CUET Preparation Today
Given $\cos^{-1} x$, where $x \in [-1, 0]$. Write its range. |
$[0, \pi]$ $[\frac{\pi}{2}, \pi]$ $[0, \frac{\pi}{2}]$ $[-\frac{\pi}{2}, 0]$ |
$[\frac{\pi}{2}, \pi]$ |
The correct answer is Option (2) → $[\frac{\pi}{2}, \pi]$ x∈[−1,0] We know:
Also, $\cos^{-1}x$ is decreasing in its domain. Therefore, the range is:$[\frac{\pi}{2}, \pi]$ |
