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Prove that (sin5x-2sin3x+sinx)/(cos5x-co...

Prove that `(sin5x-2sin3x+sinx)/(cos5x-cosx)=tanx`

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