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115 Trigonometry Problems from the AwesomeMath Program

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Focusing on Trigonometry reveals a wealth of alternate approaches to solving intricate geometry problems while providing foundational support in other areas of mathematics such as Fourier Analysis and Differential Equations.

It is time for Trigonometry to receive the attention it deserves in this stand-alone book where the theory chapter is an invaluable pedagogical resource with lots of examples and guided exercises and the subsequent chapters offer a collection of carefully selected introductory through advanced problems and solutions intended to enhance the problem-solving skills of the reader.

This book is not only for those studying for mathematics Olympiads but all individuals who want a better understanding of Trigonometry so they will be more successful in different settings such as a calculus course.

This book offers a comprehensive overview of the trigonometric functions and contains a collection of 115 carefully selected introductory and advanced problems in Trigonometry from world-wide renowned Olympiads and mathematical magazines, as well as original problems designed by the authors. Together with the beautiful examples and the creative solutions, the present text is a valuable resource and teaching material for anybody who wants to explore the beauty of Trigonometry.

Author: Andreescu Titu
Publisher: XYZ PRESS
Pages: 200
ISBN: 9780999342800
Cover: Hardback
Edition Number: 1
Release Year: 2017

Preface

Theory and Examples

Definition of Trigonometric Functions

Trigonometric Identities

Further Properties, Substitutions and Inverse Functions

A Key Limit, Power Series and Complex Numbers

Inequalities

Trigonometry and Geometry

Appendix: Complements from Real and Complex Analysis

Introductory Problems

Advanced Problems

Solutions to Introductory Problems

Solutions to Advanced Problems

Bibliography

Dr. Titu Andreescu is an Associate Professor at the University of Texas at Dallas in the Science and Mathematics Education department.

Kathy Cordeiro, MBA, is a leading developer of education initiatives for business and academia. She founded Eudaimonia Academy, where she coached mathematics teams and worked with highly and profoundly gifted students.

Alina Andreescu, MA, is the co-founder and Operations Director of AwesomeMath and founder of XYZ Press. She fosters an international community of staff, students, and instructors that values critical thinking, creativity, passionate problem solving, and lifetime mathematical learning.

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