Pearson - Trigonometry, 3/E

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Description

Dugopolski’s Trigonometry, Third Edition gives students the essential strategies to help them develop the comprehension and confidence they need to be successful in this course. Students will find enough carefully placed learning aids and review tools to help them do the math without getting distracted from their objectives. Regardless of their goals beyond the course, all students will benefit from Dugopolski’s emphasis on problem solving and critical thinking, which is enhanced by the addition of nearly 1,000 exercises in this edition.

Instructors will also find this book a pleasure to use, with the support of an Annotated Instructor’s Edition which maps each group of exercises back to each example within the section; pop quizzes for every section; and answers on the page for most exercises plus a complete answer section at the back of the text. An Insider’s Guide provides further strategies for successful teaching with Dugopolski.

Features

Strategies for success. Learning aids are strategically placed throughout the text giving students guidance right when they need it.
- Chapter Openers discuss real-world situations that use mathematics from that chapter. Examples and exercises then relate back to the opening scenarios.
- Try This exercises after every example give students the opportunity to immediately try a problem that is just like the example and to check their work. Solutions are contained in the appendix of the student edition.
- Summaries of important concepts are included to help students clarify ideas that have multiple parts.
- Strategies contain general guidelines for accomplishing tasks, and are useful for sharpening students’ problem-solving skills.
- Procedures are similar to Strategies, but are more specific and more algorithmic, designed to give students a step-by-step approach for problems.
- Function Galleries show families of functions and their graphs, helping students link the visual aspects with the mathematical properties. These occurring throughout the text as appropriate, and are also gathered together at the beginning of the text for easy reference.
- Hints suggest ways of approaching a problem and give a starting point to solve the application problem. These are given for approximately five application problems in every exercise set.
- Graphing calculator discussions throughout the text support and enhance algebraic conclusions, but are not used to arrive at those conclusions. These are optional and may be skipped, although students who do not use a graphing calculator may still benefit from the graphs and technology discussions

Milestones along the way. Section exercises and review material include the following exercise types so students can practice and check their progress.
- NEW! Fill-in-the-blank exercises begin every set of section exercises helping students learn the definitions, rules, and theorems.
- For Thought exercises are ten true/false questions that review the basic concepts in the section, check student understanding before beginning the exercises, and offer opportunities for writing and discussion. Answers are included in the back of the student edition.
- Exercises are arranged by difficulty, from easy to challenging. Exercises that require a graphing calculator are marked with an icon and may be skipped.
- NEW! Cumulative review exercises at the end-of-section exercises are designed to keep current the skills learned in previous sections and chapters. These exercises are under the heading “Rethinking.”
- Writing/Discussion and Cooperative Learning Exercises deepen students’ understanding by giving them the opportunity to express mathematical ideas in writing and to their classmates during small group or team discussions.
- Thinking Outside the Box problems are designed to get students (and instructors) to do some mathematics just for fun, encouraging students to apply their creativity to unique problems. The problems can be used for individual or group work. Answers are given in the Annotated Instructor’s Edition and complete solutions can be found in the Instructor’s Solutions Manual.
- Pop Quizzes in every section of the text give instructors convenient eight- to ten-question quizzes that can be used in the classroom, covering the basic concepts. Answers are included in the Annotated Instructor’s Edition.
- Linking Concepts are multi-part exercises that require the use of concepts from previous sections to illustrate the links among various concepts. These can be found at the end of nearly every exercise set. Answers are given in the Annotated Instructor’s Edition, and full solutions can be found in the Instructor’s Solutions Manual.

Tying it all together. Chapter review material contains all of the following features to help students review and synthesize the material as they prepare for the road ahead.
- Highlights contain an overview of all of the concepts presented in the chapter along with brief examples to illustrate the concept.
- Chapter Review Exercises are designed to give students a comprehensive review of the chapter without reference to individual sections, in order to prepare them for the chapter test.
- Chapter Tests measure the students' readiness for a typical one-hour classroom test. Instructors may also use them as a model for their own end-of-chapter tests.
- EXPANDED! Tying It All Together exercises help students review selected concepts from the present and prior chapters, and require them to integrate multiple concepts and skills. These occur at the end of most chapters and have been expanded to include fill-in-the-blank vocabulary exercises.
- Index of Applications list the many applications contained within the text. The applications are page referenced and grouped by subject matter.

