DeMoivere’s Theorem

De Moivre's Theorem states that for a complex number $z=r(\cos {\theta }+i\sin {\theta })$ and integer $n$, then

$[r(\cos {\theta }+i\sin {\theta })]^{n}=r^{n}(\cos {(n\theta )}+i\sin {(n\theta }))$.

Resources

• De Moivre’s Theorem. Written notes created by Professor Esparza, UTSA.
• Application of DeMoivre's Theorem. Produced by Professor Zachary Sharon, UTSA.
• De Moivre's Theorem and Powers of Complex Numbers, Mathematics LibreTexts