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How do you verify ##(1-cos^2x)(1+cos^2x)=2sin^2x-sin^4x##?...

How do you verify ##(1-cos^2x)(1+cos^2x)=2sin^2x-sin^4x##?

Prove ( 1 - cos ^2 x) (1 + cos^2 x) = 2sin^2 x - sin^4 x Replace ##( 1 - cos^2 x)##...

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