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De Moivre’s Theorem

De Moivre’s Theorem

A formula useful for finding powers and roots of complex numbers.

 

De Moivre's Theorem: [r(cosθ+isinθ)]^n = r^n(cosnθ+isinnθ), with examples for (1+i)^2 = 8-8i and i^(3/8) roots.

 

 

See also

Complex number formulas, polar form of a complex number