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Question

C | Secure https://www.mathxl.com/Student/PlayerHomew I MAT 166-002 SP 2018 Homework: 6.1 HW core: 0 of 1 pt Verify the identity. cos, x-sin. x = (cos x-sin x)(1 + cos xsin x) Choose the sequence of steps below that verifies the identity A. cos 3 x-sin 3 x = (cos x-sin x) (cos 2 x + cos x sin x + sin 2 x) = (cos x-sin x)(1 + cos x sin x) cos 3 x-sin 3 x = (cos x + sin x) (cos 2 x-cos x sin x + sin 2 x =(cos x-sin x)(1 + cos xsimx) c. cos 3 x-sin 3x=(cosx+ sin x)(cos2x-2 cos xsin x+sin 2 x = (cos x-sin x)(1 + cos x sin x) OD. cos3 x- sin3 x (cos x- sin x(cos2 x +2 cos xsin x+ sin 2 x) = (cos x-sin x)(1 + cos x sin x)

Explanation / Answer

cos3x-sin3x = (cos x -sinx)(cos2x+sin x cos x +sin2x ) = (cos x -sin x)(cos2x+sin2x+sin x cos x)

     = (cos x -sin x)(1+sin x cos x )

Correct option is A

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