Sines, Cosines and Roots of Unity
1. Introduction Today’s post will be more elementary in nature, as it is something that I first thought of many years ago but haven’t gotten around to sharing until now. Nevertheless, I think it is good to know and may come off as surprising to those that are not familiar with it. It has to do with the properties of a special set of complex numbers: the roots of unity. We can extract lots of information from these numbers; today’s…