Sketching the graph without software

Question

How to sketch the graph $|y|=\frac{|sin(x)|}{sin(x)}$?

I tried myself and have got this result:

Is this correct? I can't check it on Desmos, it says that graph has unresolved detail.

Answer 1

As $|y|\ge0$, the equation has the two solutions $y=\pm1$ for $x\in(2k\pi,\pi+2k\pi)$.