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With a scientific calculator. The actual calculation is somewhat complicated, so you wouldn't normally want to do it yourself. However, if you really want to know it, the formula is the following infinite series:

sin(x) = x - x3/3! + x5/5! - x7/7! + x9/9! ...

The angle x has to be in radians (to convert degrees to radians, multiply by pi/180), and the exclamation is the factorial function, for example, 5! = 1x2x3x4x5.

You add as many terms as required to get the desired accuracy.

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