Question

The point (8, –15) is on the terminal side of an angle θ. What is sin θ ?

Answer 1

Assuming (8, -15) is the terminal side of the angle, simply draw a triangle with side lengths of 8 and 15.



From there, use the inverse tangent function to find the angle.
arctan (-15/8)=-61.93

Now that you have the angle, simply take the sin of it
sin (-61.92)=-.8822