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Edition: 4TH 02

Copyright: 2002

Publisher: Houghton Mifflin Harcourt

Published: 2002

International: No

Copyright: 2002

Publisher: Houghton Mifflin Harcourt

Published: 2002

International: No

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The Fourth Edition of College Trigonometry continues to promote student success by engaging students in mathematics, thus helping them see the dynamic link between concepts and applications. The authors' hallmark approach, the Aufmann Interactive Method, encourages students to interact with math by presenting an annotated example, then guiding students with a Try Exercise, and finally presenting a worked-out solution for immediate reinforcement of the concept. A wealth of new features designed to enhance learning include more in-text guidance as well as special web-based resources, and an unparalleled Instructor's Annotated Edition facilitates teaching.

- New! An Instructor's Annotated Edition, unlike any other offered for this course, features reduced student text pages with special instructor resources in the margins: teaching tips, extra examples, ideas for reinforcing concepts, discussion suggestions, highlighted vocabulary and symbols, challenge problems, quizzes, suggested assignments, and references to transparencies that may be found both in the Instructor's Resource Manual and on the web site.
- New! Side-by-Side Solutions to examples pair an algebraic solution and a graphical representation to accommodate different learning styles.
- New! Technology-dependent modeling sections introduce the idea of mathematical modeling of data through linear, quadratic, exponential, logarithmic, and logistic regression.
- New! Integrated web resources include selected Take Note boxes (identified by a special web icon) which direct students to an interactive example or a downloadable file on the web site. These special resources can be used by instructors for presentation purposes or can be assigned to students to help them 'visualize' a concept.
- New! Concept Lists now prominently feature all the major topics at the beginning of each section, preparing students for the concepts to follow.
- A wide range of applications, exercise sets, and supplemental exercises--many involving real data--encourage problem solving, skill building, group work, writing, and manipulation of graphing calculators.
- Exploring Concepts with Technology, a special end-of-chapter feature, expands on ideas introduced in the text by using technology to investigate extended mathematical applications or topics.
- Projects at the end of each exercise set are designed to encourage students (or groups of students) to research and write about mathematics and its applications. Additional Projects are included in the Instructor's Resource Manual and on the book's web site.
- Topics for Discussion, conceptual exercises included at the end of each section, can be used for discussion or writing assignments.
- Take Note and Math Matters (formerly called Point of Interest) margin notes alert students about interesting aspects of math history, applications, and points that require special attention.

Note: Each chapter concludes with a Summary, True/False Exercises, Review Exercises, and a Chapter Test.

**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

Exploring Concepts with Technology: Graphing Piecewise Functions with a Graphing Calculator

2.2 Trigonometric Functions of Acute Angles

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 Fuctions

2.7 Graphing Techniques

2.8 Harmonic Motion--An Application of the Sine and Cosine Functions

Exploring Concepts with Technology: Sinusoidal Families

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

Exploring Concepts with Technology: Approximate an Inverse Trigonometric Function with Polynomials

4.2 The Law of Cosines and Area

4.3 Vectors

Exploring Concepts with Technology: Optimal Branching of Arteries

5.2 Trigonometric Form of Complex Numbers

5.3 De Moivre's Theorem

Exploring Concepts with Technology: The Mandelbrot Replacement Procedure

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

Exploring Concepts with Technology: Using a Graphing Calculator to Find the nth Root of z

7.2 Logarithmic Functions and Their Graphs

7.3 Properties of Logarithms

7.4 Exponential and Logarithmic Equations

7.5 Applications of Exponential and Logarithmic Functions

7.6 Modeling Data with Exponential and Logarithmic Functions

Exploring Concepts with Technology: Using a Semi-Log Graph to Model Exponential Decay

Solutions to Selected Exercises

Answers to Odd-Numbered Exercises

Glossary

Index

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Summary

The Fourth Edition of College Trigonometry continues to promote student success by engaging students in mathematics, thus helping them see the dynamic link between concepts and applications. The authors' hallmark approach, the Aufmann Interactive Method, encourages students to interact with math by presenting an annotated example, then guiding students with a Try Exercise, and finally presenting a worked-out solution for immediate reinforcement of the concept. A wealth of new features designed to enhance learning include more in-text guidance as well as special web-based resources, and an unparalleled Instructor's Annotated Edition facilitates teaching.

- New! An Instructor's Annotated Edition, unlike any other offered for this course, features reduced student text pages with special instructor resources in the margins: teaching tips, extra examples, ideas for reinforcing concepts, discussion suggestions, highlighted vocabulary and symbols, challenge problems, quizzes, suggested assignments, and references to transparencies that may be found both in the Instructor's Resource Manual and on the web site.
- New! Side-by-Side Solutions to examples pair an algebraic solution and a graphical representation to accommodate different learning styles.
- New! Technology-dependent modeling sections introduce the idea of mathematical modeling of data through linear, quadratic, exponential, logarithmic, and logistic regression.
- New! Integrated web resources include selected Take Note boxes (identified by a special web icon) which direct students to an interactive example or a downloadable file on the web site. These special resources can be used by instructors for presentation purposes or can be assigned to students to help them 'visualize' a concept.
- New! Concept Lists now prominently feature all the major topics at the beginning of each section, preparing students for the concepts to follow.
- A wide range of applications, exercise sets, and supplemental exercises--many involving real data--encourage problem solving, skill building, group work, writing, and manipulation of graphing calculators.
- Exploring Concepts with Technology, a special end-of-chapter feature, expands on ideas introduced in the text by using technology to investigate extended mathematical applications or topics.
- Projects at the end of each exercise set are designed to encourage students (or groups of students) to research and write about mathematics and its applications. Additional Projects are included in the Instructor's Resource Manual and on the book's web site.
- Topics for Discussion, conceptual exercises included at the end of each section, can be used for discussion or writing assignments.
- Take Note and Math Matters (formerly called Point of Interest) margin notes alert students about interesting aspects of math history, applications, and points that require special attention.

