Chapter 5.5, Problem 42E

To determine

a)

The quadrant in which $\frac{u}{2}$ lies for the expression $\sin u=\frac{5}{13}$, $\frac{\pi }{2}<u<\pi$.

To determine

b)

To Find:

The exact values of $\sin \left(u/2\right)$, $\cos \left(u/2\right)$, and $\tan \left(u/2\right)$ for expression $\sin u=\frac{5}{13}$, $\frac{\pi }{2}<u<\pi$

using the half-angle formulas.