JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Application +4 | -1

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}

View answer and explanation

Correct option: A

- \frac{1}{2}\left( {\sqrt 3 - i} \right)

Option A (

- \frac{1}{2}\left( {\sqrt 3 - i} \right)

) is correct because it is the simplified form of the given complex number expression after applying De Moivre's theorem.

More Questions from COMPLEX NUMBERS

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\left|\sum\limits_{r=1}^n z_r\right|

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\alpha, \beta

\gamma

|\alpha-\beta|

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