Table of Contents

Note: Each chapter concludes with a Summary, True/False Exercises, Review Exercises, and a Chapter Test.

**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

Exploring Concepts with Technology: Graphing Piecewise Functions with a Graphing Calculator

2.2 Trigonometric Functions of Acute Angles

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 Fuctions

2.7 Graphing Techniques

2.8 Harmonic Motion--An Application of the Sine and Cosine Functions

Exploring Concepts with Technology: Sinusoidal Families

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

Exploring Concepts with Technology: Approximate an Inverse Trigonometric Function with Polynomials

4.2 The Law of Cosines and Area

4.3 Vectors

Exploring Concepts with Technology: Optimal Branching of Arteries

5.2 Trigonometric Form of Complex Numbers

5.3 De Moivre's Theorem

Exploring Concepts with Technology: The Mandelbrot Replacement Procedure

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

Exploring Concepts with Technology: Using a Graphing Calculator to Find the nth Root of z

7.2 Logarithmic Functions and Their Graphs

7.3 Properties of Logarithms

7.4 Exponential and Logarithmic Equations

7.5 Applications of Exponential and Logarithmic Functions

7.6 Modeling Data with Exponential and Logarithmic Functions

Exploring Concepts with Technology: Using a Semi-Log Graph to Model Exponential Decay

Solutions to Selected Exercises

Answers to Odd-Numbered Exercises

Glossary

Index

Publisher Info

Publisher: Houghton Mifflin Harcourt

Published: 2002

International: No

Published: 2002

International: No

The Fourth Edition of College Trigonometry continues to promote student success by engaging students in mathematics, thus helping them see the dynamic link between concepts and applications. The authors' hallmark approach, the Aufmann Interactive Method, encourages students to interact with math by presenting an annotated example, then guiding students with a Try Exercise, and finally presenting a worked-out solution for immediate reinforcement of the concept. A wealth of new features designed to enhance learning include more in-text guidance as well as special web-based resources, and an unparalleled Instructor's Annotated Edition facilitates teaching.

- New! An Instructor's Annotated Edition, unlike any other offered for this course, features reduced student text pages with special instructor resources in the margins: teaching tips, extra examples, ideas for reinforcing concepts, discussion suggestions, highlighted vocabulary and symbols, challenge problems, quizzes, suggested assignments, and references to transparencies that may be found both in the Instructor's Resource Manual and on the web site.
- New! Side-by-Side Solutions to examples pair an algebraic solution and a graphical representation to accommodate different learning styles.
- New! Technology-dependent modeling sections introduce the idea of mathematical modeling of data through linear, quadratic, exponential, logarithmic, and logistic regression.
- New! Integrated web resources include selected Take Note boxes (identified by a special web icon) which direct students to an interactive example or a downloadable file on the web site. These special resources can be used by instructors for presentation purposes or can be assigned to students to help them 'visualize' a concept.
- New! Concept Lists now prominently feature all the major topics at the beginning of each section, preparing students for the concepts to follow.
- A wide range of applications, exercise sets, and supplemental exercises--many involving real data--encourage problem solving, skill building, group work, writing, and manipulation of graphing calculators.
- Exploring Concepts with Technology, a special end-of-chapter feature, expands on ideas introduced in the text by using technology to investigate extended mathematical applications or topics.
- Projects at the end of each exercise set are designed to encourage students (or groups of students) to research and write about mathematics and its applications. Additional Projects are included in the Instructor's Resource Manual and on the book's web site.
- Topics for Discussion, conceptual exercises included at the end of each section, can be used for discussion or writing assignments.
- Take Note and Math Matters (formerly called Point of Interest) margin notes alert students about interesting aspects of math history, applications, and points that require special attention.

Note: Each chapter concludes with a Summary, True/False Exercises, Review Exercises, and a Chapter Test.

**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

Exploring Concepts with Technology: Graphing Piecewise Functions with a Graphing Calculator

2.2 Trigonometric Functions of Acute Angles

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 Fuctions

2.7 Graphing Techniques

2.8 Harmonic Motion--An Application of the Sine and Cosine Functions

Exploring Concepts with Technology: Sinusoidal Families

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

Exploring Concepts with Technology: Approximate an Inverse Trigonometric Function with Polynomials

4.2 The Law of Cosines and Area

4.3 Vectors

Exploring Concepts with Technology: Optimal Branching of Arteries

5.2 Trigonometric Form of Complex Numbers

5.3 De Moivre's Theorem

Exploring Concepts with Technology: The Mandelbrot Replacement Procedure

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

Exploring Concepts with Technology: Using a Graphing Calculator to Find the nth Root of z

7.2 Logarithmic Functions and Their Graphs

7.3 Properties of Logarithms

7.4 Exponential and Logarithmic Equations

7.5 Applications of Exponential and Logarithmic Functions

7.6 Modeling Data with Exponential and Logarithmic Functions

Exploring Concepts with Technology: Using a Semi-Log Graph to Model Exponential Decay

Solutions to Selected Exercises

Answers to Odd-Numbered Exercises

Glossary

Index