IIARD International Institute of Academic Research and Development

INTERNATIONAL JOURNAL OF APPLIED SCIENCES AND MATHEMATICAL THEORY (IJASMT )

E- ISSN 2489-009X
P- ISSN 2695-1908
VOL. 8 NO. 3 2022
DOI: https://doi.org/10.56201/ijasmt.v8.no3.2022.pg70.85

---

Generating Trigonometric Identities by Inductive Reasoning, Using Super Hexagon and Its Application

Yakubu, Hosea, 1 Inamete, Emem Ndah Happiness and 2 Tsok, Samuel Hwere

---

Abstract

Trigonometric functions are basic mathematical objects that all students and academics at different level of education who are studying science and engineering try to tame. Usually, referring to them brings to mind difficulties of memorizing connections linking them. This paper discusses how a basic tool “super hexagon”, a hexagonal diagram whose vertices are labeled using the six basic trigonometric ratios to generate some trigonometric identities by inductive reasoning. This will hasten the understanding of undergraduates in finding the derivatives of trigonometric functions. It also suggests an alternative way to show the relationships between the main trigonometric functions, in order to help in understanding them as well as in visualizing the various connections. Hence, apply them in mathematical models of their respective disciplines in applied sciences

keywords:

Deductive reasoning, Inductive reasoning, Trigonometry, Trigonometry Identities, Super Hexagon, Calculus, Differential Calculus

---

References:

Bittinger, Ellenbogen, Surgent, (2012), Calculus and its applications. United States of America:
Pearson Education Inc…

J,-B. Hiriart-Urruty, (2015) Les formules de trigonometric sans pluers…. (Trigonometric
formulas without tears…..),
MathematicalTeachers).
Bulletin de
l’APMEP
(Bulletin of the French
Peter Brown… [et al], (2013), The Calculus of trigonometric functions. Australia: Education
Services Australia.

Yilmaz, R &Argun, Z. (2018). Role of visualization in mathematical abstraction: the case of
congruence concept. International Journal of Education in Mathematics, Science and
Technology (IJEMST), 6(1),41-57. DOI:10.18404/ijemst.328337

Wheatley, G. (1998). Imagery and mathematics learning. Focucs on Learning Problems in
Mathematics, 20,(2-3), 7-16.

DOWNLOAD PDF

---

Back