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tan2((3*π)/4)−sec2((3*π)/4) | | |
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tan(x)/(1+sec(x))+(1+sec(x))/tan(x) | | |
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(1−cos(x))*(csc(x)+cot(x)) | | |
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| (√(,30+6√(,5))−√(,5)+1)/8 | |
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sin(x)−sin(x)*cos2(x)=sin3(x) | | |
sin(x)*tan(x)=sec(x)−cos(x) | | |
sin(x)+sin(5*x)=2*sin(3*x)*cos(2*x) | | |
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sin(6*x)=2*sin(3*x)*cos(3*x) | | |
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| 4−2*cos2(x)* is not an identity. | |
(csc(x)−cot(x))/(sec(x)−1)=cot(x) | | |
sin(2*x)/(1+cos(2*x))=tan(x) | | |
(sec(x)−csc(x))/(sec(x)+csc(x))=(tan(x)−1)/(tan(x)+1) | | |
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sec(x)−sec(x)=tan(x)+tan(x) | | |
sec2(x)*csc2(x)=sec2(x)+csc2(x) | | |
sec2(x)+csc2(x)=sec2(x)*csc2(x) | | |
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cot(2*u)=(cot2(u)−1)/(2*cot(u)) | | |
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tan2(t)/sec(t)=sec(t)−cos(t) | | |
(sin(x)−cos(x)+1)/(sin(x)+cos(x)−1)=(sin(x)+1)/cos(x) | | |
(1+sin(x))*(1−sin(x))=cos2(x) | | |
(1−cos(x))/(1+cos(x))=(csc(x)−cot(x))2 | | |
1/tan(x)+tan(x)=1/(sin(x)*cos(x)) | | |
1/(sec(x)−tan(x))=sec(x)+tan(x) | | |
cos(x)/(sec(x)*sin(x))=csc(x)−sin(x) | | |
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| sin(50)*cos(30)−cos(50)*sin(30) | |
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| Amplitude: None, Period: 1, Phase Shift: 0 | |
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| 1,Period=π,Phase Shift=π/2 | |
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| 1,Period=2*π,Phase Shift=0 | |
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| 3,Period=π,Phase Shift=π/2 | |
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| 6,Period=2*π,Phase Shift=0 | |
| 2,Period=4*π,Phase Shift=0 | |
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| 2,Period=(2*π)/5,Phase Shift=0 | |
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| 1/4,Period=3,Phase Shift=0 | |
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| 1,Period=(2*π)/7,Phase Shift=0 | |
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| Positive y-axis (between Quadrant I and II) | |
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| 8*(cos((3*π)/2)+i*sin((3*π)/2)) | |
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| 6*(cos((2*π)/3)+i*sin((2*π)/3)) | |
| 4√(,2)*(cos(315)+i*sin(315)) | |
| 8*(cos((5*π)/3)+i*sin((5*π)/3)) | |
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Find *sin(θ)* given the point *(−8,6) | | |
Find *sin(θ)* given the point *(5,5) | | |
Find *cos(θ)* given the point *(14,−14) | | |
cos(θ)* given the point *(16,30) | | |
sin(θ)* given *(x,y)=(−15,8) | | |
sin(θ)* given the point *(−10,24) | | |
sin(θ)* given *(x,y)=(−3,−5) | | |
sin(θ)* given the point *(2,−3) | | |
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sin(θ)* given the point *(−20,48) | | |
sin(θ)* given *(x,y)=(21,28) | | |
Find *sin(θ)* given the point *(√(,6),−√(,2)) | | |
sin(θ)* given *(x,y)=(√(,2)/2,√(,2)/2) | | |
ƒ(x)=tan(x), at *(1/2,√(,3)/2) | | |
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cos(θ)* given the point *(−6,−5) | | |
cos(θ)* given the point *(4,3) | | |
cos(θ)* given the point *(−4,5) | | |
Find *cos(θ)* given the point *(2,3) | | |
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| Quadrantal angle (positive y-axis) | |
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| The angle −(4*π)/3* is in Quadrant II | |
| −5*π* is a quadrantal angle (on the negative x-axis) | |
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Find the Tangent Given the Point *(6,−7) | | |
