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Math Help - true or not ??

  1. #1
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    true or not ??

    show that :
    1)  \overline {e^ { i\theta}} = {e^  {-i\theta}}
    proof:

     \overline {e^  {i\theta}} =  cos\theta - isin\theta =  cos(-\theta) + isin  (-\theta ) = {e^  {-i\theta}}
    2)   \mid {e^ { i\theta}}\mid =1
    proof:
      \mid {e^ { i\theta}}\mid =\sqrt{{cos^2}\theta +{sin^2}\theta} = \sqrt {1}=1
    Last edited by Plato; July 7th 2009 at 12:12 PM. Reason: Fix LaTeX
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  2. #2
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    Yes that works.
    BTW: If you have more than one character in an exponent, set off the whole exponent in braces.
    [tex]x^{-i\theta}[/tex] gives  x^{-i\theta} instead of  x^-i \theta .
    Last edited by Plato; July 7th 2009 at 12:41 PM.
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