Question

Which of the following is the principal value branch of $cosec^{-1} x$?

• A. $ \left(\frac{-\pi}{2}, \frac{\pi }{2}\right) $
• B. $(0, \pi)- \{\frac{\pi}{2}\}$
• C. $ \left[\frac{-\pi}{2}, \frac{\pi }{2}\right] $
• D. $ \left[\frac{-\pi}{2}, \frac{\pi }{2}\right] -\{0\}$

Answer 1

Answer: (D)

Principal value branch of $cosec^{-1}x$ is $\left[\frac{-\pi}{2}, \frac{\pi }{2}\right] - \left\{0\right\}$