Bényi, Beáta2024-07-302024-07-302019-07-04Teaching Mathematics and Computer Science, Vol. 17 No. 1 (2019) , 73-911589-7389https://hdl.handle.net/2437/378493In 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: 05A19application/pdfmultiple angle formulasChebyshev polynomialsmatching polynomialsFibonacci and Lucas numberscombinatorial identitiesTrigonometric identities via combinatoricsfolyóiratcikkOpen AccessBeáta Bényihttps://doi.org/10.5485/TMCS.2019.0461Teaching Mathematics and Computer Science117Teach. Math. Comp. Sci.2676-8364