SOLUTION: Prove (cot^2x)/(sinx+cosx)=(cos^2xsinx-cos^3x)/(2sin^4x-sin^2x)

SOLUTION: Prove (cot^2x)/(sinx+cosx)=(cos^2xsinx-cos^3x)/(2sin^4x-sin^2x)

Algebra.Com

Question 441226: Prove
(cot^2x)/(sinx+cosx)=(cos^2xsinx-cos^3x)/(2sin^4x-sin^2x)
Answer by Gogonati(855) (Show Source): You can put this solution on YOUR website!
We transform the right side until reach the same expression as the left side:
= =
= =
= , thus
the identity is true.
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