Math, asked by DeekshaRai, 1 year ago

Prove: sin^2A+cos^4A=cos^2A+sin^4A

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Answered by sangharsh1234

Lhs= sin^2a+cos^4 a = sin^2a+(1-sin^2a)^2 = sin^2a+1+sin^4a-2sin^2a =sin^2a+sin^2a+cos^2a-2sin^2a+sin^4a =2sin^2a-2sin^2a+sin^4a+cos^2a =sin^4a+cos^2a= RHS proved

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