Solving Trigonometric Equations · Exercise 179

Find all solutions exactly on the interval $0\le \theta \le \pi$

Find $sin\left(2\theta \right),cos\left(2\theta \right),$ and $tan\left(2\theta \right)$ given $cot\theta =-\frac{3}{4}$ and $\theta$ is on the interval $\left[\frac{\pi }{2},\pi \right].$

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Algebra and Trigonometry 2e · §9.5 Solving Trigonometric Equations · Exercise 179