The value of ( (1 + sin 2π/9 + i cos 2π/9)/(1 + sin 2π/9 - i cos… | JEE Main 2023 Mathematics PYQ | Jeeify

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MCQMediumJEE Main 2023 · 24 January, Shift 2Complex Numbers Basics

The value of $\left( \frac{1 + \sin \frac{2\pi}{9} + i \cos \frac{2\pi}{9}}{1 + \sin \frac{2\pi}{9} - i \cos \frac{2\pi}{9}} \right)^3$ is:

A
$-\frac{1}{2}(1 - i\sqrt{3})$
B
$\frac{1}{2}(1 - i\sqrt{3})$
C
$-\frac{1}{2}(\sqrt{3} - i)$
D
$\frac{1}{2}(\sqrt{3} + i)$

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