For instructors:

The Annotated Instructor’s Edition includes answers on the page beside the exercises for most exercises, plus a complete answer section at the back.
Example Numbers appear at the end of the direction line for nearly all groups of exercises, indicating which examples correspond to the exercises. This convenient cross-referencing appears in the Annotated Instructor’s Edition and will make it easy for instructors to assign homework problems.
Insider’s Guide This supplement includes resources to help faculty with course preparation and classroom management. Included are helpful teaching tips correlated to each section of the text as well as additional resources for classroom enrichment.

New To This Edition

Updated real-world data in examples, exercises, and chapter and section openers make the text relevant for today’s students.
Fill-in-the-blank exercises begin every set of section exercises now begins with fill-in-the-blank exercises, helping students learn the definitions, rules, and theorems.
Cumulative review exercises at the end-of-section exercises are designed to keep current the skills learned in previous sections and chapters. These exercises are under the heading “Rethinking.”
Tying It All Together exercises have been expanded to include fill-in-the-blank vocabulary exercises.
Complex Numbers The section on Complex Numbers has been moved to the end of Chapter P so that it now follows the more basic review material on polynomial operations.
Polynomial and Rational Inequalities are now solved with one method, the test-point method.
Limit notation is now introduced and used to describe the asymptotic behavior of exponential, logarithmic, rational, and trigonometric functions.

Table of Contents

P. Algebraic Prerequisites

P.1 The Cartesian Coordinate System

P.2 Functions

P.3 Families of Functions, Transformations, and Symmetry

P.4 Compositions and Inverses

Chapter P Highlights

Chapter P Review Exercises

Chapter P Test

1. Angles and the Trigonometric Functions

1.1 Angles and Degree Measure

1.2 Radian Measure, Arc Length, and Area

1.3 Angular and Linear Velocity

1.4 The Trigonometric Functions

1.5 Right Triangle Trigonometry

1.6 The Fundamental Identity and Reference Angles

Chapter 1 Highlights

Chapter 1 Review Exercises

Chapter 1 Test

2. Graphs of the Trigonometric Functions

2.1 The Unit Circle and Graphing

2.2 The General Sine Wave

2.3 Graphs of the Secant and Cosecant Functions

2.4 Graphs of the Tangent and Cotangent Functions

2.5 Combining Functions

Chapter 2 Highlights

Chapter 2 Review Exercises

Chapter 2 Test

Tying it all Together

3. Trigonometric Identities

3.1 Basic Identities

3.2 Verifying Identities

3.3 Sum and Difference Identities for Cosine

3.4 Sum and Difference Identities for Sine and Tangent

3.5 Double-Angle and Half-Angle Identities

3.6 Product and Sum Identities

Chapter 3 Highlights

Chapter 3 Review Exercises

Chapter 3 Test

Tying it all Together

4. Solving Conditional Trigonometric Equations

4.1 The Inverse Trigonometric Functions

4.2 Basic Sine, Cosine, and Tangent Equations

4.3 Multiple-Angle Equations

4.4 Trigonometric Equations of Quadratic Type

Chapter 4 Highlights

Chapter 4 Review Exercises

Chapter 4 Test

Tying it all Together

5. Applications of Trigonometry

5.1 The Law of Sines

5.2 The Law of Cosines

5.3 Area of a Triangle

5.4 Vectors

5.5 Applications of Vectors

Chapter 5 Highlights

Chapter 5 Review Exercises

Chapter 5 Test

Tying it all Together

6. Complex Numbers, Polar Coordinates, and Parametric Equations

6.1 Complex Numbers

6.2 Trigonometric Form of Complex Numbers

6.3 Powers and Roots of Complex Numbers

6.4 Polar Equations

6.5 Parametric Equations

Chapter 6 Highlights

Chapter 6 Review Exercises

Chapter 6 Test

Tying it all Together

Appendix A: Solutions to Try This Exercise

Appendix B: More Thinking Outside the Box

Answers to All Exercises

Courses

Plane Trigonometry (Mathematics)

Previous Edition(s)

