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sin2x+2sin4x+sin6x= 4cos^(2)xsin4x...

`sin2x+2sin4x+sin6x= 4cos^(2)xsin4x`

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To prove the equation \( \sin 2x + 2\sin 4x + \sin 6x = 4\cos^2 x \sin 4x \), we will start with the left-hand side and manipulate it step by step. ### Step 1: Write the Left-Hand Side We start with the left-hand side of the equation: \[ \sin 2x + 2\sin 4x + \sin 6x \] ...
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