Trigonometry

by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie

• ISBN13: 9780321671776
• ISBN10: 0321671775
• Additional ISBN(s): 9780135924136, 9780321085993
• Edition: 10th
• Format: Hardcover
• Copyright: 2012-01-25
• Publisher: Pearson
• More Book Details

About This Book

Trigonometry, 10th Edition

Trigonometry, 10th Edition, is a comprehensive textbook designed to engage and support students in their learning process. Written by Margaret L. Lial, John Hornsby, David I. Schneider, and Callie Daniels, this book is a go-to resource for students and educators alike in introductory trigonometry courses at the college and university levels.

Who Uses It?

Primarily, this book is used by students and instructors in introductory trigonometry courses. It's also a valuable resource for anyone interested in understanding the basics of trigonometry, including professionals looking to refresh their knowledge or expand their understanding of mathematical principles.

History and Editions

The 10th edition of Trigonometry has been updated to address user feedback, incorporating the latest research and discussions on trigonometric concepts. This edition includes detailed updates on problem-solving strategies and applications, ensuring that students build a strong foundation in the material before applying what they've learned. The book has been a trusted resource for over a decade, providing students with a clear and concise approach to understanding trigonometry.

Author and Other Works

Margaret L. Lial is known for her engaging, conversational writing style and her ability to explain complex mathematical concepts clearly and simply. John Hornsby brings his expertise in mathematics to the text, ensuring that it remains current and relevant. David I. Schneider and Callie Daniels contribute to the book's comprehensive coverage of trigonometric principles.

Key Features

• Comprehensive Coverage: The book covers core concepts in trigonometry, including detailed explanations and examples.
• Problem-Solving Strategies: The text includes updated problem-solving strategies and applications, making it easier for students to apply what they've learned.
• Interactive Tools: While not explicitly mentioned, the book is often complemented by online resources that provide interactive features to enhance student learning.

Detailed Information

ISBNs and Formats

• Hardcover: ISBN-13: 9780321671776
• eTextbook: ISBN-13: 9780321671783
• Loose-leaf: ISBN-13: 9780321671790
• Rental Options: Various rental durations available from different retailers

Publication Details

• Publisher: Pearson
• Publication Date: February 4, 2012
• Number of Pages: 528
• Language: English
• Item Weight: 3.5 pounds
• Dimensions: 9 x 1.9 x 10.6 inches

Other Editions and Formats

10th Edition: Available through Pearson and other retailers

Related ISBNs:

• 9780321671783 (eTextbook)
• 9780321671790 (Loose-leaf)
• 9780321671806 (Rental Options)

This detailed information section provides a quick reference for all the available formats and sources for Trigonometry, 10th Edition, making it easier to find and access the book in the preferred format.

Author Biography

Marge Lial has always been interested in math; it was her favorite subject in the first grade! Marge's intense desire to educate both her students and herself has inspired the writing of numerous best-selling textbooks. Marge, who received Bachelor's and Master's degrees from California State University at Sacramento, is now affiliated with American River College. Marge is an avid reader and traveler. Her travel experiences often find their way into her books as applications, exercise sets, and feature sets. She is particularly interested in archeology. Trips to various digs and ruin sites have produced some fascinating problems for her textbooks involving such topics as the building of Mayan pyramids and the acoustics of ancient ball courts in the Yucatan.

 

When John Hornsby enrolled as an undergraduate at Louisiana State University, he was uncertain whether he wanted to study mathematics education or journalism. His ultimate decision was to become a teacher, but after twenty-five years of teaching at the high school and university levels and fifteen years of writing mathematics textbooks, both of his goals have been realized. His love for both teaching and for mathematics is evident in his passion for working with students and fellow teachers as well. His specific professional interests are recreational mathematics, mathematics history, and incorporating graphing calculators into the curriculum. John's personal life is busy as he devotes time to his family (wife Gwen, and sons Chris, Jack, and Josh). He has been a rabid baseball fan all of his life. John's other hobbies include numismatics (the study of coins) and record collecting. He loves the music of the 1960s and has an extensive collection of the recorded works of Frankie Valli and the Four Seasons.

 

David Schneider has taught mathematics at universities for over 34 years and has authored 36 books. He has an undergraduate degree in mathematics from Oberlin College and a PhD in mathematics from MIT. During most of his professional career, he was on the faculty of the University of Maryland--College Park. His hobbies include travel, dancing, bicycling, and hiking.

 

Callie Daniels has always had a passion for learning mathematics and brings that passion into the classroom with her students. She attended the University of the Ozarks on an athletic scholarship, playing both basketball and tennis. While there, she earned a bachelor’s degree in Secondary Mathematics Education as well as the NAIA Academic All-American Award. She has two master’s degrees: one in Applied Mathematics and Statistics from the University of Missouri-Rolla, the second in Adult Education from the University of Missouri- St. Louis. Her hobbies include watching her sons play sports, riding horses, fishing, shooting photographs, and playing guitar. Her professional interests include improving success in the community college mathematics sequence, using technology to enhance students’ understanding of mathematics, and creating materials that support classroom teaching and student understanding.

Table of Contents

Preface

Supplements Guide

 

1. Trigonometric Functions

1.1 Angles

1.2 Angle Relationships and Similar Triangles

1.3 Trigonometric Functions

1.4 Using the Definitions of the Trigonometric Functions

 

2. Acute Angles and Right Triangles

2.1 Trigonometric Functions of Acute Angles

2.2 Trigonometric Functions of Non-Acute Angles

2.3 Finding Trigonometric Function Values Using a Calculator

2.4 Solving Right Triangles

2.5 Further Applications of Right Triangles

 

3. Radian Measure and the Unit Circle

3.1 Radian Measure

3.2 Applications of Radian Measure

3.3 The Unit Circle and Circular Functions

3.4 Linear and Angular Speed

 

4. Graphs of the Circular Functions

4.1 Graphs of the Sine and Cosine Functions

4.2 Translations of the Graphs of the Sine and Cosine Functions

4.3 Graphs of the Tangent and Cotangent Functions

4.4 Graphs of the Secant and Cosecant Functions

4.5 Harmonic Motion

 

5. Trigonometric Identities

5.1 Fundamental Identities

5.2 Verifying Trigonometric Identities

5.3 Sum and Difference Identities for Cosine

5.4 Sum and Difference Identities for Sine and Tangent

5.5 Double-Angle Identities

5.6 Half-Angle Identities

 

6. Inverse Circular Functions and Trigonometric Equations

6.1 Inverse Circular Functions

6.2 Trigonometric Equations I

6.3 Trigonometric Equations II

6.4 Equations Involving Inverse Trigonometric Functions

 

7. Applications of Trigonometry and Vectors

7.1 Oblique Triangles and the Law of Sines

7.2 The Ambiguous Case of the Law of Sines

7.3 The Law of Cosines

7.4 Vectors, Operation, and the Dot Product

7.5 Applications of Vectors

 

8. Complex Numbers, Polar Equations, and Parametric Equations

8.1 Complex Numbers

8.2 Trigonometric (Polar) Form of Complex Numbers

8.3 The Product and Quotient Theorems

8.4 De Moivre's Theorem; Powers and Roots of Complex Numbers

8.5 Polar Equations and Graphs

8.6 Parametic Equations, Graphs, and Applications

 

Appendix A. Equations and Inequalities

Appendix B. Graphs of Equations

Appendix C. Functions

Appendix D. Graphing Techniques

 

Glossary

Solutions to Selected Exercises

Answers to Selected Exercises

Index of Applications

Index

Photo Credits