Question

The range of $\sec^{-1} x$ is

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

Answer 1

Answer: (D)

The range of $\sec^{-1} \,x$
$=[0, \pi] - \left\{\frac{\pi}{2}\right\}$

$y = \sec^{-1} \,x$