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Prove that (sinA+sin2A+sin4A+sin5A)/(cos...

Prove that `(sinA+sin2A+sin4A+sin5A)/(cos A+cos2A+cos 4A+cos5A)=tan3A`.

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To prove the equation \[ \frac{\sin A + \sin 2A + \sin 4A + \sin 5A}{\cos A + \cos 2A + \cos 4A + \cos 5A} = \tan 3A, \] we will use the sum-to-product identities for sine and cosine. ...
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