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How Do Calculators Calculate Trigonometric Functions?

April 26, 2017CALCULATE calculators functions trigonometric

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How Do Calculators Calculate Trigonometric Functions?

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How does your calculator quickly produce values of trigonometric functions? You might be surprised to learn that it does not use series or polynomial approximations, but rather the so-called CORDIC method. This paper will focus on the geometry of the CORDIC method, as originally developed by Volder in 1959. This algorithm is a wonderful application of sequences and will be demonstrated on the TI-86 graphing calculator. A rigorous convergence proof for the CORDIC method is also provided.