Question

The measure θ of an angle in standard position is given. Find the exact values of cosθ and sinθ for each angle measure.
`-(\pi )/(2)`

Answer 1

sin Ф = -1 and cos Ф = 0

Explanation:

If the angle is -pi/2 (or -90 degrees), then the radius must be 1 and the opposite (vertical) side -1. The horizontal (adjacent) side is 0.

Thus, the sine of this angle is opp/hyp = -1.

The cosine is adj/hyp = 0.