If and are two real numbers and

MATHEMATICS · Subjective · CBSE · Mathematics · Complex Numbers and Quadratic Equations · Complex Numbers and Quadratic Equations

Problem

If

m

and

x

are two real numbers and

i=\sqrt{-1}

, prove that

e^{2mi\cot^{-1}x}\left(\frac{xi+1}{xi-1}\right)^m=1.

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