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

  1. #1
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    Help about tanh(X)=T . e^(jf)

    Help please.

    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.
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    Re: Help about tanh(X)=T . e^(jf)

    Have you tried \tanh X=\frac{e^X-e^{-X}}{e^X+e^{-X}}=\ldots ?
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    Re: Help about tanh(X)=T . e^(jf)

    Quote Originally Posted by FernandoRevilla View Post
    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.
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  4. #4
    MHF Contributor FernandoRevilla's Avatar
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    Re: Help about tanh(X)=T . e^(jf)

    Quote Originally Posted by Willding View Post
    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?
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