# Help about tanh(X)=T . e^(jf)

• Jul 18th 2011, 11:34 PM
Willding

I have the equation tanh(X) = T . e^(jf)

tanh - is hyperbolic tang.

X is complex number X = a + jb

T.e^(jf) - is a known complex number = T.cos(f)+j.T.sin(f)

I need clear decision for a=? and b=?
a - real part
b - imaginary part

only like function of T anf f.
• Jul 19th 2011, 12:15 AM
FernandoRevilla
Re: Help about tanh(X)=T . e^(jf)
Have you tried $\tanh X=\frac{e^X-e^{-X}}{e^X+e^{-X}}=\ldots$ ?
• Jul 20th 2011, 07:16 AM
Willding
Re: Help about tanh(X)=T . e^(jf)
Quote:

Originally Posted by FernandoRevilla
Have you tried $\tanh X=\frac{e^X-e^{-X}}{e^X+e^{-X}}=\ldots$ ?

Yes, but the result is very complex. And is not clear. a and b are rows.
• Jul 20th 2011, 07:27 PM
FernandoRevilla
Re: Help about tanh(X)=T . e^(jf)
Quote:

Originally Posted by Willding
Yes, but the result is very complex. And is not clear. a and b are rows.

In the first post you said $X=a+j\;b$ is a complex number and now you say $a,b$ are rows. I don't understand. Could you reword the problem?