Establish the identity.cos(3x) = cos3 x - 3 sin2 x cos x

What will be an ideal response?


cos(3x) = cos(2x + x) = cos(2x) cos x - sin(2x) sin x = (cos2 x - sin2 x) cos x - 2 sin x cos x sin x =  - sin2 x cos x - 2 sin2 x cos x = cos3 x - 3 sin2 x cos x.

Mathematics

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