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

Help please.

I have the equation tanh(X) = T . e^(*j*f)

tanh - is hyperbolic tang.

X is complex number X = a + *j*b

T.e^(*j*f) - 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*.

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

Have you tried $\displaystyle \tanh X=\frac{e^X-e^{-X}}{e^X+e^{-X}}=\ldots$ ?

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

Quote:

Originally Posted by

**FernandoRevilla** Have you tried $\displaystyle \tanh X=\frac{e^X-e^{-X}}{e^X+e^{-X}}=\ldots$ ?

Yes, but the result is very complex. And is not clear. **a** and *b* are rows.

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