Answer
$y = \frac{1}{2}~csc~(x-\frac{\pi}{2})$
We can see the graph below.
Work Step by Step
$y = \frac{1}{2}~csc~(x-\frac{\pi}{2})$
When $x = -\frac{\pi}{2}$, then $y = \frac{1}{2}~csc~(-\pi)$ (which is undefined)
When $x = 0$, then $y = \frac{1}{2}~csc~(-\frac{\pi}{2}) = -\frac{1}{2}$
When $x = \frac{\pi}{2}$, then $y = \frac{1}{2}~csc~0$ (which is undefined)
When $x = \pi$, then $y = \frac{1}{2}~csc~\frac{\pi}{2} = \frac{1}{2}$
When $x = \frac{3\pi}{2}$, then $y = \frac{1}{2}~csc~\pi$ (which is undefined)
We can see the graph below.
