Hi,

I've came accross this question in another forum and have no idea (yet) on how to get it ^^

Prove that :

$\displaystyle \prod_{k=0}^{2p-1} \frac{\cos\left(\tfrac \mu 2-\tfrac{k\pi}{2p}\right)}{\cos\left(\mu-\tfrac{k\pi}{2p}\right)}=\frac{\sin(p\mu)}{\sin(2p \mu)}$

I don't know what to use, it's university level, that's why I put it in calculus :D

(I don't know if it's possible, but no induction...that would not be funny :p)