BOOK

## College Algebra and Trigonometry, Global Edition

**Margaret L. Lial** |
** John Hornsby** |
** David I. Schneider** |
** Callie Daniels**

(2016)

### Additional Information

#### Book Details

### Abstract

*For courses in college algebra and trigonometry .*

**Steadfast Support for your Evolving Course**

The **College Algebra** series, by Lial, Hornsby, Schneider, and Daniels, combines the experience of master teachers to help students develop both the conceptual understanding and the analytical skills necessary for success in mathematics. With this latest edition, the authors respond to the challenges of new student expectations and new classroom models.

**MyMathLab not included. **Students, if MyMathLab is a recommended/mandatory component of the course, please ask your instructor for the correct ISBN and course ID. MyMathLab should only be purchased when required by an instructor. Instructors, contact your Pearson representative for more information.

**Also available with MyMathLab**

MyMathLab is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts.

The authors have developed specific content in MyMathLab to give students the practice they need to develop a conceptual understanding of College Algebra and the analytical skills necessary for success in mathematics. The MyMathLab features support College Algebra students in a variety of classroom formats (traditional, hybrid, and online).

### Table of Contents

Section Title | Page | Action | Price |
---|---|---|---|

Cover | Cover | ||

Title Page | 5 | ||

Copyright Page | 6 | ||

Contents | 8 | ||

Preface | 17 | ||

Resources for Success | 22 | ||

Acknowledgments | 24 | ||

R. Review of Basic Concepts | 27 | ||

R.1. Sets | 28 | ||

R.2. Real Numbers and Their Properties | 35 | ||

R.3. Polynomials | 50 | ||

R.4. Factoring Polynomials | 62 | ||

R.5. Rational Expressions | 72 | ||

R.6. Rational Exponents | 81 | ||

R.7. Radical Expressions | 92 | ||

Test Prep | 103 | ||

Review Exercises | 107 | ||

Test | 111 | ||

1. Equations and Inequalities | 113 | ||

1.1. Linear Equations | 114 | ||

1.2. Applications and Modeling with Linear Equations | 120 | ||

1.3. Complex Numbers | 131 | ||

1.4. Quadratic Equations | 139 | ||

Chapter 1: Quiz (Sections 1.1–1.4) | 149 | ||

1.5. Applications and Modeling with Quadratic Equations | 150 | ||

1.6. Other Types of Equations and Applications | 162 | ||

Summary Exercises on Solving Equations | 175 | ||

1.7. Inequalities | 176 | ||

1.8. Absolute Value Equations and Inequalities | 188 | ||

Test Prep | 196 | ||

Review Exercises | 201 | ||

Test | 207 | ||

2. Graphs and Functions | 209 | ||

2.1. Rectangular Coordinates and Graphs | 210 | ||

2.2. Circles | 221 | ||

2.3. Functions | 229 | ||

2.4. Linear Functions | 245 | ||

Chapter 2: Quiz (Sections 2.1–2.4) | 259 | ||

2.5. Equations of Lines and Linear Models | 260 | ||

Summary Exercises on Graphs, Circles, Functions, and Equations | 273 | ||

2.6. Graphs of Basic Functions | 274 | ||

2.7. Graphing Techniques | 286 | ||

Chapter 2: Quiz (Sections 2.5–2.7) | 302 | ||

2.8. Function Operations and Composition | 303 | ||

Test Prep | 318 | ||

Review Exercises | 322 | ||

Test | 327 | ||

3. Polynomial and Rational Functions | 329 | ||

3.1. Quadratic Functions and Models | 330 | ||

3.2. Synthetic Division | 346 | ||

3.3. Zeros of Polynomial Functions | 353 | ||

3.4. Polynomial Functions: Graphs, Applications, and Models | 365 | ||

Summary Exercises on Polynomial Functions, Zeros, and Graphs | 384 | ||

3.5. Rational Functions: Graphs, Applications, and Models | 386 | ||

Chapter 3: Quiz (Sections 3.1–3.5) | 407 | ||

Summary Exercises on Solving Equations and Inequalities | 407 | ||

3.6. Variation | 409 | ||

Test Prep | 418 | ||

Review Exercises | 423 | ||

Test | 428 | ||

4. Inverse, Exponential, and Logarithmic Functions | 431 | ||

4.1. Inverse Functions | 432 | ||

4.2. Exponential Functions | 445 | ||

4.3. Logarithmic Functions | 461 | ||

Summary Exercises on Inverse, Exponential, and Logarithmic Functions | 474 | ||

4.4. Evaluating Logarithms and the Change-of-Base Theorem | 475 | ||

Chapter 4: Quiz (Sections 4.1–4.4) | 487 | ||

4.5. Exponential and Logarithmic Equations | 487 | ||

