Expresiones exactas de las funciones trigonométricas de ángulos construibles con regla y compás

Ángela Yaneth Franco; José Ángel González

doi:10.48204/j.vian.v8n1.a5228

Submitted June 17, 2024

Published 2024-06-28

Artículos

Vol. 8 No. 1 (2024): Visión Antataura

Exact expression for trigonometric functions of constructible angles with ruler and compass

Ángela Yaneth Franco⁺⁻
José Ángel González⁺⁻

DOI https://doi.org/10.48204/j.vian.v8n1.a5228

PDF (Español (España))

References

DOI: 10.48204/j.vian.v8n1.a5228

Published: 2024-06-28

How to Cite

Franco, Ángela Y., & González, J. Ángel. (2024). Exact expression for trigonometric functions of constructible angles with ruler and compass. Visión Antataura, 8(1), 64–83. https://doi.org/10.48204/j.vian.v8n1.a5228

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Abstract

The concept of constructible number with ruler and compass was born in the ancient Greek Civilization, with the history of the impossibility to construct with ruler and compass the doubling of the cube, the squaring of the circle, and the trisection of an angle. This article presents the basic properties of the set. of constructible complex numbers. Constructible numbers are characterized and classical Greek problems are modeled to prove that they are unsolvable. Finally, constructible angles are characterized, and exact expressions for the sine cosine functions of constructible angles are determined.

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References

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