Solve the following $\tan^{-1} \sqrt{3} -sec^{-1} (-2)$:

Question

$$(A) \quad \pi \qquad (B) \quad -\frac{\pi}{3} \qquad (C) \quad \frac{\pi}{3} \qquad (D) \quad \frac{2\pi}{3} \qquad$$