Always Learning

Trigonometry
Mark DugopolskiSoutheastern Louisiana University

ISBN-10: 0201703386
ISBN-13:  9780201703382

Publisher:  Pearson
Copyright:  2003
Format:  Cloth; 420 pp
Published:  07/31/2002
We're sorry, this product is no longer available and has been replaced with Annotated Instructor's Edition for Trigonometry, 2/E.

Please contact your Pearson rep if you are using this product and need instructor resources.


Print this content

In this section:


Description

This text is designed for a variety of students with different mathematical needs. For those students who will take additional mathematics, the text will provide the proper foundation of skills, understanding, and insights necessary for success in further courses. For those students who will not pursue further mathematics, the extensive emphasis on applications and modeling will demonstrate the usefulness and applicability of mathematics in the world today. Many of the applied problems in this text are actually real problems that people have had to solve on the job. With an emphasis on problem solving, this text provides students with an excellent opportunity to sharpen their reasoning and thinking skills. With increased critical thinking skills, students will have the confidence they need to tackle whatever future problems they may encounter inside and outside the classroom.

This text is technology optional. With this approach, teachers will be able to offer either a technology-oriented course or a course that does not make use of technology. For departments requiring both options, this text provides the advantage of flexibility.


Features

  • Chapter Opener. Each chapter begins with a discussion of a real-world situation in which the mathematics of the chapter is used. Examples and exercises that relate back to the opener are included within the chapter.
  • Applications. Hundreds of exercises based on and involving applications of real-world situations are included in this text. The emphasis of these exercises is on understanding concepts and relationships.
  • Regression Problems. Many regression problems have been included in this text, so that students can start with real data, and use a calculator to obtain mathematical models of real problem situations.
  • Graphing Calculator Discussions. Optional graphing calculator discussions have been integrated into this text, and are set off by graphing calculator icons so that they can be easily skipped by those not using this technology.
  • Highlights. This end-of-chapter feature presents an overview of each section of the chapter and is a useful summary of the basic information that students should master in that chapter.
  • Linking Concepts. This feature is located at the end of nearly every exercise set. It is a multi-part exercise or exploration that can be used for individual or group work. The idea of this feature is to use a concept from the current section along with concepts from previous sections, and to ask questions that help students see the links between various concepts.
  • For Thought. Each exercise set begins with a set of true or false questions that review the basic concepts in that section, help check student understanding before beginning the exercises, and offer opportunities for writing and/or discussion.
  • Graphing Calculator Exercises. Exercises that require a graphing calculator are optional and are marked with an icon.
  • Chapter Review Exercises. These exercises are designed to help students review the chapter without referencing individual sections and to prepare students for the Chapter Test.
  • Chapter Test. The problems in the Chapter Test are designed to help students measure their readiness for a classroom test. Instructors may use them as a model for their own end-of-chapter tests.
  • Tying It All Together. These exercises help students review selected concepts from present and prior chapters. They require students to integrate multiple concepts and skills.


New To This Edition

  • Now Try Exercises. Following every example, these notes encourage students to "now try" a related problem in the exercise set so that they can immediately and easily test their comprehension as they read through the material.


Table of Contents



P. Algebraic Prerequisites.

The Cartesian Coordinate System.

Functions.

Families of Functions, Transformations, and Symmetry.

Compositions and Inverses.



1. Angles and the Trigonometric Functions.

Angles and Degree Measure.

Radian Measure, Arc Length, and Area.

Angular and Linear Velocity.

The Trigonometric Functions.

The Fundamental Identity and Reference Angles.

Right Triangle Trigonometry.



2. Graphs of the Trigonometric Functions.

Graphs of the Sine and Cosine Functions.

The General Sine Wave.

Graphs of the Tangent and Cotangent Functions.

Graphs of the Secant and Cosecant Functions.

Combining Functions.



3. Trigonometric Identities.

Basic Identities.

Verifying Identities.

Sum and Difference Identities for Cosine.

Sum and Difference Identities for Sine and Tangent.

Double-Angle and Half-Angle Identities.

Product and Sum Identities.



4. Solving Conditional Trigonometric Equations.

The Inverse Trigonometric Functions.

Basic Sine, Cosine, and Tangent Equations.

Multiple Angle Equations.

Trigonometric Equations of the Quadratic Type.



5. Applications of Trigonometry.

The Law of Sines.

