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Question Number 143063 by ERA last updated on 09/Jun/21

$$\mathbf{cos}\left(\frac{\mathit{\pi }}{2\mathrm{n}+1}\right)\mathbf{cos}\left(\frac{2\mathit{\pi }}{2\mathrm{n}+1}\right)\mathbf{cos}\left(\frac{3\mathit{\pi }}{2\mathrm{n}+1}\right).....\mathbf{cos}\left(\frac{\mathbf{n}\mathit{\pi }}{2\mathbf{n}+1}\right)=\frac{1}{2^{\mathbf{n}}}$$$$\mathbf{prove}$$

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