Applying Computer Algebra Systems in Approximating the Trigonometric Functions
Department of Mathematics, College of Natural Sciences, Cantho University, 3/2 Street, Cantho City, Vietnam
Department of Mathematics and Science, Holy Names University, 3500 Mountain Blvd., Oakland, CA 94619, USA
Author to whom correspondence should be addressed.
Received: 8 June 2018 / Revised: 9 July 2018 / Accepted: 12 July 2018 / Published: 14 July 2018
We propose numerical algorithms which can be integrated with modern computer algebra systems in a way that is easily implemented to approximate the sine and cosine functions with an arbitrary accuracy. Our approach is based on Taylor’s expansion about a point having a form of
, and being chosen such that it is closest to the argument. A full error analysis, which takes advantage of current computer algebra systems in approximating
with a very high accuracy, of our proposed methods is provided. A numerical integration application is performed to demonstrate the use of algorithms. Numerical and graphical results are implemented by MAPLE.
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MDPI and ACS Style
Quan, L.P.; Nhan, T.A. Applying Computer Algebra Systems in Approximating the Trigonometric Functions. Math. Comput. Appl. 2018, 23, 37.
Quan LP, Nhan TA. Applying Computer Algebra Systems in Approximating the Trigonometric Functions. Mathematical and Computational Applications. 2018; 23(3):37.
Quan, Le P.; Nhan, Thái A. 2018. "Applying Computer Algebra Systems in Approximating the Trigonometric Functions." Math. Comput. Appl. 23, no. 3: 37.
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