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by Ron Larson and Robert P. Hostetler

Edition: 5TH 01Copyright: 2001

Publisher: Houghton Mifflin Harcourt

Published: 2001

International: No

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- New! Interactive Trigonometry 2.0 CD-ROM provides detailed solutions to every odd exercise in the text, self-assessment testing, a built-in Meridian Graphing Calculator Emulator, animations, video clips, simulations and editable graphs, and the entire contents of the text. For those who prefer a web-based program, Internet Trigonometry 1.0 is an interactive text-specific subscription web site offering all of the above features plus opportunities for interaction online with peers and instructors.
- New! Four new student success tools designed to help students approach the material with confidence include a chapter-opening guide, How to study this chapter; section-opening objectives and real-life applications, What you should learn and Why you should learn it; and chapter summaries, What did you learn?
- New! Each exercise set now concludes with Synthesis Exercises, promoting further exploration, critical thinking, and writing; and ReviewExercises.
- Abundant current, real-life applications are integrated throughout the examples and exercises and indicated by a globe icon.
- The wide variety of computational, conceptual, and applied problems are graded in difficulty.
- Special Algebra of Calculus exercises help prepare students for the future study of calculus.
- Exploration sections introduce select topics to engage students in active discovery of mathematical concepts and relationships, often using the power of technology.
- Carefully chosen examples contain step-by-step solutions and side-by-side explanations that lead students through mathematical concepts.
- Additional learning tools are placed throughout the text to create a rich learning environment: Study Tips, Historical Notes, Writing about Mathematics, Chapter projects, Chapter Review Exercises, Chapter Tests, Cumulative Tests, and an extensive art program.
- Optional use of graphing technology is integrated throughout the text.

**Larson, Ron : Pennsylvania State University Erie-Behrend College **

** Hostetler, Robert P. : Pennsylvania State University Erie-Behrend College**

Note: Each chapter contains a Chapter Summary, Review Exercises, and a Chapter Test.

P. Prerequisites

P.1 Real Numbers

P.2 Solving Equations

P.3 The Cartesian Plane and Graphs of Equations

P.4 Linear Equations in Two Variables

P.5 Functions

P.6 Analyzing Graphs of Functions

P.7 Shifting, Reflecting, and Stretching Graphs

P.8 Combinations of Functions

P.9 Inverse Functions

Chapter Project: A Graphical Approach to Maximization

1. Trigonometry

1.1 Radian and Degree Measure

1.2 Trigonometric Functions: The Unit Circle

1.3 Right Triangle Trigonometry

1.4 Trigonometric Functions of Any Angle

1.5 Graphs of Sine and Cosine Functions

1.6 Graphs of Other Trigonometric Functions

1.7 Inverse Trigonometric Functions

1.8 Applications and Models

Chapter Project: Analyzing a Graph

2. Analytic Trigonometry

2.1 Using Fundamental Identities

2.2 Verifying Trigonometric Identities

2.3 Solving Trigonometric Equations

2.4 Sum and Difference Formulas

2.5 Multiple-Angle and Product-to-Sum Formulas

Chapter Project: Projectile Motion

3. Additional Topics in Trigonometry

3.1 Law of Sines

3.2 Law of Cosines

3.3 Vectors in the Plane

3.4 Vectors and Dot Products

Chapter Project: Adding Vectors Graphically

Cumulative Test for Chapters 1-3

4. Complex Numbers

4.1 Complex Numbers

4.2 Complex Solutions of Equations

4.3 Trigonometric Form of a Complex Number

4.4 DeMoivre's Theorem

Chapter Project: Using a Graphing Utility to Create Fractals

5. Exponential and Logarithmic Functions

5.1 Exponential Functions and Their Graphs

5.2 Logarithmic Functions and Their Graphs

5.3 Properties of Logarithms

5.4 Exponential and Logarithmic Equations

5.5 Exponential and Logarithmic Models

Chapter Project: Graphical Approach to Compound Interest

6. Topics in Analytic Geometry

6.1 Lines

6.2 Introduction to Conics: Parabolas

6.3 Ellipses

6.4 Hyperbolas

6.5 Rotation of Conics

6.6 Parametric Equations

6.7 Polar Coordinates

6.8 Graphs of Polar Equations

6.9 Polar Equations of Conics

Chapter Project: Polar, Rectangular, and Parametric Forms

Cumulative Test for Chapters 4-6

Appendices:

A. Proofs of Selected Theorems.

B. Concepts in Statistics.

B.1 Representing Data.

B.2 Measures of Central Tendency and Dispersion.

