Match each expression in List I with its principal value in List II.

Explanation

1. 01

   $\sin^{-1}\frac{\sqrt{3}}{2} = \frac{\pi}{3}$ and $\tan^{-1}\left(-\frac{1}{\sqrt{3}}\right) = -\frac{\pi}{6}$, on the branches around 0.

2. 02

   $\cos^{-1}\left(-\frac{1}{2}\right) = \frac{2\pi}{3}$ and $\cot^{-1}(-1) = \frac{3\pi}{4}$, in $(0, \pi)$.