# Hyperbolic sine

1. Mar 11, 2007

### NeoDevin

I'm trying to solve a problem in E&M, and I got an equation which depends on p and q, which I can solve provided I can write $sinh(\sqrt{p^2 + k^2} \pi)$ as a product of a function of p, with a function of k. If I can do that, I can solve the problem, but I don't know how to do that part (or if it's even possible). Any ideas?

2. Mar 11, 2007

### StatMechGuy

I would try writing the Taylor expansion of sinh and see if that gets you anywhere. However, I don't think you can split it up like that...

3. Mar 12, 2007

### dextercioby

Most likely it's a transcendental equation (since sinh is a transcendental function) that can't be solved analytically... Sad situation.

4. Mar 12, 2007

### Meir Achuz

I think if you look at an earlier stge of the problem, you may be able to separate there.