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Prove that:cos^2 2x-cos^2 6x=sin4xsin8x...

Prove that:`cos^2 2x-cos^2 6x=sin4xsin8x`

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To prove that \( \cos^2 2x - \cos^2 6x = \sin 4x \sin 8x \), we will start with the left-hand side (LHS) and manipulate it step by step. ### Step 1: Start with the LHS \[ \cos^2 2x - \cos^2 6x \] ### Step 2: Apply the difference of squares formula ...
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