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Homework Help: Help: could someone walk me through the maclaurin series of tan(z) [complex analysis]

  1. May 20, 2007 #1
    1. The problem statement, all variables and given/known data
    By using an indirect method of dividing a taylor series to find the Maclaurin series of tan(z)

    2. Relevant equations

    z = x+iy
    http://img142.imageshack.us/img142/9633/a1695fb96e78ca8dcb08788mi1.png [Broken]

    3. The attempt at a solution

    well I understand that we need to use the cauchy product:

    cos (z) . tan(z) = sin(z)

    we multiply a general case for coz z 's expansion x a polynomial series of sum(0,infinity) anZ^n

    how do we end up with tan z = z + z^3/3 + 2z^5/15 + ....
    Last edited by a moderator: May 2, 2017
  2. jcsd
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