)	Convert to Polar Coordinates (1,- square root of 3)
−3*i	3(cos((3π)/2)+isin((3π)/2))	Convert to Trigonometric Form -3i
−√(,3)/3	−1/√(,3)	Evaluate -( square root of 3)/3
sin(θ)* given *(8,−15)	−15/17	Find the Sine Given the Point (8,-15)
(11*π)/6	Quadrant IV	Find the Quadrant of the Angle (11pi)/6
cos(x)	(e(ix)+e(−ix))/2	Expand Using De Moivre's Theorem cos(x)
sin(2*x)	sin(2*x)	Graph sin(2x)
y=sin(5*x)	sin(5*x)	Graph y=sin(5x)
y=sin(1/2*x)	see full solution →	Graph y=sin(1/2x)
y=tan(3*x)	see full solution →	Graph y=tan(3x)
sin(θ)* given *(9,40)	40/41	Find the Sine Given the Point (9,40)
sin(θ)* given the point *(−2,−9)	−(9√(,85))/85	Find the Sine Given the Point (-2,-9)
sin(θ)* given *(x,y)=(−3,−4)	−4/5	Find the Sine Given the Point (-3,-4)
√(3,27)	3	Evaluate cube root of 27
−2*i	2(cos((3π)/2)+isin((3π)/2))	Convert to Trigonometric Form -2i
2+2*i	2√(,2)(cos(π/4)+isin(π/4))	Convert to Trigonometric Form 2+2i
(1+i)4	4(cos(π)+isin(π))	Convert to Trigonometric Form (1+i)^4
(5*π)/6	150	Evaluate (5pi)/6
tan(22.5)	√(,2)−1	Evaluate tan(22.5)
csc(1)	csc(1)≈1.188395	Evaluate csc(1)
csc(60)	(2√(,3))/3	Evaluate csc(60 degrees )
(8*π)/9	160	Convert from Radians to Degrees (8pi)/9
(9*π)/5	324	Convert from Radians to Degrees (9pi)/5
(3*π)/8	67.5	Convert from Radians to Degrees (3pi)/8
(5*π)/7	900/7	Convert from Radians to Degrees (5pi)/7
1.5* radians	270/π≈85.94	Convert from Radians to Degrees 1.5
−300	−(5*π)/3	Convert from Degrees to Radians -300
−210	−(7*π)/6	Convert from Degrees to Radians -210 degrees
−180	−π	Convert from Degrees to Radians -180
18	π/10	Convert from Degrees to Radians 18 degrees
105	(7*π)/12	Convert from Degrees to Radians 105 degrees
130	(13*π)/18	Convert from Degrees to Radians 130 degrees
540	3*π	Convert from Degrees to Radians 540
55	(11*π)/36	Convert from Degrees to Radians 55
510	(17*π)/6	Convert from Degrees to Radians 510
y=3sin(4x)	3,Period=π/2,Phase Shift=0	Find Amplitude, Period, and Phase Shift y=3sin(4x)
y=sin(6*x)	1,Period=π/3,Phase Shift=0	Find Amplitude, Period, and Phase Shift y=sin(6x)
y=−2cos(4x+π)	see full solution →	Find Amplitude, Period, and Phase Shift y=-2cos(4x+pi)
y=sin(x+π)	1,Period=2*π,Phase Shift=−π	Find Amplitude, Period, and Phase Shift y=sin(x+pi)
sin(105)	(√(,6)+√(,2))/4	Expand Using Sum/Difference Formulas sin(105)
tan(105)	−2−√(,3)	Expand Using Sum/Difference Formulas tan(105)
tan(22.5)	√(,2)−1	Expand Using Sum/Difference Formulas tan(22.5)
−135	45	Find the Reference Angle -135
210	30	Find the Reference Angle 210 degrees
(5*π)/4	π/4	Find the Reference Angle (5pi)/4
30	30	Find the Reference Angle 30 degrees
π/4	π/4	Find the Complement pi/4
tan2(x)−sin2(x)=tan2(x)*sin2(x)	tan2(x)*sin2(x)	Verify the Identity tan(x)^2-sin(x)^2=tan(x)^2sin(x)^2
sin(x)*(cot(x)+tan(x))=sec(x)	sec(x)	Verify the Identity sin(x)(cot(x)+tan(x))=sec(x)
cos((19*π)/6)	−√(,3)/2	Find the Exact Value cos((19pi)/6)
cos(−1/2)	cos(1/2)	Find the Exact Value cos(-1/2)
arcsin(sin(π/3))	π/3	Find the Exact Value arcsin(sin(pi/3))
csc(315)	−√(,2)	Find the Exact Value csc(315 degrees )
arccos(cos(−π/4))	π/4	Find the Exact Value arccos(cos(-pi/4))
sin(2*π)	0	Find the Value Using the Unit Circle sin(2pi)
sin(3*x)	3sin(x)−4sin3(x)	Expand the Trigonometric Expression sin(3x)
tan((13*π)/6)	√(,3)/3	Find the Exact Value tan((13pi)/6)
arccot(−1)	(3*π)/4	Find the Exact Value arccot(-1)
tan(570)	√(,3)/3	Find the Exact Value tan(570)
cos(arcsin(0))	1	Find the Exact Value cos(arcsin(0))
cot(π/2)	0	Find the Exact Value cot(pi/2)
sin(−300)	√(,3)/2	Find the Exact Value sin(-300)
sin(34)	sin(34)	Find the Exact Value sin(34)
sin(18)	(√(,5)−1)/4	Find the Exact Value sin(18)
sec(330)	(2√(,3))/3	Find the Exact Value sec(330 degrees )
cos(−(2*π)/3)	−1/2	Find the Exact Value cos(-(2pi)/3)
sec(210)	−(2√(,3))/3	Find the Exact Value sec(210 degrees )
cos(600)	−1/2	Find the Exact Value cos(600)
csc((11*π)/6)	−2	Find the Exact Value csc((11pi)/6)
cos(12)	(√(,5)−1+√(,30+6√(,5)))/8	Find the Exact Value cos(12)
tan(30)	√(,3)/3	Find the Value Using the Unit Circle tan(30 degrees )
sin((5*π)/3)	−√(,3)/2	Find the Value Using the Unit Circle sin((5pi)/3)
cos(60)	1/2	Find the Value Using the Unit Circle cos(60)
cos(30)	√(,3)/2	Find the Value Using the Unit Circle cos(30 degrees )
(2*π)/9	40	Evaluate (2pi)/9
π/3	π/3	Simplify pi/3
√(,2)/√(,34)	√(,17)/17	Simplify ( square root of 2)/( square root of 34)
cos3(x)+sin2(x)*cos(x)	cos(x)	Simplify cos(x)^3+sin(x)^2cos(x)
sin(θ)/√(,1−sin2(θ))	tan(θ)	Simplify
sin(2*x)=−√(,3)/2	see full solution →	Solve for x sin(2x)=-( square root of 3)/2
1−sin(x)=1/2	π/6+2nπ,(5π)/6+2n*π	Solve for x 1-sin(x)=1/2
2*sin(x)−1=0	π/6+2kπ,(5π)/6+2k*π	Solve for x 2sin(x)-1=0
4*sin2(x)=3	π/3+πn,(2π)/3+π*n	Solve for x 4sin(x)^2=3
4*sin2(x)−3=0	π/3+nπ,(2π)/3+n*π	Solve for x 4sin(x)^2-3=0
2*cos2(x)−cos(x)=1	2nπ,(2π)/3+2nπ,(4π)/3+2nπ	Solve for x 2cos(x)^2-cos(x)=1
sec(x)=√(,2)	√(,2)⇒x=±π/4+2πn	Solve for x sec(x) = square root of 2