4.6. Applications and Models of Exponential Growth and Decay | 499 | ||

Summary Exercises on Functions: Domains and Defining Equations | 511 | ||

Test Prep | 514 | ||

Review Exercises | 517 | ||

Test | 521 | ||

5. Trigonometric Functions | 523 | ||

5.1. Angles | 524 | ||

5.2. Trigonometric Functions | 532 | ||

5.3. Trigonometric Function Values and Angle Measures | 547 | ||

Chapter 5: Quiz (Sections 5.1–5.3) | 562 | ||

5.4. Solutions and Applications of Right Triangles | 563 | ||

Test Prep | 581 | ||

Review Exercises | 585 | ||

Test | 588 | ||

6. The Circular Functions and Their Graphs | 591 | ||

6.1. Radian Measure | 592 | ||

6.2. The Unit Circle and Circular Functions | 604 | ||

6.3. Graphs of the Sine and Cosine Functions | 618 | ||

6.4. Translations of the Graphs of the Sine and Cosine Functions | 631 | ||

Chapter 6: Quiz (Sections 6.1–6.4) | 642 | ||

6.5. Graphs of the Tangent and Cotangent Functions | 642 | ||

6.6. Graphs of the Secant and Cosecant Functions | 651 | ||

Summary Exercises on Graphing Circular Functions | 659 | ||

6.7. Harmonic Motion | 659 | ||

Test Prep | 666 | ||

Review Exercises | 669 | ||

Test | 676 | ||

7. Trigonometric Identities and Equations | 679 | ||

7.1. Fundamental Identities | 680 | ||

7.2. Verifying Trigonometric Identities | 686 | ||

7.3. Sum and Difference Identities | 695 | ||

Chapter 7: Quiz (Sections 7.1–7.3) | 709 | ||

7.4. Double-Angle and Half-Angle Identities | 709 | ||

Summary Exercises on Verifying Trigonometric Identities | 722 | ||

7.5. Inverse Circular Functions | 722 | ||

7.6.Trigonometric Equations | 738 | ||

Chapter 7: Quiz (Sections 7.5–7.6) | 751 | ||

7.7. Equations Involving Inverse Trigonometric Functions | 751 | ||

Test Prep | 758 | ||

Review Exercises | 762 | ||

Test | 766 | ||

8. Applications of Trigonometry | 769 | ||

8.1. The Law of Sines | 770 | ||

8.2. The Law of Cosines | 785 | ||

Chapter 8: Quiz (Sections 8.1–8.2) | 798 | ||

8.3. Geometrically Defined Vectors and Applications | 799 | ||

8.4. Algebraically Defined Vectors and the Dot Product | 809 | ||

Summary Exercises on Applications of Trigonometry and Vectors | 817 | ||

8.5. Trigonometric (Polar) Form of Complex Numbers; Products and Quotients | 819 | ||

8.6. De Moivre’s Theorem; Powers and Roots of Complex Numbers | 830 | ||

Chapter 8: Quiz (Sections 8.3–8.6) | 837 | ||

8.7. Polar Equations and Graphs | 837 | ||

8.8. Parametric Equations, Graphs, and Applications | 850 | ||

Test Prep | 858 | ||

Review Exercises | 863 | ||

Test | 869 | ||

9. Systems and Matrices | 871 | ||

9.1. Systems of Linear Equations | 872 | ||

9.2. Matrix Solution of Linear Systems | 890 | ||

9.3. Determinant Solution of Linear Systems | 902 | ||

9.4. Partial Fractions | 915 | ||

Chapter 9: Quiz (Sections 9.1–9.4) | 922 | ||

9.5. Nonlinear Systems of Equations | 923 | ||

Summary Exercises on Systems of Equations | 933 | ||

9.6. Systems of Inequalities and Linear Programming | 934 | ||

9.7. Properties of Matrices | 946 | ||

9.8. Matrix Inverses | 960 | ||

Test Prep | 972 | ||

Review Exercises | 977 | ||

Test | 983 | ||

10. Analytic Geometry | 985 | ||

10.1. Parabolas | 986 | ||

10.2. Ellipses | 995 | ||

Chapter 10: Quiz (Sections 10.1–10.2) | 1007 | ||

10.3. Hyperbolas | 1007 | ||

10.4. Summary of the Conic Sections | 1017 | ||

Test Prep | 1024 | ||

Review Exercises | 1026 | ||

Test | 1029 | ||

11. Further Topics in Algebra | 1031 | ||

11.1. Sequences and Series | 1032 | ||

11.2. Arithmetic Sequences and Series | 1043 | ||

11.3. Geometric Sequences and Series | 1053 | ||

Summary Exercises on Sequences and Series | 1064 | ||

11.4. The Binomial Theorem | 1065 | ||

11.5. Mathematical Induction | 1072 | ||

Chapter 11: Quiz (Sections 11.1–11.5) | 1079 | ||

11.6. Basics of Counting Theory | 1080 | ||

11.7. Basics of Probability | 1091 | ||

Test Prep | 1103 | ||

Review Exercises | 1107 | ||

Test | 1111 | ||

Appendices | 1113 | ||

Appendix A: Polar Form of Conic Sections | 1113 | ||

Appendix B: Rotation of Axes | 1117 | ||

Appendix C: Geometry Formulas | 1121 | ||

Answers to Selected Exercises | 1123 | ||

Photo Credits | 1181 | ||

Index | 1183 | ||

Back Cover | Back Cover |