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There are a number of different ways, depending on (a) the circumstances and (b) your mathematical sophistication.

The answer for a school student is likely to be based on a right angled triangle. At that level of knowledge, the sine of one of the acute angles is defined as the ratio of the opposite side to the hypotenuse.

On the other hand, the answer from a pure mathematician may well be

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

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Q: How do you find sine in math?
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