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## Overview

James Stewart, author of the best-selling calculus textbook series, and his coauthors Lothar Redlin and Saleem Watson, wrote TRIGONOMETRY to address a problem they frequently saw in their classrooms: Students who attempted to memorize facts and mimic examples—and who were not prepared to "think mathematically." With this text, Stewart, Redlin and Watson help students learn to think mathematically and develop true, lasting problem-solving skills. Patient, clear, and accurate, TRIGONOMETRY consistently illustrates how useful and applicable trigonometry is to real life.

- Exercise Sets: More than 20% of the exercises are new, including new Concept Exercises for each section. Key exercises are now linked to examples in the text to help students better understand the concepts involved as they do their homework.
- Chapter 8 Exponential and Logarithmic Functions: The material on the natural exponential function is now in a separate section. Expanded coverage provides the students with more examples for help with homework exercise.
- Book Companion Website: A new website, www.stewartmath.com, contains Discovery Projects for each chapter and Focus on Problem Solving sections that highlight different problem-solving principles outlined in the Prologue. Though the book itself introduces the notion of problem solving to the student, the website provides reinforcement of that skill.
- Chapter 1 Functions and Graphs: This chapter has been rewritten to focus more sharply on the fundamental and crucial concept of function. A new section entitled "Getting Information from the Graph of a Function" encourages students to think of the graph of a function as a tool for understanding the behavior of the function.
- Chapter 2 Trigonometric Functions: Unit Circle Approach This chapter includes a new section on inverse trigonometric functions and their graphs. Introducing this topic here reinforces the "function" concept in the context of trigonometry.
- Chapter 3 Trigonometric Functions: Right Triangle Approach This chapter includes a new section on inverse trigonometric functions and right triangles (Section 6.4), which is needed for applying the Laws of Sines and Cosines in the following section, as well as for solving trigonometric equations in Chapter 4. Whether or not you cover inverse trig functions in your course, complete content on this important topic is provided, better preparing students for calculus.
- Chapter 4 Analytic Trigonometry: This chapter has been completely revised. There are two new sections on trigonometric equations (Sections 4.4 and 4.5). The material on this topic (formerly in Section 4.5) has been expanded and revised, and the addition of more examples helps students better grasp this difficult topic.
- Chapter 5 Polar Coordinates and Parametric Equations: This chapter is now more sharply focused on the concept of a coordinate system. The section on parametric equations is new to this chapter. The material on vectors is now in its own chapter. Separating the parametric equations from vectors better distinguishes these topics for students. This is of particular importance since both topics are likely to be new to students in Trigonometry.
- Chapter 6 Vectors in Two and Three Dimensions: This is a new chapter with a new Focus on Modeling section. By isolating the vectors coverage, students are provided with more examples and more detailed coverage of vectors—an exciting topic that they may be covering concurrently in physics classes.
- Chapter 7 Analytic Geometry: This chapter is now more closely devoted to the topic of analytic geometry, especially the conic sections; the section on parametric equations has been moved to Chapter 5. Students likely did not cover conics in the college algebra course they took prior to trigonometry, so the expanded conics coverage provides them with the visual understanding of often-abstract geometric forms.

- TRIGONOMETRY is the only text on the market that is structured so professors can begin with either the unit circle approach or the right triangle approach. The different approaches lead to different applications: the unit circle approach is used in modeling harmonic motion and the right triangle approach is used in measuring distances (for example, measuring the distance to the sun or nearby stars depends on right triangle trigonometry).
- The authors make use of the graphing calculator whenever appropriate. Subsections, examples, and exercises that deal with graphing devices are labeled with an icon so that those who prefer not to use the graphing calculator can easily skip this material. For those students that use a graphing calculator, they are given a better understanding of how the calculator can work as an aid in solving problems. For students who do not use a graphing calculator, the material is presented optionally.
- Each chapter ends with a FOCUS ON MODELING section that illustrates modeling techniques as well as how trigonometry can be applied to model real-life situations. These sections, as well as others, are devoted to teaching students how to create their own mathematical models, rather than using prefabricated formulas.
- Real-World Applications from engineering, physics, chemistry, business, biology, environmental studies, and other fields demonstrate how trigonometry is used to model real-life situations.
- Each exercise set ends with Discovery-Discussion problems that encourage students to first experiment with the concepts developed in the section and then to write about what they have learned, rather than simply look for an answer.
- Review Sections and Chapter Tests are found at the end of each chapter. These are designed to help students gauge their progress. Brief answers to the odd-numbered exercises in each section, and to all questions in the Chapter Tests, are given at the back of the book.

Coordinate Geometry. Lines. What is a Function? Graphs of Functions. Getting Information from the Graph of a Function. Transformations of Functions. Combining Functions. One-to-One Functions and Their Inverses. Focus on Modeling: Fitting Lines to Data.

