A. The domain of $\sin ^{-1} x$ is $\left[-\frac{\pi}{2}, \frac{\pi}{2}\right]$
B. The range of $cosec^{-1} x$ 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:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) - B, D, E only
A. false, domain of $\sin^{-1}x$ is [-1, 1]
B. true
C. false, domain of $\sec^{-1}x$ is $R-(-1, 1)$
D. true
E. true