Analytic Trigonometry with Applications, 9th Edition

by Raymond A. Barnett (Merritt College); Michael R. Ziegler (Marquette University); Karl E. Byleen (Marquette University)

• ISBN13: 9780471746553
• ISBN10: 047174655X
• Edition: 9th
• Format: Hardcover
• Copyright: 2005-12-01
• Publisher: WILEY

Summary

Featuring updated content, vivid applications, and integrated coverage of graphing utilities, the ninth edition of this hands-on trigonometry text guides readers step by step, from the right triangle to the unit-circle definitions of the trigonometric functions. Examples with matched problems illustrate almost every concept and encourage readers to be actively involved in the learning process. Key pedagogical elements, such as annotated examples, think boxes, caution warnings, and reviews, help readers comprehend and retain the material.

Author Biography

Raymond A. Barnett, a native of and educated in California, received his B.A. in mathematical statistics from the University of California at Berkeley and his M.A. in mathematics from the University of Southern California. He has been a member of the Merritt College Mathematics Department, and was chairman of the department for four years. Associated with four different publishers, Raymond Barnett has authored or co-authored eighteen textbooks in mathematics, most of which are still in use. In addition to international English editions, a number of books have been translated into Spanish. Co-authors include Michael Ziegler, Marquette University; Thomas Kearns, Northern Kentucky University; Charles Burke, City College of San Francisco; John Fujii, Merritt College, and Karl Byleen, Marquette University.

Michael R. Ziegler received his B.S. from Shippensburg State College and his M.S. and Ph.D. from the University of Delaware. After completing postdoctoral work at the University of Kentucky, he was appointed to the faculty of Marquette University where he currently holds the rank of Professor in the Department of Mathematics, Statistics, and Computer Science. Dr. Ziegler has published over a dozen research articles in complex analysis and has co-authored over a dozen undergraduate mathematics textbooks with Raymond Barnett and Karl Byleen.

Karl E. Byleen received the B.S., M.A. and Ph.D. degrees in mathematics from the University of Nebraska. He is currently an Associate Professor in the Department of Mathematics, Statistics and Computer Science of Marquette University. He has published a dozen research articles on the algebraic theory of semigroups.

Table of Contents

1. Right Triangle Ratios.

2. Trigonometric Functions.

3. Graphing Trigonometric Functions.

4. Identities.

5. Inverse Trigonometric Functions; Trigonometric Equations and Inequalities.

6. Additional Topics: Triangles and Vectors.

7. Polar Coordinates; Complex Numbers.

Appendix A: Comments on Numbers.

Appendix B: Functions and Inverse Functions.

Appendix C: Plane Geometry: Some Useful Facts.

Selected Answers.

Index.