Question

If cot theta=1.5 and theta is in quadrant 3, what is the value of sin theta?

Answer 1

-0.55

Explanation:

Use trig identity:
`1 + cot^2 t = 1/(sin^2 t)`
`1 + 2.25 = 1/(sin^2 t)`
`sin^2 t = 1/3.25`
`sin t = +- 1/1.80`
Since t is in quadrant III, then sin t is negative -->
`sin t = - 1/1.8 = -0.55`