Which of these is NOT a principal value of any inverse trigonometric function at any input?

Explanation

1. 01

   Every principal branch lies inside $\left[-\frac{\pi}{2}, \pi\right]$.

2. 02

   $\frac{3\pi}{4} = \cos^{-1}\left(-\frac{1}{\sqrt{2}}\right)$, $-\frac{\pi}{4} = \sin^{-1}\left(-\frac{1}{\sqrt{2}}\right)$, $\frac{\pi}{2} = \cos^{-1} 0$; but $\frac{5\pi}{4} > \pi$.