An elementary algorithm to evaluate trigonometric functions to high precision

B. Tomas Johansson

doi:10.1080/0020739X.2017.1349943

An elementary algorithm to evaluate trigonometric functions to high precision

B. Tomas Johansson^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	131-137
Journal	International Journal of Mathematical Education in Science and Technology
Volume	49
Issue number	1
Early online date	19 Jul 2017
DOIs	https://doi.org/10.1080/0020739X.2017.1349943
Publication status	Published - 2018

Bibliographical note

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

Keywords

arbitrary-precision arithmetic
cordic algorithm
mulprec package

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10.1080/0020739X.2017.1349943

Elementary algorithm to evaluate trigonomic functions to high precision
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
Accepted author manuscript, 310 KB

Cite this

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An elementary algorithm to evaluate trigonometric functions to high precision

Abstract

Bibliographical note

Keywords

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