For integer $$n$$, $$\left( \cos \theta + i \sin \theta \right)^n = \cos (n\theta) + i \sin (n\theta)$$.
Also holds for $$z^n = |z|^n \left( \cos (n\theta) + i \sin (n\theta) \right)$$.
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CAT Formulas
Complex Numbers
De Moivre's Theorem
For integer $$n$$, $$\left( \cos \theta + i \sin \theta \right)^n = \cos (n\theta) + i \sin (n\theta)$$.
Also holds for $$z^n = |z|^n \left( \cos (n\theta) + i \sin (n\theta) \right)$$.
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