#### Problem 32E

32. Suppose $f(\pi / 3)=4$ and $f^{\prime}(\pi / 3)=-2$, and let $g(x)=f(x) \sin x$ and $h(x)=(\cos x) / f(x) .$ Find

(a) $g^{\prime}(\pi / 3)$

(b) $h^{\prime}(\pi / 3)$