sin4A-cos4A=2sinsquareA-1=1-2cossquareA=sinsquareA-cossquareA
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Step-by-step explanation:
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Explanation:
LHS = sin^4x−cos^4x
=(sin^2x−cos^2x) (sin^2x+cos^2x)
=(sin^2x−cos^2x)⋅1
=(1−cos^2x)−cos^2x (sin^2x+cos^2x=1)
=1−2cos^2x
=RHS
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