A simple way to pre-compute sin/cos tables

This is a kind of an old school trick, rarely useful nowadays, but it’s nonetheless interesting due to its simplicity and elegancy.
The main idea is about filling a table with pre-computed values of and within a certain interval, using infinitesimal rotations.We start to work in two dimensions with a clockwise rotation matrix:

For very small rotation angles thus we can expand our rotation matrix elements with a Taylor series around zero.
Ignoring all the non linear terms we get something like this:

Now we can generate our values on an interval recursively applying on a unit vector.

Supposing that we don’t have at hand any code or library that can compute for an arbitrary value of, we start with .

Yes, yet another blog

Hello World!

I thought about having a blog or some kind of personal web site since the first time I came to use The Almighty Internet.So please, bear with me if at the beginning I’m going to be a tad slow at filling it with new ramblings.
Thank you, and enjoy.