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What is demovries theorem

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What is demovries theorem
  • 1 answers

Gaurav Seth 3 years, 11 months ago

De moivre’s Formula

Mathematical Statement: For any real number x, we have

(cos x + i sin x)^n = cos(nx) + i sin(nx)OR {tex}(e^{i \theta})^n = e^{in \theta}(eiθ)n=einθ {/tex}Where n is a positive integer and “ i “ is the imaginary part, and i = √(-1). Also assume i2 = -1.

Remark: Result can be shown true when n is a negative integer and even

n is a rational number.

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