Chapter 7.6, Problem 11SB

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

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

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