Asked by k
Provide the identity. Show all proper work. 2 sin xcos^3x + 2 sin^3 xcosx = sin(2x)
Answers
Answered by
Bosnian
2 sin x ∙ cos³x + 2 sin³x ∙ cosx =
2 sin x ∙ cos x ∙ cos²x + 2 sin x ∙ cos x ∙ sin² x =
2 sin x ∙ cos x ∙ ( cos²x + sin² x ) =
2 sin x ∙ cos x ∙ 1 = 2 sin x ∙ cos x = sin 2x
2 sin x ∙ cos x ∙ cos²x + 2 sin x ∙ cos x ∙ sin² x =
2 sin x ∙ cos x ∙ ( cos²x + sin² x ) =
2 sin x ∙ cos x ∙ 1 = 2 sin x ∙ cos x = sin 2x
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