From the Right Triangle to the Trigonometric Circle: Concepts and Applications.
This work provides a detailed analysis of the evolution of trigonometry throughout history, highlighting how ancient physicists and mathematicians developed and employed the principles we now know as trigonometry. Initially, this theory was crucial for determining planetary distances and, over time, came to be applied in the study of periodic movements and the modeling of natural phenomena.
The study also proposes an alternative approach to teaching trigonometry in high school. This approach includes a gradual and logical transition from studying trigonometry in the right triangle to trigonometry in the unit circle. This method aims to offer students a more comprehensive and cohesive understanding of the subject, linking historical concepts with modern practical applications.
Through this approach, the goal is not only to facilitate the understanding of trigonometric concepts but also to spark students' interest in the history and development of this important area of mathematics.