Trigonometry
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De Moivre's Theorem

Powers of complex numbers in trig form.

Formula

(cosθ+isinθ)n=cosnθ+isinnθ(\cos\theta + i\sin\theta)^n = \cos n\theta + i\sin n\theta

Variables

\thetaAngle
nPower

Did You Know?

De Moivre's theorem turns raising complex numbers to powers into simply multiplying angles.