JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1

e^{i\left(2 k \operatorname{cot}^{-1} m\right)}\left(\frac{m i+1}{m i-1}\right)^k=\ldots \ldots

where

k \in Z, m>0

View answer and explanation

Correct option: B

Option B (1) is correct because the expression simplifies to 1 using Euler's formula and trigonometric identities.

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