16.已知函数 $f(x)=\sin \left(3 x+\frac{\pi}{4}\right)$ .
(1)求 $f(x)$ 的单调递增区间;
(2)若 $\alpha$ 是第二象限角,$f\left(\frac{\alpha}{3}\right)=\frac{4}{5} \cos \left(\alpha+\frac{\pi}{4}\right) \cos 2 \alpha$ ,求 $\cos \alpha-\sin \alpha$ 的值.
参考答案(1) $-\frac{\pi}{4}+\frac{2}{3} k \pi \leq x \leq \frac{\pi}{12}+\frac{2}{3} k \pi(k \in Z)$; (2) $-\sqrt{2},-\frac{\sqrt{5}}{2}$ .