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Trigonometry, 9/E
Margaret L. Lial, American River College
John Hornsby, University of New Orleans
David I. Schneider, University of Maryland

ISBN-10: 0321528859
ISBN-13: 9780321528858

Publisher: Addison-Wesley
Copyright: 2009
Format: Cloth; 544 pp
Published: 02/04/2008

Suggested retail price: $138.67
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Over the years, the text has been shaped and adapted to meet the changing needs of both students and educators. As always, special care was taken to respond to the specific suggestions of users and reviewers through enhanced discussions, new and updated examples and exercises, helpful features, and an extensive package of supplements and study aids. The result is an easy-to-use, comprehensive text that is the best edition yet.

  • Chapter Openers  These provide a motivating application topic that is tied to the chapter content, plus a list of sections and any quizzes or summary exercises in the chapter.
  • Examples  The step-by-step solutions now incorporate additional side comments and more section references to previously covered material. New pointers in the examples provide students with on-the-spot reminders and warnings about common pitfalls.
  • Now Try Exercises  To actively engage students in the learning process, each example concludes with a reference to one or more parallel, odd-numbered exercises from the corresponding exercise set. In this way, students are able to immediately apply and reinforce the concepts and skills presented in the examples.
  • Real-Life Applications  We have incorporated many new applied examples and exercises from fields such as business, pop culture, sports, life sciences, and environmental studies that show the relevance of trigonometry to daily life.
  • Function Boxes  Special function boxes offer a comprehensive, visual introduction to each circular and inverse circular function and also serve as an excellent resource for student reference and review throughout the course. Each function box includes a table of values alongside traditional and calculator graphs, as well as the domain, range, and other specific information about the function.
  • Use of Technology  As in the previous edition, we have integrated the use of graphing calculators where appropriate, although graphing technology is not a central feature of this text. We continue to stress that graphing calculators are an aid to understanding and that students must master the underlying mathematical concepts first. We have included graphing calculator solutions for selected examples and continue to mark all graphing calculator notes and exercises that use graphing calculators with an icon for easy identification and added flexibility. This graphing calculator material is optional and can be omitted without loss of continuity.
  • Cautions and Notes  We often give students warnings of common errors and emphasize important ideas in Caution and Note comments that appear throughout the exposition.
  • Looking Ahead to Calculus  These margin notes offer glimpses of how the trigonometric topics currently being studied are used in calculus.
  • Connections  This boxed feature provides connections to the real world or to other mathematical concepts, as well as historical backgrounds, and thought-provoking questions for writing, class discussion, or group work. As requested by users, this edition features several new Connections.
  • Exercise Sets  The exercise sets have been a key focus in this revision. Approximately 25% of the exercises are new. As a result, the text includes more problems than ever to provide students with ample opportunities to practice, apply, connect, and extend concepts and skills. We have included writing exercises and optional graphing calculator problems as well as multiple-choice, matching, true/false, and completion problems. Exercises marked Concept Check focus on mathematical thinking and conceptual understanding. By request, new Connecting Graphs with Equations problems provide students with opportunities to write equations for given graphs.
  • Relating Concepts Exercises  Appearing in selected exercise sets, these sets of problems help students tie together topics and develop problem-solving skills as they compare and contrast ideas, identify and describe patterns, and extend concepts to new situations. These exercises make great collaborative activities for pairs or small groups of students.
  • Solutions to Selected Exercises  Exercise numbers enclosed in a blue circle indicate that a complete solution for the problem is included at the back of the text. These solutions are given for selected exercises that extend the skills and concepts presented in the section examples. There are 3 to 5 per section.
  • Quizzes  To allow students to periodically check their understanding of the material covered, a short quiz appears in each chapter.
  • Summary Exercises  These sets of in-chapter exercises provide students with the all-important mixed review problems they need to synthesize concepts and select appropriate solution methods.
  • Chapter Reviews  Each chapter ends with a more extensive Summary, featuring a section-by-section list of Key Terms, New Symbols, and a Quick Review of important Concepts, presented alongside corresponding Examples. A comprehensive set of Review Exercises and a Chapter Test are also provided. Based on our feedback from users, all Chapter Tests have been revised and expanded.
  • Quantitative Reasoning  These end-of-chapter problems enable students to apply algebraic concepts to real-life situations, such as financial planning for retirement or determining the value of a college education.
  • Glossary  As an additional student study aid, a comprehensive glossary of key terms from throughout the text is provided at the back of the book.

There are many places in the text where the authors have polished individual presentations and added examples, exercises, and applications based on reviewer feedback. Some of the changes include the following:

  • There are over 600 new and updated exercises, many of which are devoted to skill development, as well as new Concept Check, Connecting Equations with Graphs, and Quiz problems.
  • New Connections have been incorporated in Sections 1.2, 3.3, 5.3, and 7.3.
  • Every section in Chapter 4 on Graphs of Circular Functions now features new Connecting Graphs with Equations exercises, including a new example in Section 4.4.
  • Former Section 4.3 has been expanded and divided into two sections. Section 4.3 covers graphs of the tangent and cotangent functions, while new Section 4.4 now presents the graphs of the secant and cosecant functions.
  • Chapter 7 now includes a new set of Summary Exercises on Applications of Trigonometry and Vectors.
  • In addition to the new quiz in each chapter, all chapter tests have been revised and expanded.
  • Additionally, the following topics have been expanded:

                    Coverage of complementary, supplementary, and quadrantal angles (Section 1.1)

                    Examples of signs and ranges of trigonometric function values (Section 1.4)

                    Discussion of significant digits (Section 2.4)

                    Presentation of radian measure and the unit circle (Sections 3.1 and 3.3)

                    Graphs of inverse trigonometric functions (Section 6.1)

1. The Trigonometric Functions.

Angles.

