Answer
a.
Domain:$ (-\infty, -1]\cup[1, \infty)$
Range:$[-\displaystyle \frac{\pi}{2},0)\cup(0,\frac{\pi}{2}]$
b.
Domain:$ (-\infty, \infty) $
Range:$ (0, \pi)$
c.
Domain:$ (-\infty, -1]\cup[1, \infty)$
Range:$ [0,\displaystyle \frac{\pi}{2})\cup(\frac{\pi}{2}\pi]$
Work Step by Step
See the table on page 703.
a.
$y=\csc^{-1}x$
Domain:$ (-\infty, -1]\cup[1, \infty)$
Range:$[-\displaystyle \frac{\pi}{2},0)\cup(0,\frac{\pi}{2}]$
b.
$y=\cot^{-1}x$
Domain:$ (-\infty, \infty) $
Range:$ (0, \pi)$
c.
$y=\sec^{-1}x$
Domain:$ (-\infty, -1]\cup[1, \infty)$
Range:$ [0,\displaystyle \frac{\pi}{2})\cup(\frac{\pi}{2}\pi]$