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cos(θ)* given *(x,y)=(24,7) | | |
cos(θ)* given the point *(−24,7) | | |
cos(θ)* given the point *(−2,5) | | |
Find *cos(θ)* given the point *(3,−3) | | |
cos(θ)* given the point *(6,−7) | | |
Find *cos(θ)* given the point *(6,8) | | |
cos(θ)* given the point *(−6,8) | | |
cos(θ)* given the point *(8,15) | | |
Find *cos(θ)* given the point *(9,−12) | | |
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sin(θ)* given *(x,y)=(7/25,24/25) | | |
Find *sin(θ)* given the point *(2√(,3),−2) | | |
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Find *sin(θ)* given the point *(1,3) | | |
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cos(θ)* given the point *(15,8) | | |
cos(θ)* given the point *(−1,−3) | | |
sin(θ)* given the point *(−4,2) | | |
sin(θ)* given the point *(−8,−15) | | |
Find *sin(θ)* given the point *(−6,8) | | |
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sin(θ)* given the point *(−7,−4) | | |
Find *sin(θ)* given the point *(8,6) | | |
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| 2√(,2)*(cos(π/4)+i*sin(π/4)) | |
(cos((2*π)/3)+i*sin((2*π)/3))n | cos((2*n*π)/3)+i*sin((2*n*π)/3) | |
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| 2√(,2)*(cos((5*π)/4)+i*sin((5*π)/4)) | |
| 6*(cos((5*π)/3)+i*sin((5*π)/3)) | |
| 3√(,2)*(cos(225)+i*sin(225)) | |
| √(,10)*(cos(arctan(3))+i*sin(arctan(3))) | |
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| (log_z)(x)+2*(log_z)(y)−(log_z)(64) | |
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| (−4,−4)⇒(−4*cos(4),4*sin(4)) | |
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sin(x)=2/3,cos(x)=√(,5)/3 | | |
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| (sin(x)−cos(x))*(sin(x)+cos(x)) | |
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sec(x)−2*sec(x)*tan(x)+tan(x) | | |
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| 2,Period=2*π,Phase Shift=0 | |
| 2/3,Period=2*π,Phase Shift=0 | |
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| 2,Period=2*π,Phase Shift=π | |
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(sin(x)−cos(x))/(sec(x)−csc(x))=sin(2*x)/2 | | |
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| 1,Period=2*π,Phase Shift=0 | |
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| 4,Period=(2*π)/3,Phase Shift=0 | |
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| 1/4,Period=2*π,Phase Shift=0 | |
| 5/2,Period=4*π,Phase Shift=0 | |
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| 1,Period=π/2,Phase Shift=0 | |
| 1,Period=2*π,Phase Shift=0 | |
| 9/7,Period=7,Phase Shift=0 | |
| 3,Period=4*π,Phase Shift=0 | |
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| 2,Period=π/2,Phase Shift=0 | |
| 1,Period=2*π,Phase Shift=0 | |
| 5,Period=π/2,Phase Shift=0 | |
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| 2,Period=6*π,Phase Shift=0 | |
| 2,Period=8*π,Phase Shift=0 | |
| 2,Period=π/3,Phase Shift=0 | |
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| 4,Period=(2*π)/3,Phase Shift=0 | |
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| 4,Period=π,Phase Shift=π/2 | |
| 3,Period=π,Phase Shift=π/4 | |
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| 1,Period=(2*π)/3,Phase Shift=0 | |
| 1,Period=4*π,Phase Shift=0 | |
| 1,Period=6*π,Phase Shift=0 | |
| 1,Period=2*π,Phase Shift=π/6 | |
| 1,Period=2*π,Phase Shift=2 | |
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| 1,Period=2*π,Phase Shift=0 | |
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Find the complement of *3 | | |
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cos(a−b)/(cos(a)*sin(b))=tan(a)+cot(b) | | |
1/(1−cos(x))+1/(1+cos(x))=2*csc2(x) | | |
(1+cos(x))/(1−cos(x))−(1−cos(x))/(1+cos(x))=4*cot(x)*csc(x) | | |
1/(sec(x)*tan(x))=csc(x)−sin(x) | | |
(1−cos(x))/sin(x)=sin(x)/(1+cos(x)) | | |
(1−cos(x))/sin(x)=csc(x)−cot(x) | | |
(sec(x)−1)*(sec(x)+1)=tan2(x) | | |
