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Prove that:cot 4x (sin 5x + sin 3x) = co...

Prove that:`cot 4x (sin 5x + sin 3x) = cot x (sin 5x - sin 3x)`

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To prove that \( \cot 4x (\sin 5x + \sin 3x) = \cot x (\sin 5x - \sin 3x) \), we will start by simplifying both sides of the equation. ### Step 1: Simplifying the Left-Hand Side (LHS) We start with the LHS: \[ \text{LHS} = \cot 4x (\sin 5x + \sin 3x) \] Using the sine addition formula: ...
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