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Math Help - [Complex Numbers] Inquiry about relationship

  1. #1
    Newbie XmathY's Avatar
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    Question [Complex Numbers] Inquiry about relationship

    Hi,


    I was not sure where to post this but apparently it had some kind of extended link to Euler's Theorem (although I do not know anything about it...) Feel free to move the post


    I'm trying to do this proof by induction about complex numbers and I'm stuck..
    I do not want to tell you exactly what it is because I wish to finish it myself. There is just this bit that I have never learnt and that I would like to understand..


    Could someone tell me how I can substitute one into another or if any relationship exists mathematically here :



    Thanks a lot in advance
    XmathY
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  2. #2
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    Re: [Complex Numbers] Inquiry about relationship

    Quote Originally Posted by XmathY View Post
    Hi,


    I was not sure where to post this but apparently it had some kind of extended link to Euler's Theorem (although I do not know anything about it...) Feel free to move the post


    I'm trying to do this proof by induction about complex numbers and I'm stuck..
    I do not want to tell you exactly what it is because I wish to finish it myself. There is just this bit that I have never learnt and that I would like to understand..


    Could someone tell me how I can substitute one into another or if any relationship exists mathematically here :



    Thanks a lot in advance
    XmathY
    Are you sure there aren't any i values inside each product?
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  3. #3
    Newbie XmathY's Avatar
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    Re: [Complex Numbers] Inquiry about relationship

    Quote Originally Posted by Prove It View Post
    Are you sure there aren't any i values inside each product?
    Wooops it's meant to be r instead of i *
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  4. #4
    Newbie XmathY's Avatar
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    Re: [Complex Numbers] Inquiry about relationship

    Sorry for the triple post, but is this correct :

    Original topic ===> [Complex Numbers] Inquiry about relationship

    Quote Originally Posted by XmathY
    * No sorry, the beginning is wrong, ignore that, it would be : ops:


    A = \prod_{2}^{r} 2sin(\frac{\pi(r-1)}{r}) and B = \prod_{2}^{r+1} 2sin(\frac{\pi(r)}{r+1})


    Are you saying that:


    B = 2A*\frac{sin(\frac{\pi(r-1)}{r+1})*sin(\frac{\pi(r-1)}{r+2})}{sin(\frac{\pi(r-1)}{2})} ?


    Thanks in advance :P
    XmathY
    Last edited by XmathY; April 22nd 2012 at 05:18 AM.
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