JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Application +4 | -1

The value of

\sum\limits_{k=1}^{10}\left(\sin \frac{2 k \pi}{11}+i \cos \frac{2 k \pi}{11}\right)(

where

i=\sqrt{-1})

View answer and explanation

Correct option: D

-i

Option D (-i) is correct because the sum simplifies to -i using the properties of complex numbers and roots of unity.

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