Calculating Sine, Cosine, Tangent & Roots

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SUMMARY

The discussion focuses on the computational methods for calculating trigonometric functions such as Sine, Cosine, and Tangent, as well as the calculation of square roots, cube roots, and nth roots. Users express curiosity about the underlying algorithms, specifically referencing the CORDIC algorithm for trigonometric calculations. The conversation also highlights the Taylor Series as a mathematical tool for approximating these functions. The inquiry is driven by a project requirement to understand the calculation of cosine in detail.

PREREQUISITES
  • Understanding of trigonometric functions and their properties
  • Familiarity with the CORDIC algorithm for efficient computation
  • Knowledge of Taylor Series for function approximation
  • Basic concepts of numerical methods for root calculations
NEXT STEPS
  • Research the CORDIC algorithm for trigonometric function calculations
  • Study the Taylor Series and its application in approximating sine and cosine
  • Explore numerical methods for calculating square roots and higher-order roots
  • Investigate the implementation of these algorithms in programming languages like Python or C++
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Mathematicians, computer scientists, and software developers interested in numerical methods and algorithms for calculating trigonometric functions and 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.
 
Last edited:
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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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