Calculating Sine, Cosine, Tangent & Roots

AI Thread Summary
Sine, cosine, and tangent values are typically calculated using methods such as Taylor series, CORDIC algorithms, or lookup tables in calculators. These methods allow for efficient computation of trigonometric functions without directly multiplying numbers repeatedly. For square roots and other roots, algorithms like the Newton-Raphson method or binary search are commonly employed, rather than straightforward exponentiation. Understanding these calculations is crucial for projects involving mathematical computations. Exploring resources like CORDIC and Taylor series can provide deeper insights into these processes.
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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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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'.
 
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