please prove these identities :
$ \sin (\frac{\pi}{2m})\sin (\frac{2\pi}{2m})\sin (\frac{3\pi}{2m})\dots\sin (\frac{(m-1)\pi}{2m}) =\frac{\sqrt{m}}{2^{m-1}} $
\sin (\frac{\pi}{4m})\sin (\frac{3\pi}{4m})\sin (\frac{5\pi}{4m})\dots\sin (\frac{(2m-1)\pi}{4m}) =\frac{\sqrt{2}}{2^{m-1}}
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