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by Earl Swokowski and Jeffery A. Cole

Cover type: HardbackEdition: 9TH 99

Copyright: 1999

Publisher: Brooks/Cole Publishing Co.

Published: 1999

International: No

List price: $300.00

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Taking a unit-circle first approach, this proven book helps students learn, understand, and appreciate trigonometry without compromising mathematical integrity. The book incorporates the use of the graphing calculator (although use of the graphing calculator is not required). Numerous application problems are used throughout to help motivate students toward success in learning trigonometry.

- Step-by-step explanations accompany the examples and help students better understand the material.

- Graphics and scientific-calculator exercises are integrated within the text so students can apply the latest technology.

- The book features more than 1,000 pieces of mathematically precise artwork and figures.

- The book's four-color presentation enhances student understanding of concepts and motivates interest.

*"Warnings"*give students help in recognizing what errors to avoid and "Checks" remind students to verify their solutions.

- A perforated
*Quick Reference card*minimizes the need for page turning by putting key equations and graphics at student's finger tips.

- This edition places a greater emphasis on technology and graphing calculators, set up in a flexible format so professors can use as much or as little as desired.

- The appendix contains problem-solving exercises using the TI-82/83.

- Chapter one has been reworked as a stand-alone, optional review chapter.

- Expanded discussion exercises.
*New "Discussion Exercises"*have been added at the end of each chapter to promote further exploration of concepts and group work.

- Increased number of modeling applications.

- Color is used pedagogically to clearly distinguish parts of figures and includes matching, color-coded labels.

- New discussion exercises at the end of each chapter to promote further exploration of concepts and group work.

- Many engaging new exercises require students to estimate, approximate, interpret a result, create a model, explore, or find a generalization. Overall, there are an increased number of modeling applications.

**1. TOPICS FROM ALGEBRA. **

Real Numbers.

Rectangular Coordinate Systems and Graphs.

Functions. Graphs of Functions.

Inverse Functions.

Exponential and Logarithmic Functions.

Chapter 1 Review Exercises.

Chapter 1 Discussion Exercises.

**2. THE TRIGONOMETRIC FUNCTIONS. **

Angles.

The Trigonometric Functions.

Graphs of the Trigonometric Functions.

Trigonometric Functions of Angles.

Values of the Trigonometric Functions.

Trigonometric Graphs.

Additional Trigonometric Graphs.

Applied Problems.

Chapter 2 Review Exercises.

Chapter 2 Discussion Exercises.

**3. ANALYTIC TRIGONOMETRY. **

Verifying Trigonometric Identities.

Trigonometric Equations.

The Addition and Subtraction Formulas.

Multiple-Angle Formulas.

Product-to-Sum and Sum-to-Product Formulas.

The Inverse Trigonometric Functions.

Chapter 3 Review Exercises.

Chapter 3 Discussion Exercises.

**4. APPLICATIONS OF TRIGONOMETRY. **

The Law of Sines.

The Law of Cosines.

Trigonometric Form for Complex Numbers.

De Moivre's Theorem and nth Roots of Complex Numbers.

Vectors.

The Dot Product.

Chapter 4 Review Exercises.

Chapter 4 Discussion Exercises.

**5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. **

Exponential Functions.

The Natural Exponential Function.

Logarithmic Functions.

Properties of Logarithms.

Exponential and Logarithmic Equations.

Chapter 5 Review Exercises.

Chapter 5 Discussion Exercises.

**6. TOPICS FROM ANALYTIC GEOMETRY. **

Parabolas.

Ellipses.

Hyperbolas.

Plane Curves and Parametric Equations.

Polar Coordinates.

Polar Equations of Conics.

Chapter 6 Review Exercises.

Chapter 6 Discussion Exercises.

APPENDIXES.

I: Using a TI-82/83 Graphing Calculator.

II: Common Graphs and Their Equations.

III: A Summary of Graphs Transformations.

IV: Graphs of Trigonometric Functions and Their Inverses.

V: Complex Numbers.

