Match List - I with List - II.
| List - I Functions |
List - II Range |
||
| (A) | cosec-1x | (I) | $(0, \pi)$ |
| (B) | sec-1x | (II) | $\left[-\frac{\pi}{2}, \frac{\pi}{2}\right] - 0$ |
| (C) | tan-1x | (III) | $\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$ |
| (D) | cot-1x | (IV) | $[0 - \pi] - \{\frac{\pi}{2}\}$ |
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 3
| Functions | Respective Range | |
| (A) | cosec-1x | $\left[-\frac{\pi}{2}, \frac{\pi}{2}\right] - 0$ → (II) |
| (B) | sec-1x | $[0 - \pi] - \{\frac{\pi}{2}\}$ → (IV) |
| (C) | tan-1x | $\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$ → (III) |
| (D) | cot-1x | $(0, \pi)$ → (I) |