B.3 Least Squares Regression

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Summary

As the best-seller in its field, Trigonometry, 5/e, offers both instructors and students a more solid, comprehensive, and flexible program than ever before. Designed for the one- or two-term precalculus course, the text introduces trigonometry first with a unit circle approach and then with the right triangle. The text's unparalleled exercises, motivating real-life applications, cutting-edge design, and innovative ancillaries and technology resources make it the most complete program available.

- New! Interactive Trigonometry 2.0 CD-ROM provides detailed solutions to every odd exercise in the text, self-assessment testing, a built-in Meridian Graphing Calculator Emulator, animations, video clips, simulations and editable graphs, and the entire contents of the text. For those who prefer a web-based program, Internet Trigonometry 1.0 is an interactive text-specific subscription web site offering all of the above features plus opportunities for interaction online with peers and instructors.
- New! Four new student success tools designed to help students approach the material with confidence include a chapter-opening guide, How to study this chapter; section-opening objectives and real-life applications, What you should learn and Why you should learn it; and chapter summaries, What did you learn?
- New! Each exercise set now concludes with Synthesis Exercises, promoting further exploration, critical thinking, and writing; and ReviewExercises.
- Abundant current, real-life applications are integrated throughout the examples and exercises and indicated by a globe icon.
- The wide variety of computational, conceptual, and applied problems are graded in difficulty.
- Special Algebra of Calculus exercises help prepare students for the future study of calculus.
- Exploration sections introduce select topics to engage students in active discovery of mathematical concepts and relationships, often using the power of technology.
- Carefully chosen examples contain step-by-step solutions and side-by-side explanations that lead students through mathematical concepts.
- Additional learning tools are placed throughout the text to create a rich learning environment: Study Tips, Historical Notes, Writing about Mathematics, Chapter projects, Chapter Review Exercises, Chapter Tests, Cumulative Tests, and an extensive art program.
- Optional use of graphing technology is integrated throughout the text.

Author Bio

**Larson, Ron : Pennsylvania State University Erie-Behrend College **

** Hostetler, Robert P. : Pennsylvania State University Erie-Behrend College**

Table of Contents

Note: Each chapter contains a Chapter Summary, Review Exercises, and a Chapter Test.

P. Prerequisites

P.1 Real Numbers

P.2 Solving Equations

P.3 The Cartesian Plane and Graphs of Equations

P.4 Linear Equations in Two Variables

P.5 Functions

P.6 Analyzing Graphs of Functions

P.7 Shifting, Reflecting, and Stretching Graphs

P.8 Combinations of Functions

P.9 Inverse Functions

Chapter Project: A Graphical Approach to Maximization

1. Trigonometry

1.1 Radian and Degree Measure

1.2 Trigonometric Functions: The Unit Circle

1.3 Right Triangle Trigonometry

1.4 Trigonometric Functions of Any Angle

1.5 Graphs of Sine and Cosine Functions

1.6 Graphs of Other Trigonometric Functions

1.7 Inverse Trigonometric Functions

1.8 Applications and Models

Chapter Project: Analyzing a Graph

2. Analytic Trigonometry

2.1 Using Fundamental Identities

2.2 Verifying Trigonometric Identities

2.3 Solving Trigonometric Equations

2.4 Sum and Difference Formulas

2.5 Multiple-Angle and Product-to-Sum Formulas

Chapter Project: Projectile Motion

3. Additional Topics in Trigonometry

3.1 Law of Sines

3.2 Law of Cosines

3.3 Vectors in the Plane

3.4 Vectors and Dot Products

Chapter Project: Adding Vectors Graphically

Cumulative Test for Chapters 1-3

4. Complex Numbers

4.1 Complex Numbers

4.2 Complex Solutions of Equations

4.3 Trigonometric Form of a Complex Number

4.4 DeMoivre's Theorem

Chapter Project: Using a Graphing Utility to Create Fractals

5. Exponential and Logarithmic Functions

5.1 Exponential Functions and Their Graphs

5.2 Logarithmic Functions and Their Graphs

5.3 Properties of Logarithms

5.4 Exponential and Logarithmic Equations

5.5 Exponential and Logarithmic Models

Chapter Project: Graphical Approach to Compound Interest

6. Topics in Analytic Geometry

6.1 Lines

6.2 Introduction to Conics: Parabolas

6.3 Ellipses

6.4 Hyperbolas

6.5 Rotation of Conics

6.6 Parametric Equations

6.7 Polar Coordinates

6.8 Graphs of Polar Equations

6.9 Polar Equations of Conics

Chapter Project: Polar, Rectangular, and Parametric Forms

Cumulative Test for Chapters 4-6

Appendices:

A. Proofs of Selected Theorems.

B. Concepts in Statistics.

B.1 Representing Data.

