Trigonometry, 12th edition

  • Margaret L. Lial, 
  • John Hornsby, 
  • David I. Schneider, 
  • Callie Daniels

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Trigonometry helps you develop the balance of conceptual understanding and analytical skills needed to succeed in mathematics.

Published by Pearson (July 1st 2020) - Copyright © 2021

ISBN-13: 9780136881117

Subject: Precalculus, College Algebra & Trigonometry

Category: Trigonometry

Table of contents

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

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

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

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

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

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

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

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
Answers to Selected Exercises
Photo Credits

Your questions answered

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