tan(θ)=√(,3),θ∈Quadrant I	see full solution →	Find the Other Trig Values in Quadrant I tan(theta) = square root of 3
tan(x)=3/4,x∈Quadrant I	see full solution →	Find the Other Trig Values in Quadrant I tan(x)=3/4
cos(θ)=1/2,θ∈Quadrant I	see full solution →	Find the Other Trig Values in Quadrant I cos(theta)=1/2
arccos(√(,3)/2)	π/6	Simplify arccos( square root of 3/2)
arctan(1/√(,3))	π/6	Simplify arctan(1/( square root of 3))
cos(arctan(√(,3)))	1/2	Simplify cos(arctan( square root of 3))
sin(−√(,2)/2)	−sin(√(,2)/2)	Simplify sin(-( square root of 2)/2)
csc(θ)/cot(θ)	sec(θ)	Simplify (csc(theta))/(cot(theta))
cos(π/3)	1/2	Simplify cos(pi/3)
cos(θ)+cos(θ+2π)+cos(θ+4π)	3*cos(θ)	Simplify cos(theta)+cos(theta+2pi)+cos(theta+4pi)
sec(x)/tan(x)	csc(x)	Simplify (sec(x))/(tan(x))
1/(1+cot2(x))	sin2(x)	Simplify 1/(1+cot(x)^2)
sin(a+b)	sin(a)cos(b)+cos(a)sin(b)	Simplify sin(a+b)
tan(−x)*cos(−x)	−sin(x)	Simplify tan(-x)cos(-x)
√(,2)/2/(−√(,2)/2)	−1	Simplify
tan(π/2)	undefined	Simplify tan(pi/2)
3/(2√(,2))	(3√(,2))/4	Simplify 3/(2 square root of 2)
√(,3)/2÷1/2	√(,3)	Simplify (( square root of 3)/2)÷(1/2)
√(,527)	√(,527)	Simplify square root of 527
(2√(,3))/3	(2√(,3))/3	Simplify (2 square root of 3)/3
sin(x+π/2)	cos(x)	Simplify sin(x+pi/2)
1−cos2(x)	sin2(x)	Simplify 1-cos(x)^2
csc(π/3)	(2√(,3))/3	Simplify csc(pi/3)
csc(x)/cot(x)	sec(x)	Simplify (csc(x))/(cot(x))
√(,2)	2	Simplify square root of 2^2
cot(π/4)	1	Simplify cot(pi/4)
1+tan2(θ)	sec2(θ)	Simplify 1+tan(theta)^2
√(,x)	{[x∈ℝ,x≥0]}	Find the Domain square root of x
sin(−√(,3)/2)	−sin(√(,3)/2)	Simplify sin(-( square root of 3)/2)
cos(−√(,2)/2)	cos(√(,2)/2)	Simplify cos(-( square root of 2)/2)
arctan(−1/√(,3))	−π/6	Simplify arctan(-1/( square root of 3))
arccos(−√(,3)/2)	(5*π)/6	Simplify arccos(- square root of 3/2)
arccot(√(,3)/3)	π/3	Simplify arccot(( square root of 3)/3)
sec(θ)=2,θ∈Quadrant I	see full solution →	Find the Other Trig Values in Quadrant I sec(theta)=2
−8*π	−1440	Convert from Radians to Degrees -8pi
sin(θ)=1/4,θ∈Quadrant I	see full solution →	Find the Other Trig Values in Quadrant I sin(theta)=1/4
sin(θ)=12/13,θ∈Quadrant I	see full solution →	Find the Other Trig Values in Quadrant I sin(theta)=12/13
z=3−4*i	3 - 4i	Find All Complex Number Solutions z=3-4i
cos(2*x)=−1/2	±π/3+π*k,k∈ℤ	Solve for x cos(2x)=-1/2
4*cos2(x)=1	π/3+nπ,(2π)/3+n*π	Solve for x 4cos(x)^2=1
tan(x)=−√(,3)/3	−√(,3)/3⇒x=(5π)/6+nπ	Solve for x tan(x)=-( square root of 3)/3
1=8*cos(x+1)−3	−1±π/3+2πn	Solve for x 1=8cos(x+1)-3
4*sec(x)+6=−2	(2π)/3+2nπ,(4π)/3+2nπ	Solve for x 4sec(x)+6=-2
4*cos2(x)=1	π/3+nπ,(2π)/3+n*π	Solve for x 4cos(x)^2=1
√(,3)*cot(x)+1=0	0⇒x=(2π)/3+nπ	Solve for x square root of 3cot(x)+1=0
2*sin2(x)−1=0	π/4+(nπ)/2 for any integer *n	Solve for x 2sin(x)^2-1=0
cot(x)=−1	−1⇒x=(3π)/4+nπ	Solve for x cot(x)=-1
1/(1+sin(x))−1/(1−sin(x))	−2tan(x)sec(x)	Simplify 1/(1+sin(x))-1/(1-sin(x))
sec(θ)/csc(θ)	tan(θ)	Simplify (sec(theta))/(csc(theta))
csc(x)−cot(x)	(1+cos(x))/sin(x)	Simplify csc(x)^4-cot(x)^4
(−1/2)/(−√(,3)/2)	√(,3)/3	Simplify (-1/2)/(-( square root of 3)/2)
(5*π)/3	300	Simplify (5pi)/3
1/2/(−√(,3)/2)	−√(,3)/3	Simplify (1/2)/(-( square root of 3)/2)
tan(x)+cot(x)	sec(x)*csc(x)	Simplify tan(x)+cot(x)
(sin(x)−cos(x))2	1−sin(2*x)	Simplify (sin(x)-cos(x))^2
1/cos(θ)/1/sin(θ)	tan(θ)	Simplify (1/(cos(theta)))/(1/(sin(theta)))
−1/√(,3)	−√(,3)/3	Simplify -1/( square root of 3)
tan2(x)−tan2(x)*sin2(x)	sin2(x)	Simplify tan(x)^2-tan(x)^2sin(x)^2
1/sin(θ)−1/cos(θ)	(cos(θ)−sin(θ))/(sin(θ)*cos(θ))	Simplify 1/(sin(theta))-1/(cos(theta))
sin(45)+cos(30)	5/4	Evaluate sin(45 degrees )^2+cos(30 degrees )^2
sin(π/4)	√(,2)/2	Find the Value Using the Unit Circle sin(pi/4)
tan(45)	1	Find the Value Using the Unit Circle tan(45)
cos(−1.9967)	−0.4121	Find the Value Using the Unit Circle cos(-1.9967)
cos(−1)	cos(1)	Find the Exact Value cos(-1)
cos(π/4+π/6)	(√(,6)−√(,2))/4	Find the Exact Value cos(pi/4+pi/6)
cos(36)	(1+√(,5))/4	Find the Exact Value cos(36)
cos(6*π)	1	Find the Exact Value cos(6pi)
cos(6)	cos(6)	Find the Exact Value cos(6)
cos(570)	−√(,3)/2	Find the Exact Value cos(570)
cos(510)	−√(,3)/2	Find the Exact Value cos(510)
csc((7*π)/3)	(2√(,3))/3	Find the Exact Value csc((7pi)/3)
csc(−π/2)	−1	Find the Exact Value csc(-pi/2)
tan(−30)	−√(,3)/3	Find the Exact Value tan(-30 degrees )
sin((13*π)/4)	−√(,2)/2	Find the Exact Value sin((13pi)/4)
sec((11*π)/4)	−√(,2)	Find the Exact Value sec((11pi)/4)
csc(660)	−(2√(,3))/3	Find the Exact Value csc(660)
sin(−π/4)	−√(,2)/2	Find the Exact Value sin(-pi/4)
sin(100)	sin(80)	Find the Exact Value sin(100)
cos(270)	0	Find the Exact Value cos(270 degrees )
tan(180)	0	Find the Exact Value tan(180)
tan(3)	tan(3)	Find the Exact Value tan(3)
tan((11*π)/4)	−1	Find the Exact Value tan((11pi)/4)
tan((19*π)/6)	√(,3)/3	Find the Exact Value tan((19pi)/6)
tan((5*π)/3−π/4)	2+√(,3)	Find the Exact Value tan((5pi)/3-pi/4)
sin(−π/6)	−1/2	Find the Exact Value sin(-pi/6)
