How do I find the zeros of $\sin(z)$, where $z$ is a complex number?
I know that along the real line we have zeros along $k\pi$, where $k$ is an integer. But what about the rest of the plane? The taylor series: $$ \sum_{n=0}^{\infty}(-1)^n \dfrac{z^{2n+1}}{(2n+1)!}, $$ doesn't really tell me that much.
How do I find the other zeros?