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If cot^(4)x − cot^(2)x = 1, then the value of cos^(4)x + cos^(2)x is

User Joe Beda
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1 Answer

0 votes

Answer:

1

Explanation:


cot^4x-cot^2x=1\\cot^4x=1+cot^2x\\cot^4x=cosec^2x\\ cos^4xsin^2x=sin^4x\\cos^4x=(sin^4x)/(sin^2x)\\cos^4x=sin^2x------- (1)

Putting the value of
cos^4x in the equation:


cos^4x+cos^2x\\sin ^2x +cos^2x\\1 (Using the identity
cos^2x +sin^2x=1)

User Harunurhan
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