Modeling with Trigonometric Functions · Exercise 127

Find all exact solutions to the equation on $\left[0,2\pi \right).$

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, Precalculus 2e · §7.6 Modeling with Trigonometric Functions · Exercise 127