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Superposed_Cat
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Hi I was wondering how calculators calculate trigonometric functions. Do they use taylor polynomials(if so what order) or what? any help appreciated.
And range reduction algorithms combined with minimax polynomials are even faster.SteamKing said:They use a method called CORDIC, which is much faster than evaluating Taylor polynomials.
Calculators use a series of mathematical formulas and algorithms to calculate trigonometric functions. These formulas are based on the ratios of the sides of a right triangle and involve the use of basic operations such as addition, subtraction, multiplication, and division.
Yes, there are different methods and algorithms used by different calculators to calculate trigonometric functions. Some calculators use Taylor series or Maclaurin series to approximate the values of trigonometric functions, while others use lookup tables or specialized hardware to perform these calculations.
The accuracy of trigonometric function calculations performed by calculators depends on the method or algorithm used. Generally, most calculators provide accurate results up to a certain number of decimal places, but there may be slight variations due to rounding errors or limitations of the hardware used.
Yes, some calculators have the ability to calculate trigonometric functions for non-right triangles. This is done by using the law of cosines or the law of sines to determine the missing sides or angles of the triangle, and then applying the appropriate trigonometric function formula.
No, calculators use different methods to calculate inverse trigonometric functions. Some use power series expansion, while others use iterative methods or special algorithms. However, the end result is the same - to find the angle whose trigonometric function value is known.