Question

How do you sketch the angle whose terminal side in standard position passes through `(-15,-8)` and how do you find sin and cos?

Answer 1

`sin t = - 15/17`
`cos t = - 8/17`

Explanation:

The terminal side is in Quadrant III.
Call t the angle (or arc on unit circle).
`sin t = (-15)/(sqrt(225 + 64)) = (-15)/(sqrt(289)) = - 15/17`
`cos t = - 8/ 17`