Trigonometry

Search good trigonometry books/articles.

Special interest points: Computation of sin, cos, tan etc. and the theory behind.

DOMO AREGATO GOSAIMASH

Computation of trigonometric functions is almost always done using look-up tables and some sort of interpolation. Unless you're on some very very low-memory system, it's going to be a lot faster than the Taylor series or any other series expansion.