If $z = \cos \frac{\pi}{6} + i\sin \frac{\pi}{6}$,then:

  • A
    $|z| = 1, \arg z = \frac{\pi}{4}$
  • B
    $|z| = 1, \arg z = \frac{\pi}{6}$
  • C
    $|z| = \frac{\sqrt{3}}{2}, \arg z = \frac{5\pi}{24}$
  • D
    $|z| = \frac{\sqrt{3}}{2}, \arg z = \tan^{-1} \frac{1}{\sqrt{2}}$

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