If $a = \cos \theta + i\sin \theta $, then $\frac{{1 + a}}{{1 - a}}$ is equal to

$i\;{\rm{cosec}}\frac{\theta }{2}$

JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1

a = \cos \theta + i\sin \theta

, then

\frac{{1 + a}}{{1 - a}}

is equal to

View answer and explanation

Correct option: A

i\cot \frac{\theta }{2}

Option A (

i\cot \frac{\theta }{2}

) is correct because it is the simplified form of the given expression using trigonometric identities.

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