Prove that (cos4x + sin4x) = 1/2 (2 - sin22x)

Dear student,
LHS, cos4x+sin4x= cos2x+sin2x2-2sin2xcos2x= 1-2sin2xcos2x=1-124sin2xcos2x= 1-12sin2x2=2-sin22x2= 122-sin2x=RHS

Regards

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