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Research Article | Open Access

Alternating reflection method on conics leading to inverse trigonometric and hyperbolic functions

Département de Mathématiques, Université de Sherbrooke, 2500 Boul. Université, Sherbrooke (Qc), Canada, J1K2R1
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Abstract

An unusual alternating reflection method on conics is presented to evaluate inverse trigonometric and hyperbolic functions.

Keywords

reflectionconicsdigitsinverse trigonometric functioninverse hyperbolic function
CLC number: Primary: 65D20; Secondary: 68Q25

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AIMS Mathematics
Volume 7 Issue 7,
July 2022
Pages 11708-11717
DOI: 10.3934/math.2022652

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Cite this article:
Dubeau F. Alternating reflection method on conics leading to inverse trigonometric and hyperbolic functions. AIMS Mathematics, 2022, 7(7): 11708-11717. https://doi.org/10.3934/math.2022652

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Received: 13 December 2021
Revised: 27 March 2022
Accepted: 07 April 2022
Published: 15 July 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)