The Law of Cosines.

Area.

Vectors.



6. Complex Numbers, Polar Coordinates, and Parametric Equations.

Complex Numbers.

Trigonometric Form of Complex Numbers.

Powers and Roots of Complex Numbers.

Polar Equations.

Parametric Equations.



Back to top

Print this content

In this section:


Author Bios

Mark Dugopolski was born in Menominee, Michigan. After receiving a B.S. from Michigan State University, he taught high school for four years, and then went on to receive an M.S. in mathematics from Northern Illinois University. He also received a Ph.D. in the area of topology from the University of Illinois at Champaign-Urbana, and ever since, Mark has been teaching at Southeastern Louisiana in Hammond, LA. He has been writing textbooks for about fifteen years. He is married and has two daughters, and enjoys playing tennis, jogging, and riding his bicycle in his spare time. Despite the presence of sailboats both on and in his precalculus textbooks, Mark does not sail-- it's his passion for showing students how mathematics is used in the real world that led him to the world of sailing.

Back to top

Print this content

In this section:

MathXL -- Instant Access
Dugopolski
©2003  |  Pearson  |  On-line Supplement  |  Live
ISBN-10: 0321156870  |  ISBN-13: 9780321156877
More Info

MyMathLab/MyStatLab -- Instructor Access Card, 4/E
Pearson Education
©2008  |  Pearson  |  Paper Package  |  Instock
ISBN-10: 0321199928  |  ISBN-13: 9780321199928
More Info

Back to top


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
More Info

Graphing Calculator Reference Card, 3/E
Ripley
©2006  |  Pearson  |  Study Card; 6 pp  |  Instock
ISBN-10: 0321394755  |  ISBN-13: 9780321394750
More Info


Back to top

For the Mathematics Discipline

Allied Health Study Card, 2/E
Forshier
©2006  |  Pearson  |  Study Card  |  Instock
ISBN-10: 0321394747  |  ISBN-13: 9780321394743
More Info

Basic Math Review Card, 2/E
Addison Wesley Higher Education
©2006  |  Pearson  |  Study Card; 6 pp  |  Instock
ISBN-10: 0321394763  |  ISBN-13: 9780321394767
More Info

Center for Excellence Sticker
Addison Wesley Higher Education Group
©2000  |  Pearson  |  Unknown / Other  |  Instock
ISBN-10: 0201716275  |  ISBN-13: 9780201716276
More Info

Concept Videos: Algebra
Addison Wesley Higher Education
©2008  |  Pearson  |  Multiple Media Package  |  Instock
ISBN-10: 0321517199  |  ISBN-13: 9780321517197
More Info

Concept Videos: Basic Math & Prealgebra
Addison Wesley Higher Education
©2008  |  Pearson  |  Multiple Media Package  |  Instock
ISBN-10: 032151758X  |  ISBN-13: 9780321517586
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
More Info

Graphing Calculator Tutorial CD
Addison Wesley Higher Education
©2006  |  Pearson  |  CD-ROM Only  |  Instock
ISBN-10: 0321357744  |  ISBN-13: 9780321357748
More Info

Overcoming Math Anxiety, 2/E
Davidson & Levitov
©2000  |  Pearson  |  Paper  |  Instock
ISBN-10: 0321069188  |  ISBN-13: 9780321069184
More Info

Prealgebra Review Workbook
Wheel
©2006  |  Pearson  |  Paper; 300 pp  |  Instock
ISBN-10: 0321473329  |  ISBN-13: 9780321473325
More Info

Review of Algebra, A
Howard
©2002  |  Pearson  |  Paper; 224 pp  |  Instock
ISBN-10: 0201773473  |  ISBN-13: 9780201773477
More Info

Spanish Basic Math Study Card
Leonarte
©2007  |  Pearson  |  Study Card  |  Instock
ISBN-10: 0321438582  |  ISBN-13: 9780321438584
More Info

TestGen All-in-One 2005 Package
Addison Wesley Higher Education
©2005  |  Pearson  |  CD-ROM Only  |  Instock
ISBN-10: 0321334469  |  ISBN-13: 9780321334466
More Info


Back to top

Print this content

Pearson Higher Education offers special pricing when you choose to package your text with other student resources. If you're interested in creating a cost-saving package for your students contact your Pearson Higher Education representative.

Back to top