cos power 4 theta + sin power 438 theta equals to 1 - 2 cos squared theta sin squared theta
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L.H.S:
cos^4θ+sin^4θ= (cos^2θ)^2 + (sin^2θ)^2
=(cos^2θ+sin^2θ)^2 -2sin^2θcos^2θ
=(1) - 2sin^2θcos^2θ
=1-2sin^2θcos^2θ
=R.H.S
Hence Proved
cos^4θ+sin^4θ= (cos^2θ)^2 + (sin^2θ)^2
=(cos^2θ+sin^2θ)^2 -2sin^2θcos^2θ
=(1) - 2sin^2θcos^2θ
=1-2sin^2θcos^2θ
=R.H.S
Hence Proved
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