## Precalculus (6th Edition) Blitzer

$(-\infty,-1]\cup[1,\infty)$
From the graph of $y=csc(x)$, we can determine the range by examining the possible y-values of the function. As $y=csc(x)=\frac{1}{sin(x)}$ and $sin(x)\in [-1,1]$, we can find the range of $y=csc(x)$ as $(-\infty,-1]\cup[1,\infty)$