Higher Education

Trigonometry, 7th Edition

  • Charles P. McKeague Cuesta Community College
  • Mark Turner Cuesta College
  • ISBN-10: 1111826854  |  ISBN-13: 9781111826857
  • 592 Pages
  • Previous Editions: 2008, 2004, 2000
  • © 2013 | Published
  • College Bookstore Wholesale Price = $178.75
  • Newer Edition Available
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About

Overview

Gain a solid understanding of the principles of trigonometry and how these concepts apply to real life with McKeague/Turner's TRIGONOMETRY. This book's proven approach presents contemporary concepts in brief, manageable sections using current, detailed examples and interesting applications. Captivating illustrations drawn from Lance Armstrong's cycling success, the Ferris wheel, and even the human cannonball show trigonometry in action. Unique Historical Vignettes offer a fascinating glimpse at how many of the central ideas in trigonometry began.

Features and Benefits

  • A simplified, step-by-step approach to graphing introduces the sine and cosine functions first to make graphing as accessible as possible for your students. A step-by-step framing approach simplifies the graphing process throughout Chapter 4.
  • Captivating themes throughout the text highlight trigonometry concepts in action with illustrations such as the human cannonball, cycling, the Ferris wheel, sports, navigation systems, and cable cars. These intriguing themes, clearly marked with icons in the examples and problem sets, help students correlate one lesson with another throughout the course.
  • Enhanced WebAssign®: This revision is accompanied by a significant increase in the number of exercises that are included within Enhanced WebAssign®. All of the odd problems in each problem set, and in some cases a number of even problems, are now available in electronic form. This proven homework system is enhanced to include links to textbook sections, video examples, and problem-specific tutorials that clarify learning.
  • Additional unique Historical Vignettes in this edition intrigue students by providing background on the ways in which many of the central ideas in trigonometry originated.
  • Numerous interesting application problems in the book's problem sets help motivate students and stimulate their interest in trigonometry as they see how the concepts they've learned apply to everyday life.
  • Examples and exercises in the first three chapters provide a deeper understanding of the domain and range of trigonometric functions, right triangle trigonometry, and circular functions.
  • Special Getting Ready for Class sections, located before each problem set, help students thoroughly prepare for your upcoming class with exercises that require students to read the preceding section and write responses.
  • Review problems within every problem set after Chapter 1 keep important topics in front of students and make reviewing part of their daily activities.
  • Optional Graphing Calculator Exercises, clearly marked with a special icon, offer you the flexibility of including or omitting this coverage in your course, without interrupting the flow of concept presentation.
  • Appendix A provides a complete review of functions and inverse functions. This helpful review can be done in class, assigned as homework, or used as a self-study for those students who need it. This allows you to tailor the review to your students' needs.
  • Group Projects at the end of each chapter involve interesting problems or applications that relate to or extend the ideas introduced within the chapter. Projects emphasize how mathematics connect with other disciplines or illustrate real-life situations that use the principles of trigonometry. You can use projects with small student groups or assign them to individual students who need additional challenges.
  • Research Projects at the end of each chapter require students to investigate an historical topic or person that is connected to the chapter's material. These projects promote an appreciation for the rich history behind trigonometry.