VI: Lines

ANSWERS TO SELECTED EXERCISES.

INDEX OF APPLICATIONS.

INDEX.

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Summary

Taking a unit-circle first approach, this proven book helps students learn, understand, and appreciate trigonometry without compromising mathematical integrity. The book incorporates the use of the graphing calculator (although use of the graphing calculator is not required). Numerous application problems are used throughout to help motivate students toward success in learning trigonometry.

- Step-by-step explanations accompany the examples and help students better understand the material.

- Graphics and scientific-calculator exercises are integrated within the text so students can apply the latest technology.

- The book features more than 1,000 pieces of mathematically precise artwork and figures.

- The book's four-color presentation enhances student understanding of concepts and motivates interest.

*"Warnings"*give students help in recognizing what errors to avoid and "Checks" remind students to verify their solutions.

- A perforated
*Quick Reference card*minimizes the need for page turning by putting key equations and graphics at student's finger tips.

- This edition places a greater emphasis on technology and graphing calculators, set up in a flexible format so professors can use as much or as little as desired.

- The appendix contains problem-solving exercises using the TI-82/83.

- Chapter one has been reworked as a stand-alone, optional review chapter.

- Expanded discussion exercises.
*New "Discussion Exercises"*have been added at the end of each chapter to promote further exploration of concepts and group work.

- Increased number of modeling applications.

- Color is used pedagogically to clearly distinguish parts of figures and includes matching, color-coded labels.

- New discussion exercises at the end of each chapter to promote further exploration of concepts and group work.

- Many engaging new exercises require students to estimate, approximate, interpret a result, create a model, explore, or find a generalization. Overall, there are an increased number of modeling applications.

Table of Contents

**1. TOPICS FROM ALGEBRA. **

Real Numbers.

Rectangular Coordinate Systems and Graphs.

Functions. Graphs of Functions.

Inverse Functions.

Exponential and Logarithmic Functions.

Chapter 1 Review Exercises.

Chapter 1 Discussion Exercises.

**2. THE TRIGONOMETRIC FUNCTIONS. **

Angles.

The Trigonometric Functions.

Graphs of the Trigonometric Functions.

Trigonometric Functions of Angles.

Values of the Trigonometric Functions.

Trigonometric Graphs.

Additional Trigonometric Graphs.

Applied Problems.

Chapter 2 Review Exercises.

Chapter 2 Discussion Exercises.

**3. ANALYTIC TRIGONOMETRY. **

Verifying Trigonometric Identities.

Trigonometric Equations.

The Addition and Subtraction Formulas.

Multiple-Angle Formulas.

Product-to-Sum and Sum-to-Product Formulas.

The Inverse Trigonometric Functions.

Chapter 3 Review Exercises.

Chapter 3 Discussion Exercises.

**4. APPLICATIONS OF TRIGONOMETRY. **

The Law of Sines.

The Law of Cosines.

Trigonometric Form for Complex Numbers.

De Moivre's Theorem and nth Roots of Complex Numbers.

Vectors.

The Dot Product.

Chapter 4 Review Exercises.

Chapter 4 Discussion Exercises.

**5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. **

Exponential Functions.

The Natural Exponential Function.

Logarithmic Functions.

Properties of Logarithms.

Exponential and Logarithmic Equations.

Chapter 5 Review Exercises.

Chapter 5 Discussion Exercises.

**6. TOPICS FROM ANALYTIC GEOMETRY. **

Parabolas.

Ellipses.

Hyperbolas.

Plane Curves and Parametric Equations.

Polar Coordinates.

Polar Equations of Conics.

Chapter 6 Review Exercises.

Chapter 6 Discussion Exercises.

APPENDIXES.

I: Using a TI-82/83 Graphing Calculator.

II: Common Graphs and Their Equations.

III: A Summary of Graphs Transformations.

IV: Graphs of Trigonometric Functions and Their Inverses.

V: Complex Numbers.

VI: Lines

ANSWERS TO SELECTED EXERCISES.

INDEX OF APPLICATIONS.

INDEX.

