Prove De Moivre's theorem,

MATHEMATICS · Subjective · IB Diploma Programme · Mathematics: Analysis and Approaches · Number and Algebra · Number and Algebra

Problem

Prove De Moivre's theorem, (cos⁡θ+isin⁡θ)n=cos⁡nθ+isin⁡nθ(\cos \theta + i \sin \theta)^n = \cos n\theta + i \sin n\theta , for every positive integer nn .

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