Evaluate :cos^6x-sin^6x
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Step-by-step explanation:
( (cos x)^3 - (sin x)^3 )( (cos x)^3 + (sin x)^3 )
=> [ (cos x - sin x){(cos x)^2 + (sin x)^2 +cos x.sin x} ] [ (cos x + sin x){(cos x)^2 + (sin x)^2 - cos x.sin x} ]
=> [ (cos x - sin x){1 +cos x.sin x} ] [ (cos x + sin x){1 - cos x.sin x} ]
=> (cos x + sin x)(cos x - sin x)(1 + cos x.sin x)(1 - cos x.sin x)
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