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Computational Experiments in Trigonometry

  • Sergei AbramovichEmail author
Chapter
  • 1.1k Downloads
Part of the Mathematics Education in the Digital Era book series (MEDE, volume 3)

Abstract

In this chapter, the equation (6.1) where a, b and c are real parameters, a 2 + b 2 ≠ 0, will be considered. A problem-solving technique based on reducing trigonometric Eq. (6.1) to the system of simultaneous algebraic equations, (6.2–6.3) will be explored. In the digital era, trigonometry curriculum can be made enjoyable provided that computer applications are used to illuminate mathematical ideas. Towards this end, the chapter will emphasize the importance of technology for the teachers’ understanding of connections that exist between trigonometry and geometry.

Keywords

Circular functions Arc functions Geometric connections STEM education Trigonometric identities Trigonometric equations Trigonometric inequalities Sign diagrams Partitioning diagrams Necessary conditions Sufficient conditions Proving the Graphing Calculator Wolfram Alpha 

Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.State University of New York at PotsdamPotsdamUSA

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