Table of Contents

1. THE SIX TRIGNONMETRIC FUNCTIONS.
Angles, Degrees, and Special Triangles. The Rectangular Coordinate System. Definition I: Trigonometric Functions. Introduction to Identities. More on Identities. Summary. Test. Projects.
2. RIGHT ANGLE TRIGONOMETRY.
Definition II: Right Triangle Trigonometry. Calculators and Trigonometric Functions of an Acute Angle. Solving Right Triangles. Applications. Vectors: A Geometric Approach. Summary. Test. Projects.
3. RADIAN MEASURE.
Reference Angle. Radians and Degrees. Definition III: Circular Functions. Arc Length and Area of a Sector. Velocities. Summary. Test. Projects. Cumulative Test.
4. GRAPHING AND INVERSE FUNCTIONS.
Basic Graphs. Amplitude, Reflection, and Period. Vertical and Horizontal Translations. The Other Trigonometric Functions. Finding an Equation From its Graph. Graphing Combinations of Functions. Inverse Trigonometric Functions. Summary. Test. Projects.
5. IDENTITIES AND FORMULAS.
Proving Identities. Sum and Difference Formulas. Double-Angle Formulas. Half-Angle Formulas. Additional Identities. Summary. Test. Projects.
6. EQUATIONS.
Solving Trigonometric Equations. More on Trigonometric Equations. Trigonometric Equations Involving Multiple Angles. Parametric Equations and Further Graphing. Summary. Test. Projects. Cumulative Test.
7. TRIANGLES.
The Law of Sines. The Law of Cosines. The Ambiguous Case. The Area of a Triangle. Vectors: An Algebraic Approach. Vectors: The Dot Product. Summary. Test. Projects.
8. COMPLEX NUMBERS AND POLAR COORDINATES.
Complex Numbers. Trigonometric Form for Complex Numbers. Products and Quotients in Trigonometric Form. Roots of a Complex Number. Polar Coordinates. Equations in Polar Coordinates and Their Graphs. Summary. Test. Projects. Cumulative Test.
Appendix A: REVIEW OF FUNCTIONS.
Introduction to Functions. The Inverse of a Function.
Answers to Selected Exercises.
Index.

What's New

  • Student Learning Objectives: Each section begins with a list of student learning objectives that describe the specific, measurable knowledge and skills that students are expected to achieve. Learning objectives help the student to identify and focus on the important concepts in each section and increase the likelihood of their success by having established and clear goals. For instructors, learning objectives can help in organizing class lessons and learning activities and in creating student assessments.
  • Learning Objectives Assessments: Multiple choice questions have been added at the end of every problem set, and are designed to be used in class or outside of class to assess student learning. Each question directly corresponds to one of the student learning objectives for that section. Answers to these questions are not available to students, but are provided for instructors in the Annotated Instructor's Edition and Instructor's Solutions Manual. These problems can be especially useful for schools and institutions required to provide documentation and data relating to assessment of student learning outcomes.
  • Matched Practice Problems: In every section of this book, each example is now paired with a matched practice problem that is similar to the example. These problems give students an opportunity to practice what they have just learned before moving on to the next example. Instructors may want to use them as in-class examples or to provide guided practice activities in class. Answers are given in the answers section in the back of the book.
  • Concepts and Vocabulary: Each problem set begins with a new set of questions that focus on grasping the main ideas and understanding the vocabulary/terminology presented in that particular section. Most of these questions are short-answer, but in some cases also include matching or other formats.
  • Cumulative Tests: To help students review previous learning and better retain information, three cumulative tests have been added to the book. These are similar to the chapter tests, except that the questions pertain to all of the sections in the book up to that point. The Cumulative Tests are good resources for students studying for a midterm exam or final exam. Answers to both odd and even problems for cumulative tests are given in the back of the book.
  • New Exercises and Applications: New exercises and applications have been added in some sections to help students gain a better grasp of key concepts and to help motivate students and stimulate their interest in trigonometry.

Learning Resource Bundles

Choose the textbook packaged with the resources that best meet your course and student needs. Contact your Learning Consultant for more information.

Bundle: Text + Student Solutions Manual

ISBN-10: 1133615457  | ISBN-13: 9781133615453

List Price = $353.95  | CengageBrain Price = $353.95  | College Bookstore Wholesale Price = $266.00

This Bundle Includes:

  • Trigonometry
    List Price = $237.95  | CengageBrain Price = $237.95  | College Bookstore Wholesale Price = $178.75
  • Student Solutions Manual
    List Price = $115.95  | CengageBrain Price = $115.95  | College Bookstore Wholesale Price = $87.25


Bundle: Text + Enhanced WebAssign with eBook LOE Printed Access Card for One-Term Math and Science

ISBN-10:  1133537421  | ISBN-13:  9781133537427

List Price = $243.95  | College Bookstore Wholesale Price = $183.75

This Bundle Includes:

