Answer
$a.$
Intercepts: $(-\displaystyle \frac{\pi}{2},0),(\frac{\pi}{2},0),$ and $(0,1).$
$b.$
Domain: $[-\pi,\pi]$
Range: $[-1,1]$
$c.$
Increases on $[-\pi,0]$
Decreases on: $[0,\pi]$
$d.$
The graph has $y$ -axis symmetry, so the function is even.
Work Step by Step
See image(s).