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Finding singularities

  1. Apr 28, 2012 #1
    I need to find the locations of the singularity of f(z) = Log(2+tan(z)).

    So far I have looked at the function in its alternate form

    Log(2+tan(z)) = ln(abs(2+tan(z))) + i*Arg(2+tan(z))

    If I remember correctly the first part is simple and cannot equal zero.

    Now I think the second part is defined on the cut 0 to 2∏ which eliminates the negative imaginary axis.
  2. jcsd
  3. Apr 28, 2012 #2


    Staff: Mentor

    first determine what x makes log(x) a singularity then determine how x can be assigned that value by2+tan(z)
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