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The Trigonometric Circle: where Pythagoras meets Thales

The Trigonometric Circle: where Pythagoras meets Thales

by Jean Barbet | Oct 25, 2020 | Geometry, Non classé, Trigonometry

The trigonometric circle allows us to define the cosine, sine and tangent of an oriented angle, and to give an interpretation through Thales’ and Pythagoras’ theorems. Introduction: trigonometry and functions Trigonometry is the study of the relationships...
Polynomials in one variable: the combinatorial representation of equations

Polynomials in one variable: the combinatorial representation of equations

by Jean Barbet | Sep 16, 2020 | Algebra, Functions, Non classé

Polynomials with one variable are mathematical representations of the expressions used in polynomial equations. They allow algebraic methods to be applied to solving these equations. 1. Equations are “linguistic” objects 1.1 Polynomial equations and number...
What is a complex number? A simple geometric approach

What is a complex number? A simple geometric approach

by Jean Barbet | Aug 20, 2020 | Algebra, Non classé

There are various ways of defining complex numbers. The most direct way is to look at them as points or vectors of the Euclidean plane. Addition and multiplication are then defined using the coordinates. 1. The set \(\mathbb C\) of complex numbers 1.1. A complex...
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