1. ## [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 :

XmathY

2. ## Re: [Complex Numbers] Inquiry about relationship

Originally Posted by XmathY
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 :

XmathY
Are you sure there aren't any i values inside each product?

3. ## Re: [Complex Numbers] Inquiry about relationship

Originally Posted by Prove It
Are you sure there aren't any i values inside each product?
Wooops it's meant to be r instead of i *

4. ## Re: [Complex Numbers] Inquiry about relationship

Sorry for the triple post, but is this correct :

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

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

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

Are you saying that:

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