JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Medium

1 of 1

Application +4 | -1

e^{2 m i \cot ^{-1} p} \cdot\left(\frac{p i+1}{p i-1}\right)^m

is equal to

View answer and explanation

Correct option: B

Option B (1) is correct because by substituting

p = \cot \theta

and simplifying using trigonometric identities and Euler's formula, the expression equals 1.

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