  • Trigonometry
    List Price = $237.95  | CengageBrain Price = $237.95  | College Bookstore Wholesale Price = $178.75
  • Enhanced WebAssign Printed Access Card for Pre-Calculus & College Algebra, Single-Term Courses
    List Price = $94.00  | College Bookstore Wholesale Price = $70.50


Printed Text + Enhanced WebAssign with eBook LOE Instant Access Code for One-Term Math and Science

ISBN-10:  1435467744 | ISBN-13:  9781435467743

List Price = $243.95  | CengageBrain Price = $243.95  | College Bookstore Wholesale Price = $183.75

This Bundle Includes:

  • Trigonometry
    List Price = $237.95  | CengageBrain Price = $237.95  | College Bookstore Wholesale Price = $178.75
  • Enhanced WebAssign Instant Access for Pre-Calculus & College Algebra, Single-Term Courses
    List Price = $94.00  | CengageBrain Price = $94.00  | College Bookstore Wholesale Price = $94.00


Supplements

All supplements have been updated in coordination with the main title. Select the main title's "About" tab, then select "What's New" for updates specific to title's edition.

For more information about these supplements, or to obtain them, contact your Learning Consultant.

Instructor Supplements

Trigonometry, 7th: Instructor's Solutions Manual  (ISBN-10: 1111989788 | ISBN-13: 9781111989781)

The Instructor's Solutions Manual includes solutions to all even numbered problems from the problem sets and all of the solutions to the problems in the chapter tests.

Trigonometry, 7th: Test Bank  (ISBN-10: 1111989745 | ISBN-13: 9781111989743)

Save time with this proven, accurate Test Bank that offers multiple tests per chapter as well as final exams. The tests combine multiple-choice, free-response, and fill-in-the-blank questions for your convenience.

Trigonometry, 7th: DVD Program  (ISBN-10: 111198977X | ISBN-13: 9781111989774)

These text-specific instructional videos provide students with visual reinforcement of concepts and explanations given in easy-to-understand terms with detailed examples and sample problems. A flexible format offers versatility for quickly accessing topics or catering lectures to self-paced, online, or hybrid courses. Closed captioning is provided for the hearing impaired.

Trigonometry, 7th: PowerLecture CD-ROM with ExamView Test Generator  (ISBN-10: 111198980X | ISBN-13: 9781111989804)

This CD-ROM (or DVD) provides the instructor with dynamic media tools for teaching. Create, deliver, and customize tests (both print and online) in minutes with ExamView® Computerized Testing Featuring Algorithmic Equations. ExamView® testing software allows instructors to quickly create, deliver, and customize tests for class in print and online formats, and features automatic grading. Includes a test bank with hundreds of questions customized directly to the text, with all questions also provided in PDF and Microsoft® Word formats for instructors who opt not to use the software component. Easily build solution sets for homework or exams using Solution Builder's online solutions manual. Microsoft® PowerPoint® lecture slides and figures from the book are also included on this CD-ROM (or DVD).

Student Solutions Manual  (ISBN-10: 1111989761 | ISBN-13: 9781111989767)

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

List Price = $115.95  | CengageBrain Price = $115.95  | College Bookstore Wholesale Price = $87.25

Text Specific DVD's for Students  (ISBN-10: 1285173147 | ISBN-13: 9781285173146)

List Price = $78.95  | CengageBrain Price = $78.95  | College Bookstore Wholesale Price = $59.00

Enhanced WebAssign Instant Access for Pre-Calculus & College Algebra, Single-Term Courses  (ISBN-10: 128585831X | ISBN-13: 9781285858319)

IMPORTANT: When purchasing this instant access code for Pre-Calculus & College Algebra, ensure that you are using it in one of the following courses: College Algebra, Trigonometry, Algebra and Trigonometry or Precalculus. Use with a different course may cause complications with access. Exclusively from Cengage Learning, Enhanced WebAssign combines exceptional mathematics content with the most powerful online homework solution, WebAssign. Enhanced WebAssign engages students with immediate feedback, rich tutorial content, and an interactive, fully customizable eBook, Cengage YouBook helping students to develop a deeper conceptual understanding of their subject matter. This access code includes access to Enhanced WebAssign and life-of-edition access to the eBook for the registered edition of that text. If your students need to retake the course and you are using the same book AND edition then they will not need to buy a new code. This instant access code will be delivered via email when purchased. If you are not certain this is the correct access code for your course, please contact your Cengage Learning Consultant.

