Modeling with Trigonometric Functions · Exercise 128

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

Find $sin\left(\frac{\theta }{2}\right),cos\left(\frac{\theta }{2}\right),$ and $tan\left(\frac{\theta }{2}\right)$ given $cos\theta =\frac{7}{25}$ and $\theta$ is in quadrant IV.

OpenStax, Precalculus 2e · §7.6 Modeling with Trigonometric Functions · Exercise 128