hyperbolic functions



Hello all,

I have some problems rewriting the following expression to the tanh function:

f:  y = (%e^(2*x)+1)/(%e^(2*x)-1)+%c;

I only know about the 'trick' to substitute an imaginary number and then use 
demoivre. However, I could not make maxima convert the equation above to tanh.
Is there another way to proceed here? Or is there now a more elegant way like 
using a default simplifying rule that uses hyperbolic functions?

Regards,
NB