sin(42)	(√(,3)√(,10+2√(,5))−(√(,5)−1))/8	Find the Exact Value sin(42)
sin(58)	sin(58)	Find the Exact Value sin(58)
tan(π/2)	Undefined	Find the Value Using the Unit Circle tan(pi/2)
tan(2*π)	0	Find the Value Using the Unit Circle tan(2pi)
arctan(−1)	−π/4	Find the Value Using the Unit Circle arctan(-1)
cos(3*x)	4cos3(x)−3cos(x)	Expand the Trigonometric Expression cos(3x)
tan(0)	0	Find the Exact Value tan(0 degrees )
cot(225)	1	Find the Exact Value cot(225 degrees )
tan(x)+cos(x)/(1+sin(x))=1/cos(x)	1/cos(x)	Verify the Identity tan(x)+(cos(x))/(1+sin(x))=1/(cos(x))
tan(x)/sec(x)=sin(x)	sin(x)	Verify the Identity (tan(x))/(sec(x))=sin(x)
cot(x)+tan(x)=sec(x)*csc(x)	sec(x)*csc(x)	Verify the Identity cot(x)+tan(x)=sec(x)csc(x)
cos(x)*csc(x)=cot(x)	cot(x)	Verify the Identity cos(x)csc(x)=cot(x)
cos(x)*tan(x)=sin(x)	sin(x)	Verify the Identity cos(x)tan(x)=sin(x)
330	30	Find the Reference Angle 330
−120	60	Find the Reference Angle -120 degrees
sin((7*π)/12)	(√(,2)+√(,6))/4	Expand Using Sum/Difference Formulas sin((7pi)/12)
y=tan(x+π/2)	see full solution →	Find Amplitude, Period, and Phase Shift y=tan(x+pi/2)
cos(195)	(−√(,6)−√(,2))/4	Expand Using Sum/Difference Formulas cos(195)
360	2*π	Convert from Degrees to Radians 360 degrees
39	(13*π)/60	Convert from Degrees to Radians 39
600	(10*π)/3	Convert from Degrees to Radians 600
−120	−(2*π)/3	Convert from Degrees to Radians -120 degrees
110	(11*π)/18	Convert from Degrees to Radians 110 degrees
160	(8*π)/9	Convert from Degrees to Radians 160 degrees
sin(−45)	−√(,2)/2	Evaluate sin(-45 degrees )
−270	−(3*π)/2	Convert from Degrees to Radians -270 degrees
280	(14*π)/9	Convert from Degrees to Radians 280
ƒ(x)=3*sin(x)	3,Period=2*π,Phase Shift=0	Find Amplitude, Period, and Phase Shift f(x)=3sin(x)
−4*π	−720	Convert from Radians to Degrees -4p
(19*π)/6	570	Convert from Radians to Degrees (19pi)/6
(10*π)/9	200	Convert from Radians to Degrees (10pi)/9
(5*π)/6	150	Convert from Radians to Degrees (5p)/6
(17*π)/6	510	Convert from Radians to Degrees (17pi)/6
(7*π)/9	140	Convert from Radians to Degrees (7pi)/9
−10*π	−1800	Convert from Radians to Degrees -10pi
(−4,−4)	see full solution →	Convert to Polar Coordinates (-4,-4)
(2,π)	see full solution →	Convert to Polar Coordinates (2,pi)
cos(−45)	√(,2)/2	Evaluate cos(-45 degrees )
arctan(1)	π/4	Evaluate arctan(1)
cot(30)	√(,3)	Evaluate cot(30 degrees )
π−π/4	(3*π)/4	Evaluate pi-pi/4
(tan(45)+tan(60))2	4+2√(,3)	Evaluate (tan(45 degrees )+tan(60 degrees ))^2
2−2*i	2√(,2)(cos((7π)/4)+isin((7π)/4))	Convert to Trigonometric Form 2-2i
−5*i	5(cos((3π)/2)+isin((3π)/2))	Convert to Trigonometric Form -5i
√(,49)	7	Evaluate square root of 49
sin(θ)* given *(5,12)	12/13	Find the Sine Given the Point (5,12)
(−7,24)	−24/7	Find the Tangent Given the Point (-7,24)
cos(θ)* given the point *(3,4)	3/5	Find the Cosine Given the Point (3,4)
y=−cot(x)	−cot(x)	Graph y=-cot(x)
y=tan(x/2)	see full solution →	Graph y=tan(x/2)
y=csc(2*x)	csc(2*x)	Graph y=csc(2x)
y=cos(x+3)	cos(x+3)	Graph y=cos(x+3)
y=4sin(2x)	4sin(2x)	Graph y=4sin(2x)
y=cos(5*x)	cos(5*x)	Graph y=cos(5x)
y=sin(x−π)	sin(x−π)	Graph y=sin(x-pi)
(5*π)/6	(5*π)/6∈Quadrant II	Find the Quadrant of the Angle (5pi)/6
(−12,5)	−5/12	Find the Tangent Given the Point (-12,5)
sin(θ)* given the point *(−5,12)	12/13	Find the Sine Given the Point (-5,12)
sin(θ)* given *(x,y)=(3,−4)	−4/5	Find the Sine Given the Point (3,-4)
3*i	3(cos(π/2)+isin(π/2))	Convert to Trigonometric Form 3i
cos((5*π)/3)	1/2	Evaluate cos((5pi)/3)
cos(1/2)	cos(1/2)≈0.87758256	Evaluate cos(1/2)
(−3√(,3),3)	see full solution →	Convert to Polar Coordinates (-3 square root of 3,3)
(log_)((3*x2)/12)	(log_)((x2)/4)	Simplify/Condense log of (3x^2)/12
(11*π)/9	220	Convert from Radians to Degrees (11pi)/9
π/6	30	Convert from Degrees to Radians pi/6
0	0	Convert from Degrees to Radians 0 degrees
68	(17*π)/45	Convert from Degrees to Radians 68 degrees
(16*π)/3	960	Convert from Radians to Degrees (16pi)/3
255	(17*π)/12	Convert from Degrees to Radians 255
220	(11*π)/9	Convert from Degrees to Radians 220
170	(17*π)/18	Convert from Degrees to Radians 170
−60	−π/3	Convert from Degrees to Radians -60 degrees
405	(9*π)/4	Convert from Degrees to Radians 405
−45	−π/4	Convert from Degrees to Radians -45 degrees
ƒ(x)=sin(3x−2π)	see full solution →	Find Amplitude, Period, and Phase Shift f(x)=sin(3x-2pi)
cos(105)	(√(,2)−√(,6))/4	Expand Using Sum/Difference Formulas cos(105)
sin((13*π)/12)	(√(,2)−√(,6))/4	Expand Using Sum/Difference Formulas sin((13pi)/12)
y=sin(5*x)	1,Period=(2*π)/5,Phase Shift=0	Find Amplitude, Period, and Phase Shift y=sin(5x)
(7*π)/3	π/3	Find the Reference Angle (7pi)/3
tan(π/12)	2−√(,3)	Expand Using Sum/Difference Formulas tan(pi/12)
135	45	Find the Reference Angle 135
30	30	Find the Reference Angle 30
2	{x∈U:x≠2}	Find the Complement 2
cos2(x)*(1+tan2(x))=1	1	Verify the Identity cos(x)^2(1+tan(x)^2)=1