(5*sin(x)+5*cos(x))2=25+25*sin(2*x) | | |
(sin(x)+cos(x))2=1+2*sin(x)*cos(x) | | |
(tan(x)*sin(x))/(sec2(x)−1)=cos(x) | | |
cot2(x)/csc(x)=csc(x)−sin(x) | | |
(tan2(x)*cos(x))/(2*sec(x))=1/2*sin2(x) | | |
sec2(x)/tan(x)=sec(x)*csc(x) | | |
cos(x)+sin(x)*tan(x)=sec(x) | | |
csc(2*x)=csc(x)/(2*cos(x)) | | |
csc(x)*(2*sin(x)−√(,2))=0 | | |
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cos(x+y)*cos(x−y)=cos2(x)−sin2(y) | | |
cos(x)*cot(x)+sin(x)=csc(x) | | |
cos(x)−cos(x)/(1−tan(x))=(sin(x)*cos(x))/(sin(x)−cos(x)) | (sin(x)*cos(x))/(sin(x)−cos(x)) | |
sec(x)/tan(x)−tan(x)/sec(x)=cos(x)*cot(x) | | |
sin(3*x)/(sin(x)*cos(x))=4*cos(x)−sec(x) | | |
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csc(x)/sin(x)−cot(x)/tan(x)=1 | | |
cot2(x)−cos2(x)=cot2(x)*cos2(x) | | |
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tan(2*x)+sin(2*x)+cos(2*x)=sec(2*x) | | |
(tan(x)−1)/(tan(x)+1)=(1−cot(x))/(1+cot(x)) | | |
13*sec(x)*sin(x)=13*cot(x)*tan2(x) | | |
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sin(t)*tan(t)=(1−cos2(t))/cos(t) | | |
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sec(y)+tan(y)=cos(y)/(1−sin(y)) | | |
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tan(x)*(csc(x)−sin(x))=cos(x) | | |
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tan(x)+sec(x)=cos(x)/(1−sin(x)) | | |
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| arccos(−0.546)≈2.1486* radians | |
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sin(x)/cos(x)+cos(x)/sin(x) | | |
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| (√(,3)+√(,15)−√(,10−2√(,5)))/8 | |
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| (√(,20+4√(,5))−√(,10)+√(,2))/8 | |
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(2*csc(x)+2)*(2*csc(x)−2) | | |
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(1−cos(x))*(1+sec(x))*(cos(x)) | | |
(sec(x)+csc(x))*(cos(x)−sin(x)) | | |
(cot(x)+csc(x))*(cot(x)−csc(x)) | | |
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(sin(x)+cos(x))/(sin(x)*cos(x)) | | |
sin(x)/(1−cos(x))−sin(x)/(1+cos(x)) | | |
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sec(x)/cos(x)−tan(x)/cot(x) | | |
(sin(x)*sec(x))/(cos(x)*tan(x)) | | |
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cos(x)/(sin(x)−1)⋅(sin(x)+1)/(sin(x)+1) | | |
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cos(a)/sec(a)+sin(a)/csc(a) | | |
cos(x)/(1−tan(x))+sin(x)/(1−cot(x)) | | |
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((1−cos(x))*(1+cos(x)))/((1−sin(x))*(1+sin(x))) | | |
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(sec2(x)−tan2(x))/(cot2(x)−csc2(x)) | | |
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(sin4(A)−cos4(A))/(cos(A)−sin(A)) | | |
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1/(sec(x)−tan(x))−1/(sec(x)+tan(x)) | | |
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(1+sin(x))/cos(x)+cos(x)/(1+sin(x)) | | |
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| (5*π)/4+2*n*π,(7*π)/4+2*n*π | |
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2*sin(2*x)*cos(x)−sin(x)=0 | | |
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cot(x)=−1.3,(3*π)/2≤x≤2*π | | |
| x-intercept: *(0,0), y-intercept: *(0,0) | |
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sin(x)=−24/25,π<x<(3*π)/2 | | |
sin(x)=−15/17,π<x<(3*π)/2 | | |
sin(x)=√(,5)/7, Quadrant II | | |
sec(x)=−13/5, Quadrant II | | |
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cos(x)=−24/25, Quadrant II | | |
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cos2(π/2−x)/√(,1−sin2(x)) | | |
cos(3*x)=1, in Quadrant I | | |
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| x-intercept: none, y-intercept: *(0,(7*π)/4) | |
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cos((11*π)/12)*cos((2*π)/3)+sin((11*π)/12)*sin((2*π)/3) | | |
