The set $\{x \in R: \cos 2x + 2 \cos^2 x = 2\}$ is equal to

  • A
    $\{2n\pi + \frac{\pi}{3}: n \in Z\}$
  • B
    $\{n\pi \pm \frac{\pi}{6}: n \in Z\}$
  • C
    $\{n\pi + \frac{\pi}{3}: n \in Z\}$
  • D
    $\{2n\pi - \frac{\pi}{3}: n \in Z\}$

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