Let $$\theta$$ be an angle in the standard position such that the point $$(-5,12)$$ lies on its terminal side, then

If $$\cos \frac{\pi}{4} \cos \frac{\pi}{8} \cos \frac{\pi}{16} \cos \frac{\pi}{32}=2^m \operatorname{cosec} \frac{\pi}{n}$$, then $$m+n$$ is equal to

If $$A+B+C=\frac{3 \pi}{2}$$, then $$\cos 2 A+\cos 2 B+\cos 2 C$$ is equal to

$$\sinh (x+y) \cosh (x-y)$$ is equal to