Question

Verify the identity algebraically. Start on one side of the equation and manipulate using techniques to arrive at the other side

sin^2 − sin^4 = cos^2 − cos^4

Answer 1

Explanation:

sin^2 − sin^4 = cos^2 − cos^4

sin^2 (1-sin^2) = cos^2 − cos^4

sin^2 (cos^2) = cos^2 − cos^4

(1-cos^2) (cos^2) = cos^2 − cos^4

cos^2 − cos^4 = cos^2 − cos^4

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