Higher Education

College Trigonometry, 6th Edition

  • Richard N. Aufmann Palomar College
  • Vernon C. Barker Palomar College
  • Richard D. Nation Palomar College
  • ISBN-10: 061882507X  |  ISBN-13: 9780618825073
  • 640 Pages
  • Previous Editions: 2005, 2002, 1997
  • © 2008 | Published
  • College Bookstore Wholesale Price = $225.75
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About

Overview

Accessible to students and flexible for instructors, College Trigonometry, Sixth Edition, uses the dynamic link between concepts and applications to bring mathematics to life. By incorporating interactive learning techniques, the Aufmann team helps students to better understand concepts, work independently, and obtain greater mathematical fluency. The text also includes technology features to accommodate courses that allow the option of using graphing calculators. Additional program components that support student success include Eduspace tutorial practice, online homework, SMARTHINKING Live Online Tutoring, and Instructional DVDs.The authors' proven Aufmann Interactive Method allows students to try a skill as it is presented in example form. This interaction between the examples and Try Exercises serves as a checkpoint to students as they read the textbook, do their homework, or study a section. In the Sixth Edition, Review Notes are featured more prominently throughout the text to help students recognize the key prerequisite skills needed to understand new concepts.

Features and Benefits

  • Updated! End-of-chapter exercises--Assessing Concepts--have been revised to include more question types including fill-in-the-blank, multiple choice, and matching.
  • Revised! Prepare for This Section exercises, formerly Prepare for the Next Section, have been moved from the end of each chapter to the beginning of each chapter and afford students the opportunity to test their understanding of prerequisite skills about to be covered.
  • Applications require students to use problem-solving strategies and new skills to solve practical problems. Covering topics from many disciplines, including agriculture, business, chemistry, education, and sociology, these problems demonstrate to students the practicality and value of algebra.
  • Noted by a pie chart icon, Real Data examples and exercises require students to analyze and construct mathematical models from actual situations.
  • Appearing throughout the text, Integrating Technology notes offer relevant information about using graphing calculators as an alternative way to solve a problem. Step-by-step instructions allow students to use technology with confidence.
  • Exploring Concepts with Technology, an optional end-of-chapter feature, uses technology (graphing calculators, CAS, etc.) to explore ideas covered in the chapter. These investigations can be used in a variety of ways, such as group projects or extra-credit assignments. Together with Integrating Technology tips, this feature makes the text appropriate for courses that allow the use of graphing calculators.

Table of Contents

Note: Each chapter ends with "Exploring Concepts with Technology," a Chapter Summary, Assessing Concepts, Review Exercises, "Quantitative Reasoning," a Chapter Test, and Cumulative Review Exercises.
1. Functions and Graphs
1.1 Equations and Inequalities
1.2 A Two-Dimensional Coordinate System and Graphs
1.3 Introduction to Functions
1.4 Properties of Graphs
1.5 The Algebra of Functions
1.6 Inverse Functions
1.7 Modeling Data Using Regression
2. Trigonometric Functions
2.1 Angles and Arcs
2.2 Right Angle Trigonometry
2.3 Trigonometric Functions of Any Angle
2.4 Trigonometric Functions of Real Numbers
2.5 Graphs of the Sine and Cosine Functions
2.6 Graphs of the Other Trigonometric Functions
2.7 Graphing Techniques
2.8 Harmonic Motion--An Application of the Sine and Cosine Functions
3. Trigonometric Identities and Equations
3.1 Verification of Trigonometric Identities
3.2 Sum, Difference, and Cofunction Identities
3.3 Double- and Half-Angle Identities
3.4 Identities Involving the Sum of Trigonometric Functions
3.5 Inverse Trigonometric Functions
3.6 Trigonometric Equations
4. Applications of Trigonometry
4.1 The Law of Sines
4.2 The Law of Cosines and Area
4.3 Vectors
5. Complex Numbers
5.1 Complex Numbers
5.2 Trigonometric Form of Complex Numbers
5.3 De Moivre's Theorem
6. Topics in Analytic Geometry
6.1 Parabolas
6.2 Ellipses
6.3 Hyperbolas
6.4 Rotation of Axes
6.5 Introduction to Polar Coordinates
6.6 Polar Equations of the Conics
6.7 Parametric Equations
7. Exponential and Logarithmic Functions
7.1 Exponential Functions and Their Applications
7.2 Logarithmic Functions and Their Applications
7.3 Properties of Logarithms and Logarithmic Scales
7.4 Exponential and Logarithmic Functions
7.5 Exponential Growth and Decay
7.6 Modeling Data with Exponential and Logarithmic Functions

What's New

  • New! Calculus Connection icons have been added to indicate topics that will be revisited in subsequent courses, laying the groundwork for further study.
  • New! A Quantitative Reasoning feature demonstrates math solutions to real-world problems and is compliant with MAA Guidelines and AMATYC 2006 Crossroads Revisited.

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

Student Solutions Manual  (ISBN-10: 0618825088 | ISBN-13: 9780618825080)

Prepare for exams and succeed in your mathematics course with this comprehensive solutions manual! Featuring worked out-solutions to the problems in COLLEGE TRIGONOMETRY, 6th Edition, this manual shows you how to approach and solve problems using the same step-by-step explanations found in your textbook examples.

List Price = $97.95  | CengageBrain Price = $97.95  | College Bookstore Wholesale Price = $73.50

HM Testing  (ISBN-10: 0618825096 | ISBN-13: 9780618825097)

HM Testing (powered by Diploma), provides instructors with wide array of algorithmic items along with improved functionality and ease of use. HM Testing offers all the tools needed to create, author, deliver, and customize multiple types of tests--including authoring and editing algorithmic questions. In addition to producing an unlimited number of tests for each chapter, including cumulative tests and final exams, HM Testing also offers instructors the ability to deliver tests online, or by paper and pencil.

Student Supplements

Student Solutions Manual  (ISBN-10: 0618825088 | ISBN-13: 9780618825080)

Prepare for exams and succeed in your mathematics course with this comprehensive solutions manual! Featuring worked out-solutions to the problems in COLLEGE TRIGONOMETRY, 6th Edition, this manual shows you how to approach and solve problems using the same step-by-step explanations found in your textbook examples.

List Price = $97.95  | CengageBrain Price = $97.95  | College Bookstore Wholesale Price = $73.50

Meet the Author

Author Bio

Richard N. Aufmann

Richard Aufmann is the lead author of two bestselling developmental math series and a bestselling college algebra and trigonometry series, as well as several derivative math texts. He received a BA in mathematics from the University of California, Irvine, and an MA in mathematics from California State University, Long Beach. Mr. Aufmann taught math, computer science, and physics at Palomar College in California, where he was on the faculty for 28 years. His textbooks are highly recognized and respected among college mathematics professors. Today, Mr. Aufmann's professional interests include quantitative literacy, the developmental math curriculum, and the impact of technology on curriculum development.

Vernon C. Barker

Vernon Barker has retired from Palomar College where he was Professor of Mathematics. He is a co-author on the majority of Aufmann texts, including the best-selling developmental paperback series.

Richard D. Nation

Richard Nation received a B.A. in mathematics from Morningside College and a M.S. degree in mathematics from the University of South Dakota. Mr. Nation also attended a National Science Foundation academic year institute in mathematics at San Diego State University. Mr. Nation taught math at Palomar College in California, where he was on the faculty for 20 years. He has over 38 years’ experience teaching mathematics at the high school and college levels. He is the co-author of several Aufmann titles. Today, Mr. Nation’s professional interests include the impact of technology on curriculum development and on the teaching of mathematics at the precalculus level.