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Tan(pi/2)=complex infinity why?

  1. Jul 17, 2011 #1
    1. The problem statement, all variables and given/known data
    Hi,

    I have just now come to the realization that tan(pi/2) is not infinity but complex infinity. I was wondering why and can't seem to find the answer. I was told all through high school that tan(pi/2)=infinity or undefined but not complex infinity.

    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Jul 17, 2011 #2

    gb7nash

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    It depends what number system you're working in.

    Real numbers: undefined

    Extended real numbers: infinity

    Riemann sphere: infinity
     
  4. Jul 17, 2011 #3
    Interesting, thanks!
     
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