The value of $\sin \frac{\pi }{{14}}\sin \frac{{3\pi }}{{14}}\sin \frac{{5\pi }}{{14}}\sin \frac{{7\pi }}{{14}}\sin \frac{{9\pi }}{{14}}\sin \frac{{11\pi }}{{14}}\sin \frac{{13\pi }}{{14}}$ is equal to

  • [IIT 1991]
  • A

    $\frac{1}{8}$

  • B

    $\frac{1}{{16}}$

  • C

    $\frac{1}{{32}}$

  • D

    $\frac{1}{{64}}$

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