## Description

**College Algebra and Trigonometry, Fifth Edition**, by Lial, Hornsby, Schneider, and Daniels, engages and supports students in the learning process by developing both the conceptual understanding and the analytical skills necessary for success in mathematics. With the

**Fifth Edition**, the authors adapt to the new ways in which students are learning, as well as the ever-changing classroom environment.

## Table of Contents

**R. Review of Basic Concepts**

R.1 Sets

R.2 Real Numbers and Their Properties

R.3 Polynomials

R.4 Factoring Polynomials

R.5 Rational Expressions

R.6 Rational Exponents

R.7 Radical Expressions

**1. Equations and Inequalities**

1.1 Linear Equations

1.2 Applications and Modeling with Linear Equations

1.3 Complex Numbers

1.4 Quadratic Equations

1.5 Applications and Modeling with Quadratic Equations

1.6 Other Types of Equations and Applications

1.7 Inequalities

1.8 Absolute Value Equations and Inequalities

**2. Graphs and Functions**

2.1 Rectangular Coordinates and Graphs

2.2 Circles

2.3 Functions

2.4 Linear Functions

2.5 Equations of Lines and Linear Models

2.6 Graphs of Basic Functions

2.7 Graphing Techniques

2.8 Function Operations and Composition

**3. Polynomial and Rational Functions**

3.1 Quadratic Functions and Models

3.2 Synthetic Division

3.3 Zeros of Polynomial Functions

3.4 Polynomial Functions: Graphs, Applications, and Models

3.5 Rational Functions: Graphs, Applications, and Models

3.6 Variation

**4. Inverse, Exponential, and Logarithmic Functions**

4.1 Inverse Functions

4.2 Exponential Functions

4.3 Logarithmic Functions

4.4 Evaluating Logarithms and the Change-of-Base Theorem

4.5 Exponential and Logarithmic Equations

4.6 Applications and Models of Exponential Growth and Decay

**5. Trigonometric Functions**

5.1 Angles

5.2 Trigonometric Functions

5.3 Evaluating Trigonometric Functions

5.4 Solving Right Triangles

**6. The Circular Functions and Their Graphs**

6.1 Radian Measure

6.2 The Unit Circle and Circular Functions

6.3 Graphs of the Sine and Cosine Functions

6.4 Translations of the Graphs of the Sine and Cosine Functions

6.5 Graphs of the Tangent, Cotangent, Secant, and Cosecant

6.6 Harmonic Motion

**7. Trigonometric Identities and Equations**

7.1 Fundamental Identities

7.2 Verifying Trigonometric Identities

7.3 Sum and Difference Identities

7.4 Double-Angle and Half-Angle Identities

7.5 Inverse Circular Functions

7.6 Trigonometric Equations

7.7 Equations Involving Inverse Trigonometric Functions

**8. Applications of Trigonometry**

8.1 The Law of Sines

8.2 The Law of Cosines

8.3 Vectors, Operation, and the Dot Product

8.4 Applications of Vectors

8.5 Trigonometric (Polar) Form of Complex Numbers; Products and Quotients

8.6 De Moivre's Theorem; Powers and Roots of Complex Numbers

8.7 Polar Equations and Graphs

8.8 Parametic Equations, Graphs, and Applications

**9. Systems and Matrices**

9.1 Systems of Linear Equations

9.2 Matrix Solution of Linear Systems

9.3 Determinant Solution of Linear Systems

9.4 Partial Fractions

9.5 Nonlinear Systems of Equations

9.6 Systems of Inequalities and Linear Programming

9.7 Properties of Matrices

9.8 Matrix Inverses

**10. Analytic Geometry**

10.1 Parabolas

10.2 Ellipses

10.3 Hyperbolas

10.4 Summary of the Conic Sections

**11. Further Topics in Algebra**

11.1 Sequences and Series

11.2 Arithmetic Sequences and Series

11.3 Geometric Sequences and Series

11.4 The Binomial Theorem

11.5 Mathematical Induction

11.6 Counting Theory

11.7 Basics of Probability

Appendices

Appendix A. Polar Form of Conic Sections

Appendix B. Rotation of Axes

Appendix C. Geometry Formulas

Glossary

Solutions to Selected Exercises

Answers to Selected Exercises

Index of Applications

Index

Photo Credits
Enhance your learning experience with ** text-specific** study materials.

MyNotes for College Algebra and Trigonometry and Precalculus, 5th Edition

ISBN-13: 978-0-321-83782-0

$33.40 | Add to Cart

Student Solutions Manual for College Algebra and Trigonometry and Precalculus, 5th Edition

ISBN-13: 978-0-321-79136-8

$43.60 | Add to Cart

This title is also sold in the various packages listed below. Before purchasing one of these packages, speak with your professor about which one will help you be successful in your course.

Package ISBN-13: 9780321852571

Includes this title packaged with:

- Student Solutions Manual for College Algebra and Trigonometry and Precalculus, 5th Edition

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

$248.33 | Add to Cart

Package ISBN-13: 9780321839848

Includes this title packaged with:

- Student Solutions Manual for College Algebra and Trigonometry and Precalculus, 5th Edition

Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels - MyMathLab -- Valuepack Access Card, 6th Edition

. . Pearson Education

$262.33 | Add to Cart

## Purchase Info

### Digital Choices ?

MyLab & Mastering with Pearson eText is a complete digital substitute for a print value pack at a lower price.

#### MyLab & Mastering ?

MyLab & Mastering products deliver customizable content and highly personalized study paths, responsive learning tools, and real-time evaluation and diagnostics. MyLab & Mastering products help move students toward the moment that matters most—the moment of true understanding and learning.

Buy AccessMathXL -- Instant Access -- for College Algebra and Trigonometry, 5th Edition

$85.80 | ISBN-13: 978-0-321-79539-7

Buy AccessNEW MyMathLab with Pearson eText -- Instant Access -- for College Algebra and Trigonometry, 5th Edition

$95.70 | ISBN-13: 978-0-321-79151-1

#### eTextbook ?

With CourseSmart eTextbooks and eResources, you save up to 60% off the price of new print textbooks, and can switch between studying online or offline to suit your needs.

Once you have purchased your eTextbooks and added them to your CourseSmart bookshelf, you can access them anytime, anywhere.

College Algebra and Trigonometry, CourseSmart eTextbook, 5th Edition

$99.99 | ISBN-13: 978-0-321-79533-5

### Print Choices

#### Alternative Options ?

Click on the titles below to learn more about these options.

MyNotes for College Algebra and Trigonometry plus NEW MyMathLab -- Access Card Package, 5th Edition

$129.33 | ISBN-13: 978-0-321-89373-4

$178.67 | ISBN-13: 978-0-321-82805-7

#### Loose Leaf Version ?

Books a la Carte are less-expensive, loose-leaf versions of the same textbook.

College Algebra and Trigonometry, Books a la Carte Edition, 5th Edition

$164.67 | ISBN-13: 978-0-321-79531-1