B.2 Measures of Central Tendency and Dispersion.

B.3 Least Squares Regression

Publisher Info

Publisher: Houghton Mifflin Harcourt

Published: 2001

International: No

Published: 2001

International: No

- New! Interactive Trigonometry 2.0 CD-ROM provides detailed solutions to every odd exercise in the text, self-assessment testing, a built-in Meridian Graphing Calculator Emulator, animations, video clips, simulations and editable graphs, and the entire contents of the text. For those who prefer a web-based program, Internet Trigonometry 1.0 is an interactive text-specific subscription web site offering all of the above features plus opportunities for interaction online with peers and instructors.
- New! Four new student success tools designed to help students approach the material with confidence include a chapter-opening guide, How to study this chapter; section-opening objectives and real-life applications, What you should learn and Why you should learn it; and chapter summaries, What did you learn?
- New! Each exercise set now concludes with Synthesis Exercises, promoting further exploration, critical thinking, and writing; and ReviewExercises.
- Abundant current, real-life applications are integrated throughout the examples and exercises and indicated by a globe icon.
- The wide variety of computational, conceptual, and applied problems are graded in difficulty.
- Special Algebra of Calculus exercises help prepare students for the future study of calculus.
- Exploration sections introduce select topics to engage students in active discovery of mathematical concepts and relationships, often using the power of technology.
- Carefully chosen examples contain step-by-step solutions and side-by-side explanations that lead students through mathematical concepts.
- Additional learning tools are placed throughout the text to create a rich learning environment: Study Tips, Historical Notes, Writing about Mathematics, Chapter projects, Chapter Review Exercises, Chapter Tests, Cumulative Tests, and an extensive art program.
- Optional use of graphing technology is integrated throughout the text.

**Larson, Ron : Pennsylvania State University Erie-Behrend College **

** Hostetler, Robert P. : Pennsylvania State University Erie-Behrend College**

Note: Each chapter contains a Chapter Summary, Review Exercises, and a Chapter Test.

P. Prerequisites

P.1 Real Numbers

P.2 Solving Equations

P.3 The Cartesian Plane and Graphs of Equations

P.4 Linear Equations in Two Variables

P.5 Functions

P.6 Analyzing Graphs of Functions

P.7 Shifting, Reflecting, and Stretching Graphs

P.8 Combinations of Functions

P.9 Inverse Functions

Chapter Project: A Graphical Approach to Maximization

1. Trigonometry

1.1 Radian and Degree Measure

1.2 Trigonometric Functions: The Unit Circle

1.3 Right Triangle Trigonometry

1.4 Trigonometric Functions of Any Angle

1.5 Graphs of Sine and Cosine Functions

1.6 Graphs of Other Trigonometric Functions

1.7 Inverse Trigonometric Functions

1.8 Applications and Models

Chapter Project: Analyzing a Graph

2. Analytic Trigonometry

2.1 Using Fundamental Identities

2.2 Verifying Trigonometric Identities

2.3 Solving Trigonometric Equations

2.4 Sum and Difference Formulas

2.5 Multiple-Angle and Product-to-Sum Formulas

Chapter Project: Projectile Motion

3. Additional Topics in Trigonometry

3.1 Law of Sines

3.2 Law of Cosines

3.3 Vectors in the Plane

3.4 Vectors and Dot Products

Chapter Project: Adding Vectors Graphically

Cumulative Test for Chapters 1-3

4. Complex Numbers

4.1 Complex Numbers

4.2 Complex Solutions of Equations

4.3 Trigonometric Form of a Complex Number

4.4 DeMoivre's Theorem

Chapter Project: Using a Graphing Utility to Create Fractals

5. Exponential and Logarithmic Functions

5.1 Exponential Functions and Their Graphs

5.2 Logarithmic Functions and Their Graphs

5.3 Properties of Logarithms

5.4 Exponential and Logarithmic Equations

5.5 Exponential and Logarithmic Models

Chapter Project: Graphical Approach to Compound Interest

6. Topics in Analytic Geometry

6.1 Lines

6.2 Introduction to Conics: Parabolas

6.3 Ellipses

6.4 Hyperbolas

6.5 Rotation of Conics

6.6 Parametric Equations

6.7 Polar Coordinates

6.8 Graphs of Polar Equations

6.9 Polar Equations of Conics

Chapter Project: Polar, Rectangular, and Parametric Forms

Cumulative Test for Chapters 4-6

Appendices:

A. Proofs of Selected Theorems.

B. Concepts in Statistics.

B.1 Representing Data.

B.2 Measures of Central Tendency and Dispersion.

B.3 Least Squares Regression