They are mathematical functions.
Most people are introduced to them as trigonometric functions. In the context of a right angled triangle, with one of its angles being theta,
Cos(theta) = The ratio of the lengths of the adjacent side and the hypotenuse.
Sin(theta) = The ratio of the lengths of the opposite side and the hypotenuse.
More advanced mathematicians will know them simply as the following infinite series:
Cos(theta) = 1 - x2/2! + x4/4! - x6/6! + ...
and
Sin(theta) = x/1! - x3/3! + x5/5! - x7/7! + ...
n! = 1*2*3* ... *n
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