If you have a lot of time on your hands, here are some infinite series you can use to find the values of common trigonometric functions.

x^{3}x^{5}x^{7}sin x = x - ---- + ---- - ---- + ... 3! 5! 7! x^{2}x^{4}x^{6}cos x = 1 - ---- + ---- - ---- + ... 2! 4! 6! 1 2 17 tan x = x + - x^{3}+ -- x^{5}+ --- x^{7}+ ... 3 15 315

Yeah, I'm sure the terms for tan are obvious to you, too, but just in case, the n-th term is

2^{2n}(2^{2n}- 1 ) B_{n}---------------- x^{2n-1}(2n)!

Where `B _{n}` is Bernoulli's Number.

*Back to the Mathematics Metanode.*