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Arelation in complex analysis

  1. Sep 23, 2009 #1
    is this relashion true? or false?
    if it is true how can I proof it?
    (-i)^(-m) = cos((m*pi)/2)+i*sin((m*pi)/2)
     
  2. jcsd
  3. Sep 23, 2009 #2
    Perhaps try showing the left hand side is periodic. Then I think this would mean that you would only have to work out a finite number of cases.
     
  4. Sep 23, 2009 #3

    mathman

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    -i=exp(-i(pi/2))
    Therefore (-i)^(-m)=exp(i(m*pi/2))
    Now apply Euler's identity.
     
  5. Sep 24, 2009 #4
    thank u very much
     
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