Articles

Trigonometric identities via combinatorics

Published:
2019-07-04
Author
View
Keywords
License

Copyright (c) 2022 Beáta Bényi

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How To Cite
Selected Style: APA
Bényi, B. (2019). Trigonometric identities via combinatorics. Teaching Mathematics and Computer Science, 17(1), 73-91. https://doi.org/10.5485/TMCS.2019.0461
Abstract

In this paper we consider the combinatorial approach of the multi-angle formulas sin nΘ and cos nΘ. We describe a simple "drawing rule" for deriving the formulas immediately. We recall some theoretical background, historical remarks, and show some topics that is connected to this problem, as Chebyshev polynomials, matching polynomials, Lucas polynomial sequences.

Subject Classification: 05A19