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Math Help - complex variables

  1. #1
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    complex variables

    Prove that

    \sumsin(k \theta)= [sin(n \theta/2)sin((n+1) \theta/2)]/sin \theta/2)
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  2. #2
    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by LCopper2010 View Post
    Prove that

    \sumsin(k \theta)= [sin(n \theta/2)sin((n+1) \theta/2)]/sin \theta/2)
    Easy way? \sum_{k}\sin(k\theta)=\sum_{k}\Im\left(e^{ik\theta  }\right)
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  3. #3
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    more help

    I still don't really understand...could you elaborate a bit? Thanks!
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  4. #4
    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by LCopper2010 View Post
    I still don't really understand...could you elaborate a bit? Thanks!
    I'm not going to tell you the answer, but maybe a helpful hint is in order. Remember the geometric sum formula.
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