Question

How do you find `cot theta` if `sintheta=-15/17` and `theta` terminates in QIII?

Answer 1

`cot t = 8/15`

Explanation:

Use tri identity:
`cot^2 t = 1/sin^2 t - 1 = 1/(225/(289)) = 289/225 - 1 = 64/225`
`cot t = +- 8/15`
Since t is in Quadrant 3, then, cot is positive.
`cot = 8/15`