Math, asked by prathamchhangani, 1 year ago

cos^4a-sin^a is equal to _______

Answers

Answered by pracheeparikh

cos^4a-sin^a is equal to _______

(cos^2a)^2 - (sin^2a)^2

(cos^2a - sin^2a)(cos^2a+sin^2a)

As we know that

cos^2a+sin^2a=1

cos^2a - sin^2a=cos 2a

hence,
cos^4a-sin4a = cos2a

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