Question

This is a cool identity to know.\[\left|\frac{e^{2i\theta}-2e^{i\theta}-1}{e^{2i\theta}+2e^{i\theta}-1}\right|=1\]Shamelessly taken from here: http://math.stackexchange.com/questions/130561/prove-or-disprove-that-left-frace2i-theta-2ei-theta-1e2i-theta .

Answer 1

There has to be a list of these. Mathematicians have OCD about compiling such things. There HAS to be.

Answer 2

My bad. I thought that said \(\pi\) instead of \(\theta\)