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103 Trigonometry Problems

From the Training of the USA IMO Team

  • Titu Andreescu
  • Zuming Feng

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Pages 63-71
  3. Pages 73-81
  4. Back Matter
    Pages 199-214

About this book

Introduction

103 Trigonometry Problems contains highly-selected problems and solutions used in the training and testing of the USA International Mathematical Olympiad (IMO) team. Though many problems may initially appear impenetrable to the novice, most can be solved using only elementary high school mathematics techniques.

Key features:

* Gradual progression in problem difficulty builds and strengthens mathematical skills and techniques

* Basic topics include trigonometric formulas and identities, their applications in the geometry of the triangle, trigonometric equations and inequalities, and substitutions involving trigonometric functions

* Problem-solving tactics and strategies, along with practical test-taking techniques, provide in-depth enrichment and preparation for possible participation in various mathematical competitions

* Comprehensive introduction (first chapter) to trigonometric functions, their relations and functional properties, and their applications in the Euclidean plane and solid geometry expose advanced students to college level material

103 Trigonometry Problems is a cogent problem-solving resource for advanced high school students, undergraduates, and mathematics teachers engaged in competition training.

Other books by the authors include 102 Combinatorial Problems: From the Training of the USA IMO Team (0-8176-4317-6, 2003) and A Path to Combinatorics for Undergraduates: Counting Strategies (0-8176-4288-9, 2004).

Keywords

Counting Identity Problem solving Problem-solving equation function geometry ksa mathematics

Authors and affiliations

  • Titu Andreescu
    • 1
  • Zuming Feng
    • 2
  1. 1.Department of Mathematical and Computer SciencesUniversity of WisconsinWhitewaterUSA
  2. 2.Department of MathematicsPhillips Exeter AcademyExeterUSA

Bibliographic information