Trigonometry, CourseSmart eTextbook, 3rd Edition

Published Date: Jan 22, 2010

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Description

Dugopolski’s Trigonometry 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.
CourseSmart textbooks do not include any media or print supplements that come packaged with the bound book.

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