(1+cos(x))/sin(x)+sin(x)/(1+cos(x))=2*csc(x)	2*csc(x)	Verify the Identity
(1+sin(x))/cos(x)+cos(x)/(1+sin(x))=2*sec(x)	2*sec(x)	Verify the Identity
cos(x+π/2)=−sin(x)	−sin(x)	Verify the Identity cos(x+pi/2)=-sin(x)
csc(x)*cos(x)=cot(x)	cot(x)	Verify the Identity csc(x)*cos(x)=cot(x)
tan2(x)+1=sec2(x)	sec2(x)	Verify the Identity tan(x)^2+1=sec(x)^2
sin(x)/(1−cos(x))+sin(x)/(1+cos(x))=2*csc(x)	2*csc(x)	Verify the Identity
cos(x)−sin(x)=2*cos(x)−1	2*cos(x)−1	Verify the Identity cos(x)^2-sin(x)^2=2cos(x)^2-1
tan(x)*sin(x)+cos(x)=sec(x)	sec(x)	Verify the Identity tan(x)sin(x)+cos(x)=sec(x)
sec(x)−sin(x)*tan(x)=cos(x)	cos(x)	Verify the Identity sec(x)-sin(x)tan(x)=cos(x)
arctan(4/3)	arctan(4/3)	Find the Exact Value arctan(4/3)
cos((11*π)/3)	1/2	Find the Exact Value cos((11pi)/3)
csc(−π/6)	−2	Find the Exact Value csc(-pi/6)
sin4(x)	3/8−1/2cos(2x)+1/8cos(4x)	Expand the Trigonometric Expression sin(x)^4
cos((5*π)/3)	1/2	Find the Value Using the Unit Circle cos((5pi)/3)
sin(64)	sin(64)	Find the Exact Value sin(64)
sin(600)	−√(,3)/2	Find the Exact Value sin(600)
sin(7)	sin(7)	Find the Exact Value sin(7)
sin(72)	√(,10+2√(,5))/4	Find the Exact Value sin(72)
sin(450)	1	Find the Exact Value sin(450)
sin(8)	sin(8)	Find the Exact Value sin(8)
tan(4/3)	tan(4/3)	Find the Exact Value tan(4/3)
tan((14*π)/3)	−√(,3)	Find the Exact Value tan((14pi)/3)
csc(90)	1	Find the Exact Value csc(90)
tan(24)	see full solution →	Find the Exact Value tan(24)
cos(75)	(√(,6)−√(,2))/4	Find the Exact Value cos(75 degrees )
tan(42)	see full solution →	Find the Exact Value tan(42)
tan(39)	tan(39)	Find the Exact Value tan(39)
tan(48)	tan(48)	Find the Exact Value tan(48)
arccos(√(,3)/2)	π/6	Find the Exact Value arccos(( square root of 3)/2)
cot((5*π)/4)	1	Find the Exact Value cot((5pi)/4)
sin(π/9)	sin(π/9)	Find the Exact Value sin(pi/9)
sin((9*π)/2)	1	Find the Exact Value sin((9pi)/2)
sin(27)	(2√(,5+√(,5))−√(,10)+√(,2))/8	Find the Exact Value sin(27)
tan(−150)	√(,3)/3	Find the Exact Value tan(-150 degrees )
csc(−90)	−1	Find the Exact Value csc(-90)
sin(−90)	−1	Find the Exact Value sin(-90 degrees )
sin(2/3)	sin(2/3)	Find the Exact Value sin(2/3)
csc(330)	−2	Find the Exact Value csc(330)
sec(5)	1/cos(5)	Find the Exact Value sec(5)
cot(−240)	−√(,3)/3	Find the Exact Value cot(-240 degrees )
tan(−60)	−√(,3)	Find the Exact Value tan(-60 degrees )
csc(3*π)	undefined	Find the Exact Value csc(3pi)
cot(−π/4)	−1	Find the Exact Value cot((-pi)/4)
cos((17*π)/6)	−√(,3)/2	Find the Exact Value cos((17pi)/6)
cos((7*π)/12)	(√(,2)−√(,6))/4	Find the Exact Value cos((7pi)/12)
cos(4)	cos(4)	Find the Exact Value cos(4)
tan(405)	1	Find the Exact Value tan(405)
sin(−225)	√(,2)/2	Find the Exact Value sin(-225 degrees )
cos(3)	cos(3)	Find the Exact Value cos(3)
tan(225)	1	Find the Exact Value tan(225)
sin(1/2)	sin(1/2)≈0.4794255386	Find the Value Using the Unit Circle sin(1/2)
tan(60)	√(,3)	Find the Value Using the Unit Circle tan(60)
sin(90)	1	Find the Value Using the Unit Circle sin(90)
−(5*π)/4	(3*π)/4	Evaluate -(5pi)/4
π/6+π	(7*π)/6	Evaluate pi/6+pi
π/2+π/2	π	Evaluate pi/2+pi/2
csc(30)	2	Evaluate csc(30 degrees )
√(,3)/√(,67)	√(,201)/67	Simplify ( square root of 3)/( square root of 67)
tan(θ)−sec(θ)	(sin(θ)−1)/cos(θ)	Simplify tan(theta)-sec(theta)
√(,313)	√(,313)	Simplify square root of 313
tan(x)/sec(x)	sin(x)	Simplify (tan(x))/(sec(x))
1/cos2(x)−1/cot2(x)	1	Simplify 1/(cos(x)^2)-1/(cot(x)^2)
√(,((1−cos(θ))*(1+cos(θ)))/cos2(θ))	tan(θ)	Simplify square root of (1-cos(theta))(1+cos(theta))/(cos^2(theta))
cot(x)=0	0⇒x=π/2+n*π,n∈ℤ	Solve for x cot(x)=0
cot(x)=√(,3)/3	see full solution →	Solve for x cot(x)=( square root of 3)/3
cos(2*x−π/2)=1	1⇒x=n*π+π/4	Solve for x cos(2x-pi/2)=1
sin(x)=3/4	see full solution →	Solve for x sin(x)=3/4
2*cos(x)+1=0	(2π)/3+2kπ,(4π)/3+2kπ	Solve for x 2cos(x)+1=0
x=(2*π)/3	(2*π)/3	Solve for x x=(2pi)/3
x=(7*π)/6	(7*π)/6=210	Solve for x x=(7pi)/6
x=(7*π)/4	(7*π)/4=315	Solve for x x=(7pi)/4
x=π/2	90	Solve for x x=pi/2
2*sin2(x)+sin(x)=1	see full solution →	Solve for x 2sin(x)^2+sin(x)=1
4*sin2(x)=1	π/6+nπ,(5π)/6+n*π	Solve for x 4sin(x)^2=1
2*sin(x)=1	π/6+2nπ,(5π)/6+2n*π	Solve for x 2sin(x)=1
15arcsin(x)=5π	√(,3)/2	Solve for x 15arcsin(x)=5pi
ln(x−6)+ln(x−5)=ln(16−2*x)	ln(16−2*x)⇒x=7	Solve for x
sin(x)+2sin(x)cos(x)=0	nπ,(2π)/3+2nπ,(4π)/3+2n*π	Solve for x sin(x)+2sin(x)cos(x)=0
sin(x)=2	see full solution →	Solve for x sin(x)=2
sin(x)=3/5	see full solution →	Solve for x sin(x)=3/5
cos(θ)=−3/5,θ∈Quadrant III	see full solution →	Find the Other Trig Values in Quadrant III cos(theta)=-3/5
cos(x)=−5/13, Quadrant II	see full solution →	Find the Other Trig Values in Quadrant II cos(x)=-5/13
sin(arctan(−√(,3)))	−√(,3)/2	Simplify sin(arctan(- square root of 3))
(−3)/√(,3)	−√(,3)	Simplify -3/( square root of 3)
(2√(,3))/√(,3)	2	Simplify (2 square root of 3)/( square root of 3)
(sin(θ)−cos(θ))−(sin(θ)+cos(θ))2	sin(θ)−cos(θ)−2sin(θ)cos(θ)−1	Simplify
