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Trigonometry, 12th edition

Published by Pearson (July 1, 2020) © 2021

  • Margaret L. Lial American River College
  • John Hornsby University of New Orleans
  • David I. Schneider University of Maryland
  • Callie J. Daniels St. Charles Community College
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Trigonometry by Lial, Hornsby, Schneider and Daniels channels the experience of master teachers to help you develop the conceptual understanding and analytical skills you need to succeed in mathematics. A systematic approach is used to present each topic and is designed to actively engage you in the learning process. Ample opportunities for review are interspersed within chapters and also found at the end of chapters. The 12th Edition offers a complete suite of materials that supports all classroom types and learners. An expanded Chapter R includes more basic concepts that often challenge students.

  • Preface
  • Resources for Success

R. Algebra Review

  • R.1 Basic Concepts from Algebra
  • R.2 Real Number Operations and Properties
  • R.3 Exponents, Polynomials, and Factoring
  • R.4 Rational Expressions
  • R.5 Radical Expressions
  • R.6 Equations and Inequalities
  • R.7 Rectangular Coordinates and Graphs
  • R.8 Functions
  • R.9 Graphing Techniques

1. Trigonometric Functions

  • 1-1 Angles
  • 1-2 Angle Relationships and Similar Triangles
  • 1-3 Trigonometric Functions
  • 1-4 Using the Definitions of the Trigonometric Functions
  • Test Prep
  • Review Exercises
  • Test

2. Acute Angles and Right Triangles

  • 2-1 Trigonometric Functions of Acute Angles
  • 2-2 Trigonometric Functions of Non-Acute Angles
  • 2-3 Approximations of Trigonometric Function Values
  • 2-4 Solutions and Applications of Right Triangles
  • 2-5 Further Applications of Right Triangles
  • Test Prep
  • Review Exercises
  • Test

3. Radian Measure and the Unit Circle

  • 3-1 Radian Measure
  • 3-2 Applications of Radian Measure
  • 3-3 The Unit Circle and Circular Functions
  • 3-4 Linear and Angular Speed
  • Test Prep
  • Review Exercises
  • Test

4. Graphs of the Circular Functions

  • 4-1 Graphs of the Sine and Cosine Functions
  • 4-2 Translations of the Graphs of Sine and Cosine Functions
  • 4-3 Graphs of the Tangent and Cotangent Functions
  • 4-4 Graphs of the Secant and Cosecant Functions
  • 4-5 Harmonic Motion
  • Test Prep
  • Review Exercises
  • Test

5. Trigonometric Identities

  • 5-1 Fundamental Identities
  • 5-2 Verifying Trigonometric Identities
  • 5-3 Sum and Difference Identities for Cosine
  • 5-4 Sum and Difference Identities for Sine and Tangent
  • 5-5 Double-Angle Identities
  • 5-6 Half-Angle Identities
  • Test Prep
  • Review Exercises
  • Test

6. Inverse Circular Functions and Trigonometric Equations

  • 6-1 Inverse Circular Functions
  • 6-2 Trigonometric Equations I
  • 6-3 Trigonometric Equations II
  • 6-4 Equations Involving Inverse Trigonometric Functions
  • Test Prep
  • Review Exercises
  • Test

7. Applications of Trigonometry and Vectors

  • 7-1 Oblique Triangles and the Law of Sines
  • 7-2 The Ambiguous Case of the Law of Sines
  • 7-3 The Law of Cosines
  • 7-4 Geometrically Defined Vectors and Applications
  • 7-5 Algebraically Defined Vectors and the Dot Product
  • Test Prep
  • Review Exercises
  • Test

8. Complex Numbers, Polar Equations, and Parametric Equations

  • 8-1 Complex Numbers
  • 8-2 Trigonometric (Polar) Form of Complex Numbers
  • 8-3 The Product and Quotient Theorems
  • 8-4 De Moivre's Theorem
  • 8-5 Polar Equations and Graphs
  • 8-6 Parametric Equations, Graphs, and Applications
  • Test Prep
  • Review Exercises
  • Test

Answers to Selected Exercises

Photo Credits

Index

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