nth roots of unity?

**fardeen_gen** · May 25th 2009, 09:58 AM

If 1, $\alpha_1,\alpha_2,\alpha_3,\mbox{...}\alpha_{n - 1}$ are the $n^{th}$ roots of unity, prove that:
$\sin\frac{\pi}{n}\sin\frac{2\pi}{n}\sin\frac{3\pi} {n}\mbox{...}\sin\frac{(n - 1)\pi}{n} = \frac{n}{2^{n - 1}}$

**Moo** · May 25th 2009, 10:55 AM

Hello,

See here : http://www.mathhelpforum.com/math-he...-identity.html

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