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Math Help - nth roots of unity?

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    Super Member fardeen_gen's Avatar
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    nth roots of unity?

    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}}

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