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Homework answers / question archive / Verify the identity

Verify the identity. 1 - sin2x/cos2x = cos x - sin x/cos x + sin x Choose the sequence of steps below that verifies the identity. 1 - sin 2x/cos 2x = 1 - 2 sin x cos x/cos^2x - sin^2x = (cos^2x + sin^2x) - 2 sin x cos x/cos^2x = sin^2x = (cos x - sin x)(cos x - sin x)/(cos x + sin x)(cos x - sin x) = cos x - sin x/cos x + sin x

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