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cos(π/7)*cos(π/5)−sin(π/7)*sin(π/5) | | |
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cos(π/9)*cos((2*π)/9)−sin(π/9)*sin((2*π)/9) | | |
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cos((5*π)/12)*cos(π/12)+sin((5*π)/12)*sin(π/12) | | |
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sin((5*π)/12)*cos(π/3)+cos((5*π)/12)*sin(π/3) | | |
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| (tan(a)+tan(b))/(1−tan(a)*tan(b)) | |
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| (4*tan(x)−4*tan3(x))/(1−6*tan2(x)+tan4(x)) | |
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| 1/2*cos(4*x)−1/2*cos(8*x) | |
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sin(30)*cos(60)+sin(60)*cos(30) | | |
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| 2*sin((x+y)/2)*cos((x−y)/2) | |
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sin(x)*cos(x)*(tan(x)+cot(x)) | | |
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| sin(a)*cos(b)−cos(a)*sin(b) | |
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sin(arctan(2*x)−arccos(x)) | (2*x2−√(,1−x2))/√(,4*x2+1) | |
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(tan(−x)*csc(−x))/(sec(−x)*cot(−x)) | | |
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4*a*b√(,2*b)−3*a√(,18*b3)+7*a*b√(,6*b) | −5*a*b√(,2*b)+7*a*b√(,6*b) | |
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6*tan(π/4)+sin(π/3)*sec(π/6) | | |
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| (57−76*cos(2*x)+19*cos(4*x))/8 | |
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1+(sin(x)−cos(x))*(sin(x)+cos(x)) | | |
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sin(20)*cos(10)+cos(20)*sin(10) | | |
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sin(15)*cos(15)+cos(15)*sin(15) | | |
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sin(π/6)*cos((2*π)/3)+cos(π/6)*sin((2*π)/3) | | |
sin(π/5)*cos((3*π)/10)+cos(π/5)*sin((3*π)/10) | | |
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sin((5*π)/12)*cos(π/4)−cos((5*π)/12)*sin(π/4) | | |
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sin(π/12)*cos((7*π)/12)+cos(π/12)*sin((7*π)/12) | | |
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| √(,3)/2*cos(x)+1/2*sin(x) | |
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cos(4*x)*cos(3*x)+sin(4*x)*sin(3*x) | | |
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| 16*cos5(x)−20*cos3(x)+5*cos(x) | |
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| 64*cos7(x)−112*cos5(x)+56*cos3(x)−7*cos(x) | |
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cos(u+v)*cos(v)+sin(u+v)*sin(v) | | |
cos(x)*csc2(x)−cos(x)*cot2(x) | | |
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cos(x)*tan(x)+sin(x)*cot(x) | | |
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cos(20)*cos(70)−sin(20)*sin(70) | | |
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cos(223.5*x)*cos(−15.5*x)−sin(223.5*x)*sin(−15.5*x) | | |
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cos((7*π)/12)*cos(π/4)+sin((7*π)/12)*sin(π/4) | | |
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cos(π/12)*cos(−π/6)+sin(π/12)*sin(−π/6) | | |
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| x-intercept: *(0,0), y-intercept: *(0,0) | |
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√(,((1−cos(x))*(1+cos(x)))/cos2(x)) | | |
√(,(1+sin(y))/(1−sin(y))) | | |
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cot(x)=√(,3)/3, in Quadrant I | | |
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cos(a)=√(,11)/11, Quadrant I | | |
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sin(x)=√(,2)/6, Quadrant I | | |
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sin(a)=12/13, Quadrant II | | |
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tan(x)=−8/15, Quadrant II | | |
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