Trigonometric identities via combinatorics
Fájlok
Dátum
2019-07-04
Szerzők
Folyóirat címe
Folyóirat ISSN
Kötet címe (évfolyam száma)
Kiadó
Absztrakt
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
Leírás
Kulcsszavak
multiple angle formulas, Chebyshev polynomials, matching polynomials, Fibonacci and Lucas numbers, combinatorial identities
Forrás
Teaching Mathematics and Computer Science, Vol. 17 No. 1 (2019)
, 73-91