Articles
Trigonometric identities via combinatorics
Published:
2019-07-04
https://doi.org/10.5485/TMCS.2019.0461
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Keywords
multiple angle formulas Chebyshev polynomials matching polynomials Fibonacci and Lucas numbers combinatorial identities
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Copyright (c) 2022 Beáta Bényi
This work is licensed under a Creative Commons Attribution 4.0 International License.
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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