Trigonometry, 2/E
Dugopolski
©2007 | Pearson | Cloth; 444 pp | Out of Print
ISBN-10: 032135690X | ISBN-13: 9780321356901
Brief Description |
This edition provides numerous strategies for success for both students and instructors. Instructors will find the book easier to use with such additions as an Annotated Instructor's Edition, instructor notes within the exercise sets, and an Insider's Guide. Students will find success through features including highlights, exercise hints, art annotations, critical thinking exercises, and pop quizzes, as well as procedures, strategies, and summaries.
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In this section:

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Author Bios

Author Bios

Mark Dugopolski was born in Menominee, Michigan. After receiving a BS from Michigan State University, he taught high school in Illinois for four years. He received an M.S. in mathematics from Northern Illinois University at DeKalb. He then received a PhD in the area of topology and an MS in statistics from the University of Illinois at Champaign–Urbana. Mark taught mathematics at Southeastern Louisiana University in Hammond for twenty-five years and now holds the rank of Professor Emeritus of Mathematics. He has been writing textbooks since 1988. He is married and has two daughters. In his spare time he enjoys tennis, jogging, bicycling, fishing, kayaking, gardening, bridge, and motorcycling.

Websites and Online Courses

In this section:

Websites and Online Courses

MathXL -- Instant Access -- for Trigonometry, 3/E
Dugopolski
©2011 | Pearson | Website | Live
ISBN-10: 0321657039 | ISBN-13: 9780321657039
Online purchase price: $50.00More Info

MyMathLabPlus for Trigonometry, 3/E
Dugopolski
©2011 | Pearson | Website | Live
ISBN-10: 0558677045 | ISBN-13: 9780558677046
Online purchase price: $92.00More Info

In this section:

Instructor Resources

Downloadable Instructor Resources
Other Instructor Resources

Student Resources

Websites and online courses
Other student resources

eLearning & Assessment

Websites and Online Courses

Course & Discipline Resources

For Plane Trigonometry
For the Mathematics Discipline

Insider's Guide to Teaching with the Dugopolski Precalculus Series, 5/E
Dugopolski
©2011 | Pearson | Paper; 168 pp | Instock
ISBN-10: 0321655400 | ISBN-13: 9780321655400

Instructor's Solutions Manual for Trigonometry, 3/E
Dugopolski
©2011 | Pearson | Paper; 316 pp | Instock
ISBN-10: 0321656962 | ISBN-13: 9780321656964

Instructor's Testing Manual (Download only) for Trigonometry, 3/E
Dugopolski
©2011 | Pearson | On-line Supplement | Live
ISBN-10: 0321656970 | ISBN-13: 9780321656971

PowerPoint Slides (Download only) for Trigonometry, 3/E
Dugopolski
©2011 | Pearson | On-line Supplement | Live
ISBN-10: 0321656989 | ISBN-13: 9780321656988

TestGen® Computerized Test Bank for Trigonometry, 3/E
Dugopolski
©2011 | Pearson | On-line Supplement | Live
ISBN-10: 0321656997 | ISBN-13: 9780321656995

Websites and online courses

Annotated Instructor's Edition for Trigonometry, 3/E
Dugopolski
©2011 | Pearson | Cloth; 432 pp | Instock
ISBN-10: 0321645588 | ISBN-13: 9780321645586
More Info

MathXL -- Instant Access -- for Trigonometry, 3/E
Dugopolski
©2011 | Pearson | Website | Live
ISBN-10: 0321657039 | ISBN-13: 9780321657039
Online purchase price: $50.00More Info

MyMathLabPlus for Trigonometry, 3/E
Dugopolski
©2011 | Pearson | Website | Live
ISBN-10: 0558677045 | ISBN-13: 9780558677046
Online purchase price: $92.00More Info

MathXL -- Instant Access -- for Trigonometry, 3/E
Dugopolski
©2011 | Pearson | Website | Live
ISBN-10: 0321657039 | ISBN-13: 9780321657039
Online purchase price: $50.00More Info

MyMathLabPlus for Trigonometry, 3/E
Dugopolski
©2011 | Pearson | Website | Live
ISBN-10: 0558677045 | ISBN-13: 9780558677046
Online purchase price: $92.00More Info