sin(θ)+sin(θ+2π)+sin(θ+4π)	3*sin(θ)	Simplify sin(theta)+sin(theta+2pi)+sin(theta+4pi)
sec2(θ)−tan2(θ)	1	Simplify sec(theta)^2-tan(theta)^2
cos(π/12)	(√(,6)+√(,2))/4	Simplify cos(pi/12)
(2*π)/π/2	4	Simplify (2pi)/(pi/2)
1/cos(θ)−cos(θ)	tan(θ)*sin(θ)	Simplify 1/(cos(theta))-cos(theta)
cot(arctan(x))	1/x	Simplify cot(arctan(x))
cos(2θ)−sin(2θ)	cos(4*θ)	Simplify cos(2theta)^2-sin(2theta)^2
sin((7*π)/4)	−√(,2)/2	Simplify sin((7pi)/4)
sin(π/12)	(√(,6)−√(,2))/4	Simplify sin(pi/12)
csc(t)/sec(t)	cot(t)	Simplify (csc(t))/(sec(t))
(sin3(θ)+cos3(θ))/(sin(θ)+cos(θ))	1−sin(θ)*cos(θ)	Simplify
√(,143)	√(,143)	Simplify square root of 143
√(,850)	5√(,34)	Simplify square root of 850
tan(π)	0	Simplify tan(pi)
sin(t+2*π)	sin(t)	Simplify sin(t+2pi)
tan((3*π)/4)	−1	Simplify tan((3pi)/4)
√(,35/36)	√(,35)/6	Simplify square root of 35/36
sin(x+y)	sin(x)cos(y)+cos(x)sin(y)	Simplify sin(x+y)
sin((3*π)/4)	√(,2)/2	Simplify sin((3pi)/4)
csc(θ)−sin(θ)	cot(θ)*cos(θ)	Simplify csc(theta)-sin(theta)
cot(π/2−θ)	tan(θ)	Simplify cot(pi/2-theta)
csc2(θ)−cot2(θ)	1	Simplify csc(theta)^2-cot(theta)^2
sec(2*x)	1/(cos2(x)−sin2(x))	Simplify sec(2x)
√(,507)	13√(,3)	Simplify square root of 507
1/4/√(,15)/4	√(,15)/15	Simplify (1/4)/(( square root of 15)/4)
(−4−1)2+(15−10)2	50	Simplify (-4-1)^2+(15-10)^2
√(,3)/√(,22)	√(,66)/22	Simplify ( square root of 3)/( square root of 22)
cot(π/3)	√(,3)/3	Simplify cot(pi/3)
sin(2*π)	0	Evaluate sin(2pi)
cos(150)	−√(,3)/2	Evaluate cos(150 degrees )
y=3*sin(x)	Domain: *(−∞,∞)	Find the Domain y=3sin(x)
tan(arcsin(√(,3)/2))	√(,3)	Simplify tan(arcsin(( square root of 3)/2))
tan(−√(,3)/3)	tan(−√(,3)/3)	Simplify tan(-( square root of 3)/3)
cos(−√(,3)/2)	cos(√(,3)/2)	Simplify cos(-( square root of 3)/2)
arccos(−√(,2)/2)	(3*π)/4	Simplify arccos((- square root of 2)/2)
cos(θ)=4/5,θ∈Quadrant I	see full solution →	Find the Other Trig Values in Quadrant I cos(theta)=4/5
tan(θ)=1,θ∈Quadrant I	see full solution →	Find the Other Trig Values in Quadrant I tan(theta)=1
z=2−2*i	see full solution →	Find All Complex Number Solutions z=2-2i
sec(x)=−2	see full solution →	Solve for x sec(x)=-2
x(tan(44)−tan(28))=470tan(28)	(470*tan(28))/(tan(44)−tan(28))	Solve for x x(tan(44)-tan(28))=470tan(28)
3sin(x)−2cos(x)=1	see full solution →	Solve for x 3sin(x)-2cos(x)=1
cos(2*x)+cos(x)=0	0⇒x=π(2n+1),x=±π/3+2nπ	Solve for x cos(2x)+cos(x)=0
cot(x)=1	1⇒x=π/4+n*π,n∈ℤ	Solve for x cot(x)=1
cos(2x)+√(,2)sin(x)=1	see full solution →	Solve for x cos(2x)+ square root of 2sin(x)=1
y=√(,3*x)	(y2)/3	Solve for x y = square root of 3x
cos(2*x)−sin(x)=1	see full solution →	Solve for x cos(2x)-sin(x)=1
cos(x)−cos(x)=0	0⇒x=π/2+nπ,2n*π	Solve for x cos(x)^2-cos(x)=0
x=(5*π)/6	(5*π)/6=150	Solve for x x=(5pi)/6
1+sin(x)=2*cos(x)	see full solution →	Solve for x 1+sin(x)=2cos(x)^2
sec(x)=√(,2)	see full solution →	Solve for x sec(x) = square root of 2
sec(x)=−√(,2)	see full solution →	Solve for x sec(x)=- square root of 2
tan(x)=2	2⇒x=arctan(2)+n*π,n∈ℤ	Solve for x tan(x)=2
cos2(x)/(1−sin(x))	1+sin(x)	Simplify (cos(x)^2)/(1-sin(x))
arccos(0)	π/2	Simplify arccos(0)
csc2(x)−1	cot2(x)	Simplify csc(x)^2-1
sin(x)/cos(x)+cos(x)/(1+sin(x))	sec(x)	Simplify (sin(x))/(cos(x))+(cos(x))/(1+sin(x))
sin2(x)*cos2(x)	(1−cos(4*x))/8	Simplify sin(x)^2cos(x)^2
(sec(x)−cos(x))/tan(x)	sin(x)	Simplify (sec(x)-cos(x))/(tan(x))
tan2(x)−sin2(x)	tan2(x)*sin2(x)	Simplify tan(x)^2-sin(x)^2
tan4(x)+2*tan2(x)+1	sec4(x)	Simplify tan(x)^4+2tan(x)^2+1
(1+cos(x))*(1−cos(x))	sin2(x)	Simplify (1+cos(x))(1-cos(x))
−13*π	−2340	Convert from Radians to Degrees -13pi
cot(−120)	√(,3)/3	Find the Exact Value cot(-120 degrees )
y=sin(3x−2π)	(nπ+(−1)narcsin(y))/3	Solve for x y=sin(3x-2pi)
(2*p)/3	2/3*p	Evaluate (2p)/3
√(,2)/4+√(,6)/4	(√(,2)+√(,6))/4	Evaluate
cot(270)	0	Evaluate cot(270 degrees )
π/4+π/4	π/2	Evaluate pi/4+pi/4
π/4+2*π	(9*π)/4	Evaluate pi/4+2pi
π/10	18≈0.314159	Evaluate pi/10
arcsin(−1/2)	−π/6	Evaluate arcsin(-1/2)
tan(60)	√(,3)	Find the Value Using the Unit Circle tan(60 degrees )
sin(75)	(√(,6)+√(,2))/4	Find the Value Using the Unit Circle sin(75)
sin(150)	1/2	Find the Value Using the Unit Circle sin(150)
sin(20)	sin(20)≈0.3420	Find the Value Using the Unit Circle sin(20)
cos(−π/4)	√(,2)/2	Find the Exact Value cos((-pi)/4)
arccot(−√(,3))	(5*π)/6	Find the Exact Value arccot(- square root of 3)
cos(61)	cos(61)	Find the Exact Value cos(61)
cos(80)	cos(80)	Find the Exact Value cos(80)
cos(55)	cos(55)	Find the Exact Value cos(55)
cos(450)	0	Find the Exact Value cos(450)
cot(π/7)	see full solution →	Find the Exact Value cot(pi/7)
sin(−300)	√(,3)/2	Find the Exact Value sin(-300 degrees )
cot((13*π)/4)	1	Find the Exact Value cot((13pi)/4)
sec(−60)	2	Find the Exact Value sec(-60 degrees )
cot(540)	undefined	Find the Exact Value cot(540)
sin(180)	0	Find the Exact Value sin(180 degrees )
sec(−π/4)	√(,2)	Find the Exact Value sec(-pi/4)
sec((23*π)/6)	(2√(,3))/3	Find the Exact Value sec((23pi)/6)
tan(−(2*π)/3)	√(,3)	Find the Exact Value tan(-(2pi)/3)
