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 ExamsComplex 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. \(1\)
  2. \(-1\)
  3. \(0\)
  4. \(i\)

Answer

(A) 1

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