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Thread: true or not ??

  1. #1
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    true or not ??

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

    $\displaystyle \overline {e^ {i\theta}} = cos\theta - isin\theta = cos(-\theta) + isin (-\theta ) = {e^ {-i\theta}} $
    2)$\displaystyle \mid {e^ { i\theta}}\mid =1 $
    proof:
    $\displaystyle \mid {e^ { i\theta}}\mid =\sqrt{{cos^2}\theta +{sin^2}\theta} = \sqrt {1}=1 $
    Last edited by Plato; Jul 7th 2009 at 11:12 AM. 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 $\displaystyle x^{-i\theta} $ instead of $\displaystyle x^-i \theta $.
    Last edited by Plato; Jul 7th 2009 at 11:41 AM.
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