$\sec h^{-1}\left(\frac{1}{2}\right)-\operatorname{cosec} h^{-1}\left(\frac{3}{4}\right)$ is equal to

  • A
    $\log _e(3(2+\sqrt{3}))$
  • B
    $\log _e\left(\frac{1+\sqrt{3}}{3}\right)$
  • C
    $\log _e\left(\frac{2+\sqrt{3}}{3}\right)$
  • D
    $\log _e\left(\frac{2-\sqrt{3}}{3}\right)$

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