Q50 / 160 · AP EAMCET 2017 (25 Apr Shift 2) · Mathematics

$\sum_{n=1}^{20}\left[\sin \left(\frac{2 n \pi}{21}\right)-i \cos \left(\frac{2 n \pi}{21}\right)\right]=$

  • A
    $1$
  • B
    $-1$
  • Correct answer
    C
    $i$
  • D
    $-i$

Hence, the correct answer is option: 'C'.

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