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8 cards from this deck
Prove trigonometric identities
cos(3heta)+isin(3heta)cos(3 heta) + i sin(3 heta)cos(3heta)+isin(3heta)
Expand the left-hand side
Real with real, imaginary with imaginary
cos3heta−3coshetasin2hetacos^3 heta - 3 cos heta sin^2 hetacos3heta−3coshetasin2heta
3cos2hetasinheta−sin3heta3 cos^2 heta sin heta - sin^3 heta3cos2hetasinheta−sin3heta
cos3heta−3coshetasin2hetacos^3 heta - 3cos hetasin^2 hetacos3heta−3coshetasin2heta
3cos2hetasinheta−sin3heta3cos^2 hetasin heta - sin^3 heta3cos2hetasinheta−sin3heta
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