Question

\( \sin^{-1}[\sin(-600^\circ)] + \cot^{-1}(-\sqrt{3}) = \)

• A. \( \frac{\pi}{6} \)
• B. \( \frac{\pi}{4} \)
• C. \( \frac{7\pi}{6} \)
• D.

Hint:

To simplify \( \sin^{-1}[\sin(x)] \), always bring \( x \) into the range \( [-\frac{\pi}{2}, \frac{\pi}{2}] \). For \( \cot^{-1}(x) \), ensure the result lies in \( [0, \pi] \).