The value of $\sin^{2}\left(\frac{\pi}{8}\right) = $

  • A
    $\frac{\sqrt{2}+1}{2\sqrt{2}}$
  • B
    $\frac{\sqrt{5}+1}{2\sqrt{2}}$
  • C
    $\frac{\sqrt{5}-1}{2\sqrt{2}}$
  • D
    $\frac{\sqrt{2}-1}{2\sqrt{2}}$

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