The complex function $\tan h(s)$ is analytic over a region of the imaginary axis of the complex s-plane if the following is $\text{TRUE}$ everywhere in the region for all integers $n$
- $Re(s)=0$
- $Im(s)\neq n\pi$
- $Im(s)\neq \frac{n\pi}{3}$
- $Im(s)\neq\frac{(2n+1)\pi}{2}$