CUET · MATHS · PYQ PAPER 2023
A. The domain of \(\sin ^{-1} x\) is \(\left[-\frac{\pi}{2}, \frac{\pi}{2}\right]\)
B. The range of \(\operatorname{cosec}^{-1} x\) is \(\left[-\frac{\pi}{2}, \frac{\pi}{2}\right]-\{0\}\)
C. The domain of \(\sec ^{-1} x\) is \([0, \pi]-\left\{\frac{\pi}{2}\right\}\)
D. The range of \(\cot ^{-1} x\) is \((0, \pi)\)
E. The range of \(\tan ^{-1} x\) is \(\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)\)
Choose the correct answer from the options given below:
- A A, B, C only
- B B, C only
- C B, D, E only
- D D, E only
Answer & Solution
Correct Answer
(C) B, D, E only
Step-by-step Solution
Detailed explanation
A. Domain of \( \sin^{-1} x \) is \( [-1, 1] \). Statement is incorrect. B. Range of \( \operatorname{cosec}^{-1} x \) is \( \left[-\frac{\pi}{2}, \frac{\pi}{2}\right]-\{0\} \). Statement is correct. C. Domain of \( \sec^{-1} x \) is \( (-\infty, -1] \cup [1, \infty) \).…
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