The range of $\cos^{-1}(x)$ is

Question

Accepted Answer

A. $[0, \pi]$

By the standard principal-value convention, $\cos^{-1}$ returns angles in $[0, \pi]$ — the interval where cosine is monotonically decreasing and hits every value in $[-1,1]$ exactly once.
**Option A is the range of $\sin^{-1}$ and $	an^{-1}$, not $\cos^{-1}$.**

Answer

$\mathbb{R}$

Answer

$[-	frac{\pi}{2}, 	frac{\pi}{2}]$

Answer

$(-\pi, \pi)$

The range of $\cos^{-1}(x)$ is

Keep practising Unit 1A3: Function Composition and Inverses