An elementary algorithm to evaluate trigonometric functions to high precision

Abstract

Evaluation of the cosine function is done via a simple Cordic-like algorithm, together with a package for handling arbitrary-precision arithmetic in the computer program Matlab. Approximations to the cosine function having hundreds of correct decimals are presented with a discussion around errors and implementation.

Publication DOI: https://doi.org/10.1080/0020739X.2017.1349943
Divisions: College of Engineering & Physical Sciences > School of Informatics and Digital Engineering > Mathematics
College of Engineering & Physical Sciences > Systems analytics research institute (SARI)
Additional Information: This is an Accepted Manuscript of an article published by Taylor & Francis in International Journal of Mathematical Education in Science and Technology on 19 july 2017, available online: http://www.tandfonline.com/10.1080/0020739X.2017.1349943
Uncontrolled Keywords: arbitrary-precision arithmetic,cordic algorithm,mulprec package,Mathematics (miscellaneous),Education,Applied Mathematics
Publication ISSN: 1464-5211
Full Text Link:
Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
PURE Output Type: Article
Published Date: 2018
Published Online Date: 2017-07-19
Accepted Date: 2017-07-19
Authors: Johansson, B. Tomas (ORCID Profile 0000-0001-9066-7922)

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