Análise da possibilidade de inclusão de abordagens alternativas para a função cosseno no ensino médio

Abstract

This work establishes itself as objective analysis of the process of elaboration of the definitions of the trigonometric functions, particularly the definition of the cosine function. Thus, it is given a guideline regarding the development of a curriculum in which students are not sparked off the concept of trigonometric function based only on the triangle and trigonometric cycle. Therefore, the biggest challenge is to develop arguments for teaching about and investigate further the concepts of trigonometry. Thus, although we like the first chapter a brief explanation about the history of trigonometry, the work focuses on the development of the definition cosine of some forms, namely: the one presented in textbooks as it observes that it is made with support Euler function, setting via power series, the setting based on the exponential function domain in complex and, finally, setting as a solution of an initial value problem, that is, a differential equation that satisfies a given initial condition. From there will be an analysis of these definitions by observing the viability of each to be presented to high school students.