You can put this solution on YOUR website! Prove how 8sin^2(x)cos^2(x)=2sin(2x).
Use the double-angle formula on the right side to get:
8sin^2(x)cos^2(x) = 2*2sin(x)cos(x)
Comment: I don't think you can prove what you are asked to prove.
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Cheers,
Stan H.