Other student resources

MathXL Tutorials on CD for Trigonometry, 3/E
Dugopolski
©2011 | Pearson | CD-ROM Only | Instock
ISBN-10: 0321657047 | ISBN-13: 9780321657046
Net price: $20.00 (What's this?)More Info

Student Solutions Manual for Trigonometry, 3/E
Dugopolski
©2011 | Pearson | Paper; 168 pp | Instock
ISBN-10: 0321657004 | ISBN-13: 9780321657008
Net price: $27.50 (What's this?)More Info

Videos on DVD wtih Optional Subtitles for Trigonometry, 3/E
Dugopolski
©2011 | Pearson | DVD | Instock
ISBN-10: 0321664841 | ISBN-13: 9780321664846
Net price: $25.00 (What's this?)More Info

For Plane Trigonometry

Algebra Review Study Card, 2/E
D'Ippolito & Generazzo
©2006 | Pearson | Study Card; 6 pp | Instock
ISBN-10: 0321394739 | ISBN-13: 9780321394736
Suggested retail price: $4.00Net price: $3.00 (What's this?)More Info

Graphing Calculator Reference Card, 3/E
Ripley
©2006 | Pearson | Study Card; 6 pp | Instock
ISBN-10: 0321394755 | ISBN-13: 9780321394750
Suggested retail price: $4.00Net price: $3.00 (What's this?)More Info

For the Mathematics Discipline

Allied Health Study Card, 2/E
Forshier
©2006 | Pearson | Study Card | Instock
ISBN-10: 0321394747 | ISBN-13: 9780321394743
Net price: $3.00 (What's this?)More Info

Basic Math Review Card, 2/E
Addison-Wesley
©2006 | Pearson | Study Card; 6 pp | Instock
ISBN-10: 0321394763 | ISBN-13: 9780321394767
Net price: $3.00 (What's this?)More Info

Center for Excellence Sticker
Addison Wesley Higher Education Group
©2000 | Pearson | Unknown / Other | Instock
ISBN-10: 0201716275 | ISBN-13: 9780201716276
Suggested retail price: $0.00Net price: $0.00 (What's this?)More Info

Concept Videos: Algebra
Addison-Wesley
©2008 | Pearson | Multiple Media Package | Instock
ISBN-10: 0321517199 | ISBN-13: 9780321517197
Suggested retail price: $36.67Net price: $27.50 (What's this?)More Info

Concept Videos: Basic Math & Prealgebra
Addison-Wesley
©2008 | Pearson | Multiple Media Package | Instock
ISBN-10: 032151758X | ISBN-13: 9780321517586
Suggested retail price: $36.67Net price: $27.50 (What's this?)More Info

Discovering Algebra: Examples with Keystrokes on the TI-83/TI-82 and TI-85/TI-86, A Laboratory Approach
Pirich & Bigliani
©1997 | Pearson | Paper; 195 pp | Instock
ISBN-10: 0136492037 | ISBN-13: 9780136492030
Net price: $35.85 (What's this?)More Info

Graphing Calculator Tutorial CD
Addison-Wesley
©2006 | Pearson | CD-ROM Only | Instock
ISBN-10: 0321357744 | ISBN-13: 9780321357748
Net price: $10.00 (What's this?)More Info

Overcoming Math Anxiety, 2/E
Davidson & Levitov
©2000 | Pearson | Paper | Instock
ISBN-10: 0321069188 | ISBN-13: 9780321069184
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Prealgebra Review Workbook
Wheel
©2006 | Pearson | Paper; 300 pp | Instock
ISBN-10: 0321473329 | ISBN-13: 9780321473325
Net price: $27.50 (What's this?)More Info

Review of Algebra, A
Howard
©2002 | Pearson | Paper; 224 pp | Instock
ISBN-10: 0201773473 | ISBN-13: 9780201773477
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Spanish Basic Math Study Card
Leonarte
©2007 | Pearson | Study Card | Instock
ISBN-10: 0321438582 | ISBN-13: 9780321438584
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TestGen All-in-One 2005 Package
Addison-Wesley
©2005 | Pearson | CD-ROM Only | Instock
ISBN-10: 0321334469 | ISBN-13: 9780321334466
Suggested retail price: $0.00Net price: $0.00 (What's this?)More Info