csc(240)	−(2√(,3))/3	Find the Exact Value csc(240)
sin(32)	sin(32)	Find the Exact Value sin(32)
sin(−(2*π)/3)	−√(,3)/2	Find the Exact Value sin(-(2pi)/3)
sin(−π/8)	−√(,2−√(,2))/2	Find the Exact Value sin(-pi/8)
cot(90)	0	Find the Exact Value cot(90 degrees )
sin(3/4)	sin(3/4)	Find the Exact Value sin(3/4)
tan(37)	tan(37)	Find the Exact Value tan(37)
tan(3*π)	0	Find the Exact Value tan(3pi)
tan(7*π)	0	Find the Exact Value tan(7pi)
tan(12)	√(,5+2√(,5))−√(,3)−1	Find the Exact Value tan(12)
tan(−120)	√(,3)	Find the Exact Value tan(-120 degrees )
csc(135)	√(,2)	Find the Exact Value csc(135)
tan(21*π)	0	Find the Exact Value tan(21pi)
tan((7*π)/3)	√(,3)	Find the Exact Value tan((7pi)/3)
sin(−π/2)	−1	Find the Exact Value sin(-pi/2)
cos(0)	1	Find the Value Using the Unit Circle cos(0)
arcsin(−1)	−π/2	Find the Value Using the Unit Circle arcsin(-1)
cos(1/2)	cos(1/2)≈0.8776	Find the Value Using the Unit Circle cos(1/2)
sin(π/2)	1	Find the Value Using the Unit Circle sin(pi/2)
sin(4*x)	4sin(x)cos3(x)−4sin3(x)cos(x)	Expand the Trigonometric Expression sin(4x)
cos(x)	3/8+1/2cos(2x)+1/8cos(4x)	Expand the Trigonometric Expression cos(x)^4
π/2	π/2	Expand the Trigonometric Expression pi/2
arcsin(sin((5*π)/4))	−π/4	Find the Exact Value arcsin(sin((5pi)/4))
cos(105)	(√(,2)−√(,6))/4	Find the Exact Value cos(105 degrees )
cot((25*π)/2)	0	Find the Exact Value cot((25pi)/2)
cos(1/3)	cos(1/3)	Find the Exact Value cos(1/3)
sin(0)	0	Find the Exact Value sin(0 degrees )
csc(x)−csc(x)*cos2(x)=sin(x)	sin(x)	Verify the Identity csc(x)-csc(x)cos(x)^2=sin(x)
sin(2*x)=cos(x)	cos(x)* is not an identity	Verify the Identity sin(2x)=cos(x)
sec(x)/cos(x)−tan(x)/cot(x)=1	1	Verify the Identity (sec(x))/(cos(x))-(tan(x))/(cot(x))=1
cot(x−π/2)=−tan(x)	−tan(x)	Verify the Identity cot(x-pi/2)=-tan(x)
cos(x)/(1+sin(x))=sec(x)−tan(x)	sec(x)−tan(x)	Verify the Identity (cos(x))/(1+sin(x))=sec(x)-tan(x)
60	60	Find the Reference Angle 60 degrees
315	45	Find the Reference Angle 315
45	45	Find the Reference Angle 45
135	45	Find the Reference Angle 135 degrees
(8*π)/3	π/3	Find the Reference Angle (8pi)/3
(23*π)/6	π/6	Find the Reference Angle (23pi)/6
(13*π)/4	π/4	Find the Reference Angle (13pi)/4
y=sin(x−π/2)	1,Period=2*π,Phase Shift=π/2	Find Amplitude, Period, and Phase Shift y=sin(x-pi/2)
y=−5*sin(x)	5,Period=2*π,Phase Shift=0	Find Amplitude, Period, and Phase Shift y=-5sin(x)
y=−7*cos(x)	7,Period=2*π,Phase Shift=0	Find Amplitude, Period, and Phase Shift y=-7cos(x)
480	(8*π)/3	Convert from Degrees to Radians 480 degrees
−240	−(4*π)/3	Convert from Degrees to Radians -240 degrees
86	(43*π)/90	Convert from Degrees to Radians 86 degrees
95	(19*π)/36	Convert from Degrees to Radians 95
(13*π)/4	585	Convert from Radians to Degrees (13pi)/4
(2*π)/3	120	Convert from Radians to Degrees (2p)/3
(8*π)/5	288	Convert from Radians to Degrees (8pi)/5
(−3,3)	(3√(,2),(3*π)/4)	Convert to Polar Coordinates (-3,3)
(4,0)	(4,0)⇒(4,0)	Convert to Polar Coordinates (4,0)
(−11,11)	see full solution →	Convert to Polar Coordinates (-11,11)
sin(−60)	−√(,3)/2	Evaluate sin(-60 degrees )
(log_)(10)	1	Simplify/Condense log of 10
tan(405)	1	Evaluate tan(405 degrees )
sec(30)	(2√(,3))/3	Evaluate sec(30)
1+i√(,3)	2(cos(π/3)+isin(π/3))	Convert to Trigonometric Form 1+i square root of 3
i2	cos(π)+i*sin(π)	Convert to Trigonometric Form i^2
(−√(,3)/2)/(−1/2)	√(,3)	Evaluate (-( square root of 3)/2)/(-1/2)
Find sin(θ) given the point *(−12,5)	5/13	Find the Sine Given the Point (-12,5)
Find the Tangent Given the Point *(3,−4)	3/4*x−25/4	Find the Tangent Given the Point (3,-4)
(5*π)/3	(5*π)/3∈Quadrant IV	Find the Quadrant of the Angle (5pi)/3
y=−sin(x)	−sin(x)	Graph y=-sin(x)
y=cos(−x)	cos(x)	Graph y=cos(-x)
sin(θ)<0	π+2πk<θ<2π+2π*k,k∈ℤ	Graph sin(theta)<0
y=2*cot(x)	2*cot(x)	Graph y=2cot(x)
y=4*cot(x)	4*cot(x)	Graph y=4cot(x)
y=3sin(3x)	3sin(3x)	Graph y=3sin(3x)
y=sin(x)+3	sin(x)+3	Graph y=sin(x)+3
y=−4*cos(x)	−4*cos(x)	Graph y=-4cos(x)
y=2*csc(x)	2*csc(x)	Graph y=2csc(x)
tan(x)<0,sin(x)<0	see full solution →	Solve the System of @WORD tan(x)<0 , sin(x)<0
y=1/4*sin(x)	1/4*sin(x)	Graph y=1/4*sin(x)
y=4cos(2x)	4cos(2x)	Graph y=4cos(2x)
y=−5*sin(x)	−5*sin(x)	Graph y=-5sin(x)
y=cos(6*x)	see full solution →	Graph y=cos(6x)
y=cos(x)+2	cos(x)+2	Graph y=cos(x)+2
y=sin(x+3)	sin(x+3)	Graph y=sin(x+3)
r=4*cos(θ)	see full solution →	Graph r=4cos(x)
−(2*π)/3	The angle −(2π)/3 is in Quadrant III	Find the Quadrant of the Angle -(2pi)/3
−(5*π)/6	Quadrant III	Find the Quadrant of the Angle -(5pi)/6
−π/6	Quadrant IV	Find the Quadrant of the Angle -pi/6
−π/3	Quadrant IV	Find the Quadrant of the Angle -pi/3
x2+y2=100,(6,8)	−3/4*x+25/2	Find the Tangent Given the Point (6,8)
(5,−12)	−12/5	Find the Tangent Given the Point (5,-12)
(11*π)/4	(11*π)/4∈Quadrant II	Find the Quadrant of the Angle (11pi)/4
cos(θ)* given *(x,y)=(9,40)	9/41	Find the Cosine Given the Point (9,40)
