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find-k-1-n-cos-kpi-2n-1-and-k-1-n-sin-kpi-2n-1-




Question Number 37885 by abdo mathsup 649 cc last updated on 19/Jun/18
find   Π_(k=1) ^n  cos(((kπ)/(2n+1)))  and Π_(k=1) ^n  sin(((kπ)/(2n+1)))
$${find}\:\:\:\prod_{{k}=\mathrm{1}} ^{{n}} \:{cos}\left(\frac{{k}\pi}{\mathrm{2}{n}+\mathrm{1}}\right)\:\:{and}\:\prod_{{k}=\mathrm{1}} ^{{n}} \:{sin}\left(\frac{{k}\pi}{\mathrm{2}{n}+\mathrm{1}}\right) \\ $$

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