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It is a function.

In elementary mathematics it is defined as a trigonometric function: the ratio of the lengths of the opposite side to the hypotenuse in a right angled triangle.

However, in more advanced mathematics it is defined by the infinite series:

sin(x) = x - x3/3! + x5/5! - x7/7! + ... where x is measured in radians.

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Q: What is sin in a math problem?
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