Chapter 6.6, Problem 11AYU

In problem 9-20, use the information given about the angle $\theta$, $0\le \theta \le 2\pi$, to find the exact value of

$\left(a\right)\sin \left(2\theta \right)(b)\cos \left(2\theta \right)(c)\sin \left(\frac{\theta }{2}\right)(d)\cos \left(\frac{\theta }{2}\right)(e)\tan \left(2\theta \right)(f)\tan \left(\frac{\theta }{2}\right)$

$\tan \theta =\frac{4}{3},\pi <\theta <\frac{3\pi }{2}$