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August 3rd, 2017, 04:44 PM  #1 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,764 Thanks: 1012 Math Focus: Elementary mathematics and beyond  Trigonometric Product Challenge
Prove for $m=2,3,...$ $$\sin\frac{\pi}{m}\sin\frac{2\pi}{m}\sin\frac{3 \pi}{m}\cdots\,\sin\frac{(m1)\pi}{m}=\frac{m}{2^{m1}}$$ 

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