Calculating Sine, Cosine, Tangent & Roots

KingNothing
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Hi...I know what Sine, Cosine, and Tangent represent in math and how they are used...but I'm asking a different question. That question is: how are they calculated? That is, when I put, say Sine(10) into a calculator, how does it calculate that value?


Additionally, how are square roots, cube roots, and nth roots calculated?

I know properties like the nth root(x) = n^(1/n) but surely it doesn't actually multiply the numbers 1/n many times.
 
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