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Quick question on Euler's Theorem

  1. Dec 2, 2007 #1
    Ok, in my diffeq book, we're doing work on getting eigenvectors to complex eigenvalues.

    anyway the author of the book only mentions Euler's Theorem as: [​IMG][/PLAIN] [Broken]
    and so he perfers to work with [​IMG][/PLAIN] [Broken] when the roots are [​IMG][/PLAIN] [Broken]

    So my question:

    What is this called then?: [​IMG][/PLAIN] [Broken]
    and can i use in place for [​IMG][/PLAIN] [Broken] and still call it Euler's Theorem?
    Last edited by a moderator: Apr 23, 2017 at 9:14 AM
  2. jcsd
  3. Dec 2, 2007 #2


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    It's called "Euler's theorem with -t substituted for t after applying the identity sin(-t)=-sin(t)". Does it really need a name?
  4. Dec 4, 2007 #3
    Thx for that. I was sorta expecting some kind of identity to do that.
    Last edited: Dec 4, 2007
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