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Help rewriting an equation

  1. Nov 3, 2004 #1
    I am trying to rewrite -i arctan ix = arctanh x + c as
    e^it = cos t + i sin t

    I am having trouble rewriting
    sqrt[ 1 + i tan t / 1 - i tan t]

    as
    cos t + i sin t

    Is this possible or did I do something wrong?
    What do I multiply the sqrts by.
     
  2. jcsd
  3. Nov 3, 2004 #2

    Hurkyl

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    When one is lost, it often helps to rewrite all trig functions in terms of sine and cosine.
     
  4. Nov 3, 2004 #3
    How does that help here?
     
  5. Nov 4, 2004 #4
    I just need help with the algebra, if my substitutions are correct
     
  6. Nov 4, 2004 #5

    Hurkyl

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    Because it usually helps you see the necessary manipulations. Besides, the answer you seek is in terms of sines and cosines, so you'll have to do it sometime anyways.
     
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