Angle Relationships and Similar Triangles.
Trigonometric Functions.

Using the Definitions of the Trigonometric Functions.



2. Acute Angles and Right Triangles.

Trigonometric Functions of Acute Angles.

Trigonometric Functions of Non-Acute Angles.

Finding Trigonometric Function Values Using a Calculator.

Solving Right Triangles.

Further Applications of Right Triangles.



3. Radian Measure and the Circular Functions.

Radian Measure.

Applications of Radian Measure.

The Unit Circle and Circular Functions.

Linear and Angular Speed.



4. Graphs of the Circular Functions.

Graphs of the Sine and Cosine Functions.

Translations of the Graphs of the Sine and Cosine Functions.

Graphs of the Tangent and Cotangent Functions.

Graphs of the Secant and Cosecant Functions.

Harmonic Motion.



5. Trigonometric Identities.

Fundamental Identities.

Verifying Trigonometric Identities.

Sum and Difference Identities for Cosine.

Sum and Difference Identities for Sine and Tangent.

Double-Angle Identities.

Half-Angle Identities.



6. Inverse Circular Functions and Trigonometric Equations.

Inverse Circular Functions.

Trigonometric Equations I.

Trigonometric Equations II.

Equations Involving Inverse Trigonometric Functions.



7. Applications of Trigonometry and Vectors.

Oblique Triangles and the Law of Sines.

The Ambiguous Case of the Law of Sines.

The Law of Cosines.

Vectors, Operations, and the Dot Product.

Applications of Vectors.



8. Complex Numbers, Polar Equations, and Parametric Equations.

Complex Numbers.

Trigonometric (Polar) Form of Complex Numbers.

The Product and Quotient Theorems.

DeMoivre's Theorem; Powers and Roots of Complex Numbers.

Polar Equations and Graphs.

Parametric Equations, Graphs, and Applications.




Appendix A: Equations and Inequalities.
Appendix B: Graphs of Equations.
Appendix C: Functions.
Appendix D: Graphing Techniques.


Glossary.
Solutions to Selected Exercises.
Answers to Selected Exercises.
Index of Applications.
Index.

    Focusing on helping students to develop both the conceptual understanding and the analytical skills necessary to experience success in mathematics, we present each mathematical topic in this text using a carefully developed learning system to actively engage students in the learning process. We have tried to address the diverse needs of today's students through a more open design, updated figures and graphs, helpful features, careful explanations of topics, and a comprehensive package of supplements and study aids. Students will benefit from the text's student-oriented approach. We believe instructors will particularly welcome the new Annotated Instructor's Edition, which provides answers in the margin to almost all exercises, plus helpful Teaching Tips.

  • 0321227360Trigonometry, 8/E
    Lial, Hornsby & Schneider
    © 2005 | Addison-Wesley | Cloth; 552 pages | Instock
    ISBN-10: 0321227360 | ISBN-13: 9780321227362
    Brief Description

Marge Lial has always been interested in math; it was her favorite subject in the first grade! Marge's intense desire to educate both her students and herself has inspired the writing of numerous best-selling textbooks. Marge, who received Bachelor's and Master's degrees from California State University at Sacramento, is now affiliated with American River College. Marge is an avid reader and traveler. Her travel experiences often find their way into her books as applications, exercise sets, and feature sets. She is particularly interested in archeology. Trips to various digs and ruin sites have produced some fascinating problems for her textbooks involving such topics as the building of Mayan pyramids and the acoustics of ancient ball courts in the Yucatan.

When John Hornsby enrolled as an undergraduate at Louisiana State University, he was uncertain whether he wanted to study mathematics education or journalism. His ultimate decision was to become a teacher, but after twenty-five years of teaching at the high school and university levels and fifteen years of writing mathematics textbooks, both of his goals have been realized. His love for both teaching and for mathematics is evident in his passion for working with students and fellow teachers as well. His specific professional interests are recreational mathematics, mathematics history, and incorporating graphing calculators into the curriculum. John's personal life is busy as he devotes time to his family (wife Gwen, and sons Chris, Jack, and Josh). He has been a rabid baseball fan all of his life. John's other hobbies include numismatics (the study of coins) and record collecting. He loves the music of the 1960s and has an extensive collection of the recorded works of Frankie Valli and the Four Seasons.

David Schneider has taught mathematics at universities for over 34 years and has authored 36 books. He has an undergraduate degree in mathematics from Oberlin College and a PhD in mathematics from MIT. During most of his professional career, he was on the faculty of the University of Maryland--College Park. His hobbies include travel, dancing, bicycling, and hiking.

View a Sample Chapter PDF:

For Plane Trigonometry


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