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Equivalent of tan(t) near Pi/2

  1. Nov 4, 2009 #1
    1. The problem statement, all variables and given/known data

    How can you get an equivalent of tan(t) in the neighborhood of Pi/2?

    2. Relevant equations

    the answer is 1/(Pi/2-t)

    3. The attempt at a solution

    I tryed to use a Taylor's expansion but the problem is that tan(Pi/2) does not exist.

    Thanks for your help!
  2. jcsd
  3. Nov 4, 2009 #2
    How about doing a Taylor expansion for tan^(-1) t instead?
  4. Nov 4, 2009 #3


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    cot(pi/2) exists. And tan(x)=1/cot(x).
  5. Nov 4, 2009 #4
    thanks guys
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