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Math Formulas > Complex Number > De Moivre's Theorem

De Moivre's Theorem

De Moivre's Theorem states that for any complex number as given below:
z = r ∙ cosθ + i ∙ r ∙ sinθ

the following statement is true:
zn = rn (cosθ + i ∙ sin(nθ)), where n is an integer.

If the imaginary part of the complex number is equal to zero or i = 0, we have:
z = r ∙ cosθ and zn = rn (cosθ)


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