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Euler's Formula of Inverse Trig Functions

  1. Oct 23, 2008 #1
    Is there a clean exponential formula for inverse trig functions (arcsine, arccosine) like there is for sine and cosine?
  2. jcsd
  3. Oct 23, 2008 #2


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    Short answer … no! :redface:

    Long answer … noooooooo! :cry:

    You knew that didn't you? :smile:
  4. Oct 23, 2008 #3
    I figured as much. Mathematics is as cruel as she is beautiful.
  5. Oct 23, 2008 #4

    Ben Niehoff

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    You can write them with logarithms and square roots: first write the formula for, say, sin(z) in terms of exp(iz) and exp(-iz). Then solve for exp(iz) (it's a quadratic equation). Then take logarithms.
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