SOLUTION: Prove sin^2 x cos^2 x + cos^4 x = (1-sinx) (1+sinx) is an identity

SOLUTION: Prove sin^2 x cos^2 x + cos^4 x = (1-sinx) (1+sinx) is an identity

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Question 1159354: Prove sin^2 x cos^2 x + cos^4 x = (1-sinx) (1+sinx) is an identity
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Throughout this problem, I'm going to only alter the left side. The right side will stay the same the entire time.

Factor out the GCF cos^2(x)

Pythagorean Identity: sin^2(x) + cos^2(x) = 1

Variation of the pythagorean identity

Difference of squares rule

The identity has been confirmed as we get the same expression on both sides.

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