Answer
The period is $2$
Work Step by Step
To find the period, one must first find $b$ in the base equation of cosecant functions $f(x)=a\cdot $csc$(b(x-c))+d$, then use $\frac{2\pi}{b}$. In this case, $b$ is $\pi$, so the period is $\frac{2\pi}{\pi}=2$