Answer
The period is $1$
Work Step by Step
To find the period, one must first find $b$ in the base equation of tangent functions $f(x)=a\cdot $tan$(b(x-c))+d$, then use $\frac{\pi}{b}$. In this case, $b$ is $\pi$, so the period is $\frac{\pi}{\pi}=1$