List Price = $94.00  | CengageBrain Price = $94.00  | College Bookstore Wholesale Price = $94.00

Student Supplements

Student Solutions Manual  (ISBN-10: 1111989761 | ISBN-13: 9781111989767)

Go beyond the answers--see what it takes to get there and improve your grade! This manual provides worked-out, step-by-step solutions to the odd-numbered problems in the text. This gives you the information you need to truly understand how these problems are solved.

List Price = $115.95  | CengageBrain Price = $115.95  | College Bookstore Wholesale Price = $87.25

Text Specific DVD's for Students  (ISBN-10: 1285173147 | ISBN-13: 9781285173146)

List Price = $78.95  | CengageBrain Price = $78.95  | College Bookstore Wholesale Price = $59.00

Enhanced WebAssign Instant Access for Pre-Calculus & College Algebra, Single-Term Courses  (ISBN-10: 128585831X | ISBN-13: 9781285858319)

IMPORTANT: When purchasing this instant access code for Pre-Calculus & College Algebra, ensure that you are using it in one of the following courses: College Algebra, Trigonometry, Algebra and Trigonometry or Precalculus. Use with a different course may cause complications with access. Exclusively from Cengage Learning, Enhanced WebAssign combines exceptional mathematics content with the most powerful online homework solution, WebAssign. Enhanced WebAssign engages students with immediate feedback, rich tutorial content, and an interactive, fully customizable eBook, Cengage YouBook helping students to develop a deeper conceptual understanding of their subject matter. This access code includes access to Enhanced WebAssign and life-of-edition access to the eBook for the registered edition of that text. If you need to retake the course and your instructor is using the same book AND edition then you will not need to buy a new code. This instant access code will be delivered via email when purchased. If you are not certain this is the correct access code for your course, please contact your instructor.

List Price = $94.00  | CengageBrain Price = $94.00  | College Bookstore Wholesale Price = $94.00

Meet the Author

Author Bio

Charles P. McKeague

Charles P. "Pat" McKeague earned his B.A. in Mathematics from California State University, Northridge, and his M.S. in Mathematics from Brigham Young University. A well-known author and respected educator, he is a full-time writer and a part-time instructor at Cuesta College. He has published twelve textbooks in mathematics covering a range of topics from basic mathematics to trigonometry. An active member of the mathematics community, Professor McKeague is a popular speaker at regional conferences, including the California Mathematics Council for Community Colleges, the American Mathematical Association of Two-Year Colleges, the National Council of Teachers of Mathematics, the Texas Mathematics Association of Two-Year Colleges, the New Mexico Mathematics Association of Two-Year Colleges, and the National Association for Developmental Education. He is a member of the American Mathematics Association for Two-Year Colleges, the Mathematics Association of America, the National Council of Teachers of Mathematics, and the California Mathematics Council for Community Colleges.

Mark Turner

Mark D. Turner earned his B.A. in Mathematics from California State University, Fullerton. Professor Turner worked in the aerospace industry for two years with the Systems Modeling and Analysis group at The Aerospace Corporation before completing his graduate work at California Polytechnic State University, where he earned his M.S. in Mathematics and Secondary Teaching Credential. Turner is a full-time instructor at Cuesta College in San Luis Obispo, California. He has been a leading influence in the use of graphing calculator and multimedia technology in the classroom, as well as a leading innovator in instructional website design at his institution. Mark has also created educational materials through his own company, Turner Educational Publishing, including a series of Web-based tutorials on the use of the TI-83 graphing calculator. He is a member of the American Mathematics Association for Two-Year Colleges and the California Mathematics Council for Community Colleges, and is a frequent speaker at annual conferences. Professor Turner has received the CMC3 Award for Teaching Excellence.