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Math Help - Short question about trigonometry notation

  1. #1
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    Short question about trigonometry notation

    I attatched a file but the problem to solve was to set z+\overline{z}=1 in a trigonometry notation
    did I do it right?

    Extra question: (another problem) the next problem is to set z-\overline{z}=1 in a trigonometry notation if someone could give me a hint how to solve that.
    Attached Thumbnails Attached Thumbnails Short question about trigonometry notation-tringometry.jpg  
    Last edited by hlolli; April 18th 2009 at 04:28 PM.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by hlolli View Post
    I attatched a file but the problem to solve was to set z+\overline{z}=1 in a trigonometry notation
    did I do it right?

    Extra question: (another problem) the next problem is to set z-\overline{z}=1 in a trigonometry notation if someone could give me a hint how to solve that.
    Put z=re^{i\theta} where r=|z| and \cos(\theta)=\text{re}(z)/|z| and \sin(\theta)=\text{im}(z)/|z|, then:

    z+\overline{z}=re^{i\theta} + re^{-i\theta}=2r\cos(\theta)

    or:

    z+\overline{z}=2|z|\cos(\text{arg}(z))

    CB
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  3. #3
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    thanks for this, but can you tell me in words how I should write the picture for
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