How are numbers manipulated in a trigonometric function?

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Alright, I understand the definitions of the trigonometric functions, how it is a ratio between the lengths and hypotenuse. However, I wish to deepen my understanding how what goes on behind the scenes when I input sin(x degrees) into my calculator to get an output. How is the calculator able to get from this, e.g.sin(56), to that: 0.829 (3 s.f.)?

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Anonymous 0 Comments

There’s several useful ways to define trigonometric functions but if you’re looking for a simple one that helps you see the math under the hood:

Sin(x) = (e^(ix)-e^(-ix))/(2i), where “i” in this case is the imaginary unit i.

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