Read more about Trigonometry


(2 reviews)

Richard W. Beveridge

Copyright Year: 2014

Publisher: Richard W. Beveridge

Language: English

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Reviewed by Hansun To, Professor of Mathematics, Worcester State University on 6/25/20, updated 7/21/20

This textbook is a four-chapter comprehensive collection of Trigonometry topics including right triangle, graphing, identities of Trigonometric functions and Law of sines and cosines. This might be a good practical in-class discussions but has... read more

Reviewed by David Busekist, Instructor, Southeastern Louisiana University on 12/18/19

This is a text authored in 2014. The material covers Right Triangle Trigonometry (angles, trig ratios, solving right triangles, applications), Graphing the Trigonometric Functions, Trigonometric Identities and Equations, and Law of Sines and Law... read more

Table of Contents

1. Right Triangle Trigonometry

  • 1.1 Measuring Angles
  • 1.2 The Trigonometric Ratios
  • 1.3 Solving Triangles
  • 1.4 Applications
  • 1.5 More Applications

2. Graphing the Trigonometric Functions

  • 2.1 Trigonometric Functions of Non-Acute Angles
  • 2.2 Graphing Trigonometric Functions
  • 2.3 The Vertical Shift of a Trigonometric Function
  • 2.4 Phase Shift
  • 2.5 Combining the Transformations

3. Trigonometric Identities and Equations

  • 3.1 Reciprocal and Pythagorean Identities
  • 3.2 Double-Angle Identities
  • 3.3 Trigonometric Equations
  • 3.4 More Trigonometric Equations

4. The Law of Sines; The Law of Cosines

  • 4.1 The Law of Sines
  • 4.2 The Law of Sines: the ambiguous case
  • 4.3 The Law of Cosines
  • 4.4 Applications

About the Book

The precursors to what we study today as Trigonometry had their origin in ancient Mesopotamia, Greece and India. These cultures used the concepts of angles and lengths as an aid to understanding the movements of the heavenly bodies in the night sky. Ancient trigonometry typically used angles and triangles that were embedded in circles so that many of the calculations used were based on the lengths of chords within a circle. The relationships between the lengths of the chords and other lines drawn within a circle and the measure of the corresponding central angle represent the foundation of trigonometry - the relationship between angles and distances.

About the Contributors


Richard W. Beveridge