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.

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