2. TRIGONOMETRIC FUNCTIONS: UNIT CIRCLE APPROACH.

The Unit Circle. Trigonometric Functions of Real Numbers. Trigonometric Graphs. More Trigonometric Graphs. Inverse Trigonometric Functions and Their Graphs. Modeling Harmonic Motion. Focus on Modeling: Fitting Sinusoidal Curves to Data.

3. TRIGONOMETRIC FUNCTIONS: RIGHT TRIANGLE APPROACH.

Angle Measure. Trigonometry of Right Triangles. Trigonometric Functions of Angles. Inverse Trigonometric Functions and Triangles. The Law of Sines. The Law of Cosines. Focus on Modeling: Surveying.

4. ANALYTIC TRIGONOMETRY.

Trigonometric Identities. Addition and Subtraction Formulas. Double-Angle, Half-Angle, and Product-Sum Formulas. Basic Trigonometric Equations. More Trigonometric Equations. Focus on Modeling: Traveling and Standing Waves.

5. POLAR COORDINATES AND PARAMETRIC EQUATIONS.

Polar Coordinates. Graphs of Polar Equations. Polar Form of Complex Numbers; DeMoivre's Theorem. Plane Curves and Parametric Equations. Focus on Modeling: The Path of a Projectile.

6. VECTORS IN TWO AND THREE DIMENSIONS.

Vectors in Two Dimensions. The Dot Product. Three-Dimensional Coordinate Geometry. Vectors in Three Dimensions. The Cross Product. Equations of Lines and Planes. Focus on Modeling: Vector Fields.

7. CONIC SECTIONS.

Parabolas. Ellipses. Hyperbolas. Shifted Conics. Rotation of Axes. Polar Equations of Conics. Focus on Modeling: Conics in Architecture.

8. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.

Exponential Functions. The Natural Exponential Function. Logarithmic Functions. Laws of Logarithms. Exponential and Logarithmic Equations. Modeling with Exponential and Logarithmic Functions. Damped Harmonic Motion. Focus on Modeling: Fitting Exponential and Power Curves to Data.

APPENDIX A: Algebra Review.

Real Numbers. Exponents and Radicals. Algebraic Expressions. Equations. Inequalities.

APPENDIX B: Geometry Review.

Congruence and Similarity of Triangles. The Pythagorean Theorem.

APPENDIX C: Graphing Calculators.

Using a Graphing Calculator. Solving Equations and Inequalities Graphically.

Cengage provides a range of supplements that are updated in coordination with the main title selection. For more information about these supplements, contact your Learning Consultant.

### FOR INSTRUCTORS

#### Trigonometry

ISBN: 9781111574482

James Stewart, author of the best-selling calculus textbook series, and his coauthors Lothar Redlin and Saleem Watson, wrote TRIGONOMETRY to address a problem they frequently saw in their classrooms: Students who attempted to memorize facts and mimic examples—and who were not prepared to "think mathematically." With this text, Stewart, Redlin and Watson help students learn to think mathematically and develop true, lasting problem-solving skills. Patient, clear, and accurate, TRIGONOMETRY consistently illustrates how useful and applicable trigonometry is to real life.

#### Trigonometry, 2nd: Instructor's Guide

ISBN: 9781111574765

The Instructor's Guide provides you with valuable teaching tools for each section of the text.

#### Trigonometry, 2nd: PowerLecture CD-ROM with ExamView Test Generator

ISBN: 9781111989958

PowerLecture instructor resources are a collection of book-specific lecture and class tools on either CD or DVD. The fastest and easiest way to build powerful, customized media-rich lectures, PowerLecture assets include chapter-specific PowerPoint presentations, images, animations and video, instructor manuals, test banks, useful web links and more. PowerLecture media-teaching tools are an effective way to enhance the educational experience.

#### Trigonometry, 2nd: Complete Solutions Manual

ISBN: 9781133113157

Includes solutions to all exercises in the text.

#### Study Guide for Stewart/Redlin/Watson's trigonometry and Trigonometry, Hybrid

ISBN: 9781111989859

The Study Guide includes detailed explanations, worked-out examples, and practice problems. With the corresponding text and study guide sections, your students will stay right on track.

#### Student Solutions Manual

ISBN: 9781133103523

Contains fully worked-out solutions to all of the odd-numbered exercises in the text, giving students a way to check their work and ensure that they took the correct steps to arrive at an answer.

### FOR STUDENTS

#### Trigonometry

ISBN: 9781111574482

TRIGONOMETRY is designed to help you learn to "think mathematically." With this text, you can stop relying on merely memorizing facts and mimicking examples—and instead develop true, lasting problem-solving skills. Clear and easy to read, TRIGONOMETRY illustrates how trigonometry is used and applied to real life, and helps you understand and retain what you learn in class.

#### Study Guide for Stewart/Redlin/Watson's trigonometry and Trigonometry, Hybrid

ISBN: 9781111989859

#### Student Solutions Manual

ISBN: 9781133103523