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August 3rd, 2017, 04:44 PM   #1
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Trigonometric Product Challenge

Prove for $m=2,3,...$

$$\sin\frac{\pi}{m}\sin\frac{2\pi}{m}\sin\frac{3 \pi}{m}\cdots\,\sin\frac{(m-1)\pi}{m}=\frac{m}{2^{m-1}}$$
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August 7th, 2017, 05:36 AM   #2
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