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8 questions from this quiz
Trigonometric identities
cos(3θ)+isin(3θ)\cos(3\theta) + i \sin(3\theta)cos(3θ)+isin(3θ)
Expand the left-hand side
Compare real with real, imaginary with imaginary
cos3θ−3cosθsin2θ\cos^3 \theta - 3 \cos \theta \sin^2 \thetacos3θ−3cosθsin2θ
3cos2θsinθ−sin3θ3 \cos^2 \theta \sin \theta - \sin^3 \theta3cos2θsinθ−sin3θ
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