SOLUTION: Please verify the following identity: cos^4 x + sin^2 x = cos^2 x + sin^4 x

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Question 765165: Please verify the following identity:
cos^4 x + sin^2 x = cos^2 x + sin^4 x
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!

Rewrite identity %28cos%28x%29%29%5E4+-+%28sin%28x+%29%29%5E4=+%28cos%28x%29%29%5E2+-+%28sin%28x%29%29%5E2

use a%5E2-b%5E2=%28a-b%29%28a%2Bb%29 and %28cos%28x%29%29%5E2+%2B%28sin%28x%29%29%5E2=1


%28cos%28x%29%29%5E2-+%28sin%28x+%29%29%5E2=+%28cos%28x%29%29%5E2+-+%28sin%28x%29%29%5E2 correct identity