The value of _ k =1 ^ 6 ( 2 k 7 -i 2 k 7 ) is k i , then value of k is
Mathematics · JEE Main · NTA Exams — Complex Numbers and Quadratic Equations
The value of \(\sum_{\mathrm{k}=1}^{6}\left(\sin \frac{2 \pi \mathrm{k}}{7}-i \cos \frac{2 \pi \mathrm{k}}{7}\right)\) is ki, then value of k is
- \(1\)
- \(-1\)
- \(0\)
- \(i\)
Answer
(A) 1
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