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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Analyzing +4 | -1
The value of ∑k=1n−1(n−k)cos⁡2kπn(n≥3\sum\limits_{{k=1}}^{n-1}(n-k) \cos \frac{2 k \pi}{n} \quad(n \geq 3 is an integer)
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Correct option: A
−n2-\frac{n}{2}
Option A (-n/2) is correct because the sum can be simplified using trigonometric series identities.

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