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Prove that (sin 3x - sin x) /( cos ...

Prove that `(sin 3x - sin x) /( cos x - cos 3x) = cot 2x`

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To prove that \[ \frac{\sin 3x - \sin x}{\cos x - \cos 3x} = \cot 2x, \] we will start with the left-hand side (LHS) and simplify it step-by-step. ...
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