Addison-Wesley / Prentice Hall

Mathematics



Trigonometry, 7/E
Margaret L. Lial, American River College
John Hornsby, University of New Orleans
David I. Schneider, University of Maryland

ISBN-10: 0321057597
ISBN-13: 9780321057594

Publisher: Addison-Wesley
Copyright: 2001
Format: Cloth; 436 pp
Status: Out of Print

Suggested retail price: $106.67
This item is out of print and is no longer available for purchase.



This book, intended for a graphing calculator optional trigonometry course, offers students the content and tools they will need to successfully master trigonometry. The authors have addressed the needs of students who will continue their study of mathematics, as well as those who are taking trigonometry as their final mathematics course. Emphasis is placed on exploring mathematical concepts by using real date, current applications and optional technology.

  • NEW! The authors have increased the number of applied examples and exercises, allowing students to focus on real-life applications of mathematics.
  • NEW! All applications are now titled to allow instructors and students to easily identify problems of interest. Many incorporate recent, source-cited data.
  • NEW! Many of the new applications feature real data, frequently in table form, thereby providing students with increased opportunity to construct, use, and analyze mathematical models.
  • NEW! Windows On Graphing. Given the ever-increasing importance of technology in mathematics, selected examples now feature traditional algebraic as well as optional graphing calculator solutions. We have taken great care to only use this format in examples where the graphing calculator can naturally be used to support and/or enhance the algebraic solution.
  • NEW! Quantitative Reasoning Problems. Now appearing at the end of selected exercise sets, these problems enable students to use algebraic concepts to make decisions about life issues.
  • NEW! Internet Projects. Some chapters now conclude with a project that students can complete individually or collaboratively using the material in the chapter and information from the textbook Web site.
  • NEW! A Web site will be available which is designed to increase students success in the course by offering an online study package including section-by-section tutorial help, Internet projects, downloadable programs for TI graphing calculators, author tips, diagnostic resources, and more.
  • NEW! A new four-color design has been developed to increase the student's interest through a more functional and visually appealing presentation.
  • HALLMARK FEATURES:
  • Chapter Themes have been enhanced and updated. Each chapter in the text features a particular industry that is introduced in the chapter opener and revisited in examples and exercises throughout the chapter. Identified by special icons, these examples and exercises incorporate real-cited source data, often in table or graph form. Featured industries include business, health care, environmental management, sports,and finance.
  • Connections boxes continue to provide connections to the real world and to other mathematical concepts and feature thought-provoking questions for writing, class discussion, or group work. We have retained only those Connections boxes that instructors felt were most valuable. Also by request, new Connections highlighting historical information have been included.
  • Relating Concepts. Previously titled Discovering Connections, these exercises appear in selected exercise sets. They tie together topics and highlight the relationships among various concepts and skills. For example, they may show how algebra and geometry are related, or how the graph of a quadratic equation is related to the solution set of the equation and its corresponding inequalities. These sets of exercises make great collaborative activities for small groups of students.
  • Cautions and Notes are included to highlight common student errors and misconceptions. Some of these address concepts that students often find difficult or confusing.
  • Ample and Varied Exercise Sets. The text contains a wealth of exercises to provide students with opportunities to practice, apply, and extend the algebraic skills they are learning. These include writing exercises and graphing calculator exercises, as well as multiple-choice, matching, true/false, and completion problems. Those problems focusing on conceptual understanding, many of which tie together multiple concepts are now titled Concept Check. More illustrations, diagrams,tables, and graphs now accompany exercises.
  • Summary. Each chapter concludes with a Summary featuring Key Terms, Symbols, and Ideas from the chapter followed by a comprehensive set of Review Exercises and a Chapter Test.

(Each chapter ends with a Summary, Chapter Review Exercises, and a Chapter Test.)

1. The Trigonometric Functions.

Basic Concepts.

Angles.

Angle Relationships and Similar Triangles.

Definitions of the 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.

Circular Functions of Real Numbers.

Linear and Angular Velocity.



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 Other Circular Functions.



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 Trigonometric Functions and Trigonometric Equations.

Inverse Trigonometric 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 and the DOT Product.

Applications of Vectors.



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

Complex Numbers.

Trigonometric (Polar) Form of Complex Numbers.

Product and Quotient Theorems.

Powers and Roots of Complex Numbers.

Polar Equations and Graphs.

Parametric Equations, Graphs, and Applications.



9. Exponential and Logarithmic Functions.

Exponential Functions.

Logarithmic Functions.

Evaluating Logarithms and the Change-of-Base Theorem.

Exponential and Logarithmic Equations.



Answers to Selected Exercises.


Index.


Index of Applications.

  • 0321227360Trigonometry, 8/E
    Lial, Hornsby & Schneider
    © 2005 | Addison-Wesley | Cloth; 552 pages | Instock
    ISBN-10: 0321227360 | ISBN-13: 9780321227362
    Brief Description
  • 0321528859Trigonometry, 9/E
    Lial, Hornsby & Schneider
    © 2009 | Addison-Wesley | Cloth; 544 pages | Instock
    ISBN-10: 0321528859 | ISBN-13: 9780321528858
    Brief Description | Buy from myPearsonStore

Marge Lial was always 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.


John Hornsby 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 ten years of writing mathematics textbooks, both of his goals have been realized. His love for 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.

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