Question #335182

Which of the following is an equivalent expression to sin θ − (sin θ)(cos2θ)?


Expert's answer

sinθ(sinθ)(cos2θ)=sinθ(1cos2θ)\sin \theta-(\sin\theta)(\cos^2\theta)=\sin \theta(1-\cos^2\theta)

=sinθ(sin2θ)=sin3θ=\sin \theta(\sin^2 \theta)=\sin^3 \theta

sinθ(sinθ)(cos2θ)=sin3θ\sin \theta-(\sin\theta)(\cos^2\theta)=\sin^3 \theta


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