How do calculators compute sine, cosine, tangent and roots?

[KingNothing]

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.

 

[Muzza]

http://www.dspguru.com/info/faqs/cordic.htm

http://www.sosmath.com/calculus/diff/der07/der07.html

http://planetmath.org/encyclopedia/TaylorSeries.html

 

[recon]

Actually, figuring out how cosine is calculated is what I'm trying to do for a project of mine. It's in the thread called 'Ideas for Math/Computer Project'.