Publisher Info

Publisher: Brooks/Cole Publishing Co.

Published: 1999

International: No

Published: 1999

International: No

Taking a unit-circle first approach, this proven book helps students learn, understand, and appreciate trigonometry without compromising mathematical integrity. The book incorporates the use of the graphing calculator (although use of the graphing calculator is not required). Numerous application problems are used throughout to help motivate students toward success in learning trigonometry.

- Step-by-step explanations accompany the examples and help students better understand the material.

- Graphics and scientific-calculator exercises are integrated within the text so students can apply the latest technology.

- The book features more than 1,000 pieces of mathematically precise artwork and figures.

- The book's four-color presentation enhances student understanding of concepts and motivates interest.

*"Warnings"*give students help in recognizing what errors to avoid and "Checks" remind students to verify their solutions.

- A perforated
*Quick Reference card*minimizes the need for page turning by putting key equations and graphics at student's finger tips.

- This edition places a greater emphasis on technology and graphing calculators, set up in a flexible format so professors can use as much or as little as desired.

- The appendix contains problem-solving exercises using the TI-82/83.

- Chapter one has been reworked as a stand-alone, optional review chapter.

- Expanded discussion exercises.
*New "Discussion Exercises"*have been added at the end of each chapter to promote further exploration of concepts and group work.

- Increased number of modeling applications.

- Color is used pedagogically to clearly distinguish parts of figures and includes matching, color-coded labels.

- New discussion exercises at the end of each chapter to promote further exploration of concepts and group work.

- Many engaging new exercises require students to estimate, approximate, interpret a result, create a model, explore, or find a generalization. Overall, there are an increased number of modeling applications.

**1. TOPICS FROM ALGEBRA. **

Real Numbers.

Rectangular Coordinate Systems and Graphs.

Functions. Graphs of Functions.

Inverse Functions.

Exponential and Logarithmic Functions.

Chapter 1 Review Exercises.

Chapter 1 Discussion Exercises.

**2. THE TRIGONOMETRIC FUNCTIONS. **

Angles.

The Trigonometric Functions.

Graphs of the Trigonometric Functions.

Trigonometric Functions of Angles.

Values of the Trigonometric Functions.

Trigonometric Graphs.

Additional Trigonometric Graphs.

Applied Problems.

Chapter 2 Review Exercises.

Chapter 2 Discussion Exercises.

**3. ANALYTIC TRIGONOMETRY. **

Verifying Trigonometric Identities.

Trigonometric Equations.

The Addition and Subtraction Formulas.

Multiple-Angle Formulas.

Product-to-Sum and Sum-to-Product Formulas.

The Inverse Trigonometric Functions.

Chapter 3 Review Exercises.

Chapter 3 Discussion Exercises.

**4. APPLICATIONS OF TRIGONOMETRY. **

The Law of Sines.

The Law of Cosines.

Trigonometric Form for Complex Numbers.

De Moivre's Theorem and nth Roots of Complex Numbers.

Vectors.

The Dot Product.

Chapter 4 Review Exercises.

Chapter 4 Discussion Exercises.

**5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. **

Exponential Functions.

The Natural Exponential Function.

Logarithmic Functions.

Properties of Logarithms.

Exponential and Logarithmic Equations.

Chapter 5 Review Exercises.

Chapter 5 Discussion Exercises.

**6. TOPICS FROM ANALYTIC GEOMETRY. **

Parabolas.

Ellipses.

Hyperbolas.

Plane Curves and Parametric Equations.

Polar Coordinates.

Polar Equations of Conics.

Chapter 6 Review Exercises.

Chapter 6 Discussion Exercises.

APPENDIXES.

I: Using a TI-82/83 Graphing Calculator.

II: Common Graphs and Their Equations.

III: A Summary of Graphs Transformations.

IV: Graphs of Trigonometric Functions and Their Inverses.

V: Complex Numbers.

VI: Lines

ANSWERS TO SELECTED EXERCISES.

INDEX OF APPLICATIONS.

INDEX.