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If alpha=pi/3, prove that cosalphac...

If `alpha=pi/3`, prove that
`cosalphacos2alphacos3alphacos4alphacos5alphacos6alpha=-1/16`

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AI Generated Solution

To prove that \[ \cos \alpha \cos 2\alpha \cos 3\alpha \cos 4\alpha \cos 5\alpha \cos 6\alpha = -\frac{1}{16} \] given that \(\alpha = \frac{\pi}{3}\), we will follow these steps: ...
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