Answer
We can see a sketch of the three graphs below.
Work Step by Step
$y = arcsin ~x$
The domain is $[-1,1]$
The range is $[-\frac{\pi}{2},\frac{\pi}{2}]$
Three points on the graph are indicated:
$(-1,-\frac{\pi}{2})$
$(0,0)$
$(1,\frac{\pi}{2})$
$y = arccos ~x$
The domain is $[-1,1]$
The range is $[0, \pi]$
Three points on the graph are indicated:
$(-1,\pi)$
$(0,\frac{\pi}{2})$
$(1,0)$
$y = arctan ~x$
The domain is $(-\infty,\infty)$
The range is $(-\frac{\pi}{2}\frac{\pi}{2})$
Three points on the graph are indicated:
$(-1,-\frac{\pi}{4})$
$(0,0)$
$(1,\frac{\pi}{4})$
