Find the Sine Given the Point (-8,3)

Problem

sin(θ)* given the point *(−8,3)

Solution

1. Identify the coordinates of the given point (x,y) where x=−8 and y=3

2. Calculate the radius r using the distance formula r=√(,x2+y2)

r=√(,(−8)2+3)

r=√(,64+9)

r=√(,73)

3. Apply the formula for the sine of an angle in standard position, which is sin(θ)=y/r

sin(θ)=3/√(,73)

4. Rationalize the denominator by multiplying the numerator and denominator by √(,73)

sin(θ)=(3√(,73))/73

Final Answer

sin(θ)=(3√(,73))/73

Want more problems? Check here!