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

JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

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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: C

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

The expression

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

is equal to

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

because it simplifies to this form using trigonometric identities and Euler's formula.

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