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10 cards from this deck
Expanding (cosheta+isinheta)n(cos heta + i sin heta)^n(cosheta+isinheta)n
(cosheta+isinheta)n=cos(nheta)+isin(nheta)(cos heta + i sin heta)^n = cos(n heta) + isin(n heta)(cosheta+isinheta)n=cos(nheta)+isin(nheta)
Equate real and imaginary parts
cos2θ−sin2θ\cos^2 \theta - \sin^2 \thetacos2θ−sin2θ
2cosθsinθ2\cos \theta \sin \theta2cosθsinθ
Solving trigonometric equations
Finding roots of complex numbers
2,2i,−2,−2i2, 2i, -2, -2i2,2i,−2,−2i
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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