sin(θ)* given *(x,y)=(12,5)	5/13	Find the Sine Given the Point (12,5)
sin(θ)* given *(x,y)=(3,4)	4/5	Find the Sine Given the Point (3,4)
cos(θ)* given the point *(−12,5)	−12/13	Find the Cosine Given the Point (-12,5)
(3−i)3	18 - 26i	Expand Using De Moivre's Theorem (3-i)^3
(√(,2)−√(,2))/2	0	Evaluate ( square root of 2- square root of 2)/2
√(,3)−i	2(cos((11π)/6)+isin((11π)/6))	Convert to Trigonometric Form square root of 3-i
−2+2*i	2√(,2)(cos((3π)/4)+isin((3π)/4))	Convert to Trigonometric Form -2+2i
sec(π/3)	2	Evaluate sec(pi/3)
sin(3/5)	sin(3/5)≈0.564642473	Evaluate sin(3/5)
cos(12/13)	cos(12/13)≈0.60328	Evaluate cos(12/13)
(−4,4)	(4√(,2),(3*π)/4)	Convert to Polar Coordinates (-4,4)
(2*π)/7	360/7∘	Convert from Radians to Degrees (2pi)/7
(6*π)/5	216	Convert from Radians to Degrees (6pi)/5
−12*π	−2160	Convert from Radians to Degrees -12pi
−15*π	−2700	Convert from Radians to Degrees -15pi
(3*π)/2	270	Convert from Radians to Degrees (3p)/2
(11*π)/6	330	Convert from Radians to Degrees (11p)/6
(5*π)/4	225	Convert from Radians to Degrees (5p)/4
6*π	1080	Convert from Radians to Degrees 6p
(5*π)/3	(5π)/3 radians	Convert from Degrees to Radians (5pi)/3
(5*π)/6	150	Convert from Degrees to Radians (5pi)/6
−(9*π)/4	−405	Convert from Radians to Degrees -(9pi)/4
1.8* radians	324/π≈103.13	Convert from Radians to Degrees 1.8
x3+3x2+2x+6	(x+3)*(x2+2)	Factor by Grouping cos(x)
y=6*sin(x)	6,Period=2*π,Phase Shift=0	Find Amplitude, Period, and Phase Shift y=6sin(x)
−315	−(7*π)/4	Convert from Degrees to Radians -315 degrees
−300	−(5*π)/3	Convert from Degrees to Radians -300 degrees
145	(29*π)/36	Convert from Degrees to Radians 145
125	(25*π)/36	Convert from Degrees to Radians 125 degrees
48	(4*π)/15	Convert from Degrees to Radians 48
480	(8*π)/3	Convert from Degrees to Radians 480
50	(5*π)/18	Convert from Degrees to Radians 50 degrees
46	(23*π)/90	Convert from Degrees to Radians 46
−40	−(2*π)/9	Convert from Degrees to Radians -40
−36	−π/5	Convert from Degrees to Radians -36
570	(19*π)/6	Convert from Degrees to Radians 570 degrees
65	(13*π)/36	Convert from Degrees to Radians 65
630	(7*π)/2	Convert from Degrees to Radians 630
69	(23*π)/60	Convert from Degrees to Radians 69
87	(29*π)/60	Convert from Degrees to Radians 87
70	(7*π)/18	Convert from Degrees to Radians 70 degrees
y=cos(x−π/2)	1,Period=2*π,Phase Shift=π/2	Find Amplitude, Period, and Phase Shift y=cos(x-pi/2)
y=−2cos(πx−3)	2,Period=2,Phase Shift=3/π	Find Amplitude, Period, and Phase Shift y=-2cos(pix-3)
y=3sin(2x)	3,Period=π,Phase Shift=0	Find Amplitude, Period, and Phase Shift y=3sin(2x)
y=cot(x)	see full solution →	Find Amplitude, Period, and Phase Shift y=cot(x)
y=sin(x)+2	1,Period=2*π,Phase Shift=0	Find Amplitude, Period, and Phase Shift y=sin(x)+2
y=sin(2*x+π/2)	1,Period=π,Phase Shift=−π/4	Find Amplitude, Period, and Phase Shift y=sin(2x+pi/2)
y=−2*cos(x)	2,Period=2*π,Phase Shift=0	Find Amplitude, Period, and Phase Shift y=-2cos(x)
cos(15)	(√(,6)+√(,2))/4	Expand Using Sum/Difference Formulas cos(15)
cos(285)	(√(,6)−√(,2))/4	Expand Using Sum/Difference Formulas cos(285)
(11*π)/8	(3*π)/8	Find the Reference Angle (11pi)/8
(5*π)/7	(2*π)/7	Find the Reference Angle (5pi)/7
−(3*π)/4	π/4	Find the Reference Angle -(3pi)/4
(19*π)/6	π/6	Find the Reference Angle (19pi)/6
−(5*π)/4	π/4	Find the Reference Angle -(5pi)/4
tan(165)	√(,3)−2	Expand Using Sum/Difference Formulas tan(165)
225	45	Find the Reference Angle 225
45	45	Find the Reference Angle 45 degrees
(sec(x)−tan(x))2=(1−sin(x))/(1+sin(x))	(1−sin(x))/(1+sin(x))	Verify the Identity (sec(x)-tan(x))^2=(1-sin(x))/(1+sin(x))
cot(−x)*sin(x)=−cos(x)	−cos(x)	Verify the Identity cot(-x)sin(x)=-cos(x)
1+cot2(x)=csc2(x)	csc2(x)	Verify the Identity 1+cot(x)^2=csc(x)^2
sin2(x)+cos2(x)=1	1	Verify the Identity sin(x)^2+cos(x)^2=1
sin(2*x)=sin(x)	sin(x)* is a conditional equation, not an identity.	Verify the Identity sin(2x)=sin(x)
csc(x)−cos(x)*cot(x)=sin(x)	sin(x)	Verify the Identity csc(x)-cos(x)cot(x)=sin(x)
sin(x)*cot(x)=cos(x)	cos(x)	Verify the Identity sin(x)cot(x)=cos(x)
sin(x+y)+sin(x−y)=2sin(x)cos(y)	2sin(x)cos(y)	Verify the Identity sin(x+y)+sin(x-y)=2sin(x)cos(y)
sin(−(3*π)/4)	−√(,2)/2	Find the Exact Value sin(-(3pi)/4)
cos(−(2*π)/3)	−1/2	Find the Exact Value cos((-2pi)/3)
cos((2*π)/7)	cos((2*π)/7)	Find the Exact Value cos((2pi)/7)
arctan(1/2)	arctan(1/2)	Find the Exact Value arctan(1/2)
sin(105)	(√(,6)+√(,2))/4	Find the Exact Value sin(105 degrees )
sin((25*π)/2)	1	Find the Exact Value sin((25pi)/2)
cos((7*π)/4)	√(,2)/2	Find the Value Using the Unit Circle cos((7pi)/4)
tan(−135)	1	Find the Exact Value tan(-135 degrees )
sin(62)	sin(62)	Find the Exact Value sin(62)
sec(−135)	−√(,2)	Find the Exact Value sec(-135 degrees )
sin(47)	sin(47)	Find the Exact Value sin(47)
tan((8*π)/3)	−√(,3)	Find the Exact Value tan((8pi)/3)
tan(π/5)	√(,5−2√(,5))	Find the Exact Value tan(pi/5)
tan(1/2)	tan(1/2)	Find the Exact Value tan(1/2)