Websites and Online Courses

MathXL -- Instant Access -- for Trigonometry, 3/E
Dugopolski
©2011 | Pearson | Website | Live
ISBN-10: 0321657039 | ISBN-13: 9780321657039
Online purchase price: $50.00More Info

MyMathLabPlus for Trigonometry, 3/E
Dugopolski
©2011 | Pearson | Website | Live
ISBN-10: 0558677045 | ISBN-13: 9780558677046
Online purchase price: $92.00More Info

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Trigonometry plus MyMathLab/MyStatLab Student Access Code Card, 3/E
Dugopolski
©2011 | Pearson | Kit/Package/ShrinkWrap | Instock
ISBN-10: 0321624351 | ISBN-13: 9780321624352
Net price: $133.50 (What's this?)Brief Description |
Dugopolski’s Trigonometry, Third Edition gives students the essential strategies to help them develop the comprehension and confidence they need to be successful in this course. Students will find enough carefully placed learning aids and review tools to help them do the math without getting distracted from their objectives. Regardless of their goals beyond the course, all students will benefit from Dugopolski’s emphasis on problem solving and critical thinking, which is enhanced by the addition of nearly 1,000 exercises in this edition.

Instructors will also find this book a pleasure to use, with the support of an Annotated Instructor’s Edition which maps each group of exercises back to each example within the section; pop quizzes for every section; and answers on the page for most exercises plus a complete answer section at the back of the text. An Insider’s Guide provides further strategies for successful teaching with Dugopolski.
More Info
Trigonometry, A La Carte Plus MyMathLab Student Access Kit, 3/E
Dugopolski
©2011 | Pearson | Paper Package | Instock
ISBN-10: 0321665325 | ISBN-13: 9780321665324
Net price: $83.10 (What's this?)Brief Description |
Dugopolski’s Trigonometry, Third Edition gives students the essential strategies to help them develop the comprehension and confidence they need to be successful in this course. Students will find enough carefully placed learning aids and review tools to help them do the math without getting distracted from their objectives. Regardless of their goals beyond the course, all students will benefit from Dugopolski’s emphasis on problem solving and critical thinking, which is enhanced by the addition of nearly 1,000 exercises in this edition.

Instructors will also find this book a pleasure to use, with the support of an Annotated Instructor’s Edition which maps each group of exercises back to each example within the section; pop quizzes for every section; and answers on the page for most exercises plus a complete answer section at the back of the text. An Insider’s Guide provides further strategies for successful teaching with Dugopolski.
More Info
Trigonometry, Books a la Carte Edition, 3/E
Dugopolski
©2011 | Pearson | Unbound (Saleable) | Instock
ISBN-10: 0321665317 | ISBN-13: 9780321665317
Net price: $75.60 (What's this?)Brief Description |
Dugopolski’s Trigonometry, Third Edition gives students the essential strategies to help them develop the comprehension and confidence they need to be successful in this course. Students will find enough carefully placed learning aids and review tools to help them do the math without getting distracted from their objectives. Regardless of their goals beyond the course, all students will benefit from Dugopolski’s emphasis on problem solving and critical thinking, which is enhanced by the addition of nearly 1,000 exercises in this edition.

Instructors will also find this book a pleasure to use, with the support of an Annotated Instructor’s Edition which maps each group of exercises back to each example within the section; pop quizzes for every section; and answers on the page for most exercises plus a complete answer section at the back of the text. An Insider’s Guide provides further strategies for successful teaching with Dugopolski.
More Info
Trigonometry, CourseSmart eTextbook, 3/E
Dugopolski
©2011 | Pearson | Electronic Book; 544 pp | Available
ISBN-10: 0321665309 | ISBN-13: 9780321665300
Online purchase price: $66.99
Brief Description |
CourseSmart eTextbooks are a creative digital solution that offers the freedom and convenience of online, offline, and mobile access using a single platform. With a CourseSmart eTextbook, students can:
search the text
make notes online
print out reading assignments that incorporate lecture notes
bookmark important passages for later review
save money. As an alternative to purchasing the print textbook, students can subscribe to the same content online for a significant discount off the suggested list price of the print text.
For more information, or to subscribe to the CourseSmart eTextbook, visit www.coursesmart.com (for customers in U.S. and Canada) or www.coursesmart.co.uk (for customers in Europe, Middle East, and Africa).
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