sec(225)	−√(,2)	Find the Exact Value sec(225 degrees )
csc(225)	−√(,2)	Find the Exact Value csc(225 degrees )
tan(6*π)	0	Find the Exact Value tan(6pi)
tan(4*π)	0	Find the Exact Value tan(4pi)
tan(−(3*π)/4)	1	Find the Exact Value tan(-(3pi)/4)
sin(33)	see full solution →	Find the Exact Value sin(33)
sec((8*π)/3)	−2	Find the Exact Value sec((8pi)/3)
sec(5*π)	−1	Find the Exact Value sec(5pi)
sec((2*π)/3)	−2	Find the Exact Value sec((2pi)/3)
sin((17*π)/4)	√(,2)/2	Find the Exact Value sin((17pi)/4)
sin(2/5)	sin(2/5)	Find the Exact Value sin(2/5)
csc((13*π)/6)	2	Find the Exact Value csc((13pi)/6)
sec(0)	1	Find the Exact Value sec(0 degrees )
csc(−60)	−(2√(,3))/3	Find the Exact Value csc(-60 degrees )
csc(2)	1/sin(2)	Find the Exact Value csc(2)
cos(15)	(√(,6)+√(,2))/4	Find the Exact Value cos(15)
cot((9*π)/4)	1	Find the Exact Value cot((9pi)/4)
csc(330)	−2	Find the Exact Value csc(330 degrees )
cos(8)	cos(8)	Find the Exact Value cos(8)
cos((25*π)/2)	0	Find the Exact Value cos((25pi)/2)
sin(−(4*π)/3)	√(,3)/2	Find the Exact Value sin(-(4pi)/3)
csc(150)	2	Find the Exact Value csc(150 degrees )
cos(14)	cos(14)	Find the Exact Value cos(14)
sin(45)	√(,2)/2	Find the Value Using the Unit Circle sin(45 degrees )
sin(120)	√(,3)/2	Find the Value Using the Unit Circle sin(120)
sin((7*π)/4)	−√(,2)/2	Find the Value Using the Unit Circle sin((7pi)/4)
sin(3/5)	sin(3/5)≈0.5646	Find the Value Using the Unit Circle sin(3/5)
tan((3*π)/2)	undefined	Find the Value Using the Unit Circle tan((3pi)/2)
(5π)/6+2π	(17*π)/6	Evaluate (5pi)/6+2pi
(2*π)/π/2	4	Evaluate (2pi)/(pi/2)
(3*π)/10	54	Evaluate (3pi)/10
(120*π)/180	(2*π)/3	Evaluate 120*pi/180
√(,2)/2⋅√(,3)/2	√(,6)/4	Evaluate
1/2+√(,3)/2	(1+√(,3))/2	Evaluate 1/2+( square root of 3)/2
csc2(x)	1+cot2(x)	Simplify csc(x)^2
cos(x)−1	−sin(x)	Simplify cos(x)^2-1
cos(x)*(1+tan(x))	1	Simplify cos(x)^2(1+tan(x)^2)
arccos(1/2)	π/3	Simplify arccos(1/2)
cos(x)/(1+sin(x))	sec(x)−tan(x)	Simplify (cos(x))/(1+sin(x))
cos(x)/sec(x)+sin(x)/csc(x)	1	Simplify (cos(x))/(sec(x))+(sin(x))/(csc(x))
cos(2*x)/cos(x)	2*cos(x)−sec(x)	Simplify (cos(2x))/(cos(x))
(5*π)/4	225	Simplify (5pi)/4
cos2(y)/(1−sin(y))	1+sin(y)	Simplify (cos(y)^2)/(1-sin(y))
π/2/4	π/8	Simplify (pi/2)/4
sin2(x)/cos(x)	sec(x)−cos(x)	Simplify (sin(x)^2)/(cos(x))
sin2(x)/cos2(x)	tan2(x)	Simplify (sin(x)^2)/(cos(x)^2)
((sin(x)+cos(x))2)/(1+2sin(x)cos(x))	1	Simplify ((sin(x)+cos(x))^2)/(1+2sin(x)cos(x))
1/sec2(x)	cos2(x)	Simplify 1/(sec(x)^2)
1/sin2(x)−1/tan2(x)	1	Simplify 1/(sin(x)^2)-1/(tan(x)^2)
(1−sin(x))/(1+sin(x))	(sec(x)−tan(x))2	Simplify (1-sin(x))/(1+sin(x))
(1−sin(x))/cos(x)	sec(x)−tan(x)	Simplify (1-sin(x))/(cos(x))
(1+tan(x))/(1+cot(x))	tan(x)	Simplify (1+tan(x))/(1+cot(x))
(1+sin(u))/cos(u)+cos(u)/(1+sin(u))	2*sec(u)	Simplify (1+sin(u))/(cos(u))+(cos(u))/(1+sin(u))
(11*π)/6	330	Simplify (11pi)/6
csc(x)=(2√(,3))/3	see full solution →	Solve for x csc(x)=(2 square root of 3)/3
csc(x)=√(,2)	see full solution →	Solve for x csc(x) = square root of 2
sin(θ)=−1/2	(7π)/6+2kπ,(11π)/6+2kπ	Solve for θ in Radians sin(theta)=-1/2
sin(x)=1/3	see full solution →	Solve for x sin(x)=1/3
tan(x)−√(,3)=0	0⇒x=π/3+n*π,n∈ℤ	Solve for x tan(x)- square root of 3=0
2sin2(x)−3sin(x)−2=0	(7π)/6+2nπ,(11π)/6+2nπ	Solve for x 2sin(x)^2-3sin(x)-2=0
4*cos(x)−3=0	π/6+nπ,(5π)/6+n*π	Solve for x 4cos(x)^2-3=0
cos(x)=3/5	see full solution →	Solve for x cos(x)=3/5
(x−15)(3/4)=27	27⇒x=96	Solve for x (x-15)^(3/4)=27
2*sin(x)+√(,3)=0	(4π)/3+2kπ,(5π)/3+2kπ	Solve for x 2sin(x)+ square root of 3=0
2*cos2(x)+cos(x)−1=0	±π/3+2nπ,π+2nπ	Solve for x 2cos(x)^2+cos(x)-1=0
sin(x)*cos(x)=0	0⇒x=(n*π)/2	Solve for x (sin(x))(cos(x))=0
2*cot(x)+1=−1	(3π)/4+nπ	Solve for x 2cot(x)+1=-1
2*sin2(x)+sin(x)−1=0	see full solution →	Solve for x 2sin(x)^2+sin(x)-1=0
cos(2*x)=−1	−1⇒x=π/2+k*π,k∈ℤ	Solve for x cos(2x)=-1
cos(x)−sin(x)=0	0⇒x=π/4+n*π,n∈ℤ	Solve for x cos(x)-sin(x)=0
cos(3*x)=1/2	see full solution →	Solve for x cos(3x)=1/2
tan(3*x)=√(,3)	√(,3)⇒x=π/9+(n*π)/3	Solve for x tan(3x) = square root of 3
tan(x)=2	2⇒x=arctan(2)+n*π,n∈ℤ	Solve for x tan(x)=2
sin(x)cos(2x)+cos(x)sin(2x)=0	0⇒x=(n*π)/3,n∈ℤ	Solve for x sin(x)cos(2x)+cos(x)sin(2x)=0
sin(2*x)=0	0⇒x=(n*π)/2,n∈ℤ	Solve for x sin(2x)=0
sin(3*x)=0	0⇒x=(n*π)/3,n∈ℤ	Solve for x sin(3x)=0
sin(x)=5/6,x∈Quadrant II	see full solution →	Find the Other Trig Values in Quadrant II sin(x)=5/6
cot(√(,3)/3)	cot(√(,3)/3)	Simplify cot(( square root of 3)/3)
tan(arccos(−√(,3)/2))	−√(,3)/3	Simplify tan(arccos(-( square root of 3)/2))
cos(330)	√(,3)/2	Simplify cos(330)
cos(240)	−1/2	Simplify cos(240)
cos(x)−sin(x)	√(,2)*cos(x+π/4)	Simplify cos(x)-sin(x)
cos(x−π/2)	sin(x)	Simplify cos(x-pi/2)
cot(π)	undefined	Simplify cot(pi)
sec(π/6)	(2√(,3))/3	Simplify sec(pi/6)
sec(0)	1	Simplify sec(0)
sin((5*π)/3)	−√(,3)/2	Simplify sin((5pi)/3)
sin((7π)/12)cos(π/12)−cos((7π)/12)sin(π/12)	1	Simplify
sin((7*π)/6)	−1/2	Simplify sin((7pi)/6)
sin(2*π)	0	Simplify sin(2pi)
sin(210)	−1/2	Simplify sin(210)