College algebra with trigonometry

902 Pages·2011·47.14 MB·English

by  Raymond A Barnett

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College Algebra
with Trigonometry
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NINTH EDITION
College Algebra
with Trigonometry
Raymond A. Barnett
Merritt College
Michael R. Ziegler
Marquette University
Karl E. Byleen
Marquette University
Dave Sobecki
Miami University Hamilton
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COLLEGE ALGEBRA WITH TRIGONOMETRY, NINTH EDITION
Published by McGraw-Hill, a business unit of The McGraw-Hill Companies, Inc., 1221 Avenue of the Americas,
New York, NY 10020. Copyright © 2011 by The McGraw-Hill Companies, Inc. All rights reserved. Previous
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This book is printed on acid-free paper.
1 2 3 4 5 6 7 8 9 0 DOW/DOW 1 0 9 8 7 6 5 4 3 2 1 0
ISBN 978–0–07–351950–0
MHID 0–07–351950–2
ISBN 978–0–07–729720–6 (Annotated Instructor’s Edition)
MHID 0–07–729720–2
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Library of Congress Cataloging-in-Publication Data
Barnett, Raymond A.
College algebra with trigonometry/Raymond A. Barnett ... [et al.]. — 9th ed.
p. cm. — (Barnett, Ziegler & Byleen’s precalculus series)
Includes index.
ISBN 978-0-07-351950-0 — ISBN 0-07-351950-2 (hard copy : alk. paper) 1. Algebra–Textbooks.
2. Trigonometry–Textbooks. I. Title
QA154.3.B368 2011
512.13–dc22
2009019473
www.mhhe.com
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The Barnett, Ziegler and Sobecki Precalculus Series
College Algebra, Ninth Edition
This book is the same as Precalculus without the three chapters on trigonometry.
ISBN 0-07-351949-9, ISBN 978-0-07-351-949-4
Precalculus, Seventh Edition
This book is the same as College Algebra with three chapters of trigonometry added.
The trigonometric functions are introduced by a unit circle approach.
ISBN 0-07-351951-0, ISBN 978-0-07-351-951-7
College Algebra with Trigonometry, Ninth Edition
This book differs from Precalculus in that College Algebra with Trigonometry uses right
triangle trigonometry to introduce the trigonometric functions.
ISBN 0-07-735010-3, ISBN 978-0-07-735010-9
College Algebra: Graphs and Models, Third Edition
This book is the same as Precalculus: Graphs and Models without the three chapters on
trigonometry. This text assumes the use of a graphing calculator.
ISBN 0-07-305195-0, ISBN 978-0-07-305195-6
Precalculus: Graphs and Models, Third Edition
This book is the same as College Algebra: Graphs and Models with three additional chap-
ters on trigonometry. The trigonometric functions are introduced by a unit circle approach.
This text assumes the use of a graphing calculator.
ISBN 0-07-305196-9, ISBN 978-0-07-305-196-3
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About the Authors
Raymond A. Barnett, a native of and educated in California, received his B.A. in math-
ematical statistics from the University of California at Berkeley and his M.A. in mathe-
matics 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. Asso-
ciated with four different publishers, Raymond Barnett has authored or co-authored 18 text-
books in mathematics, most of which are still in use. In addition to international English
editions, a number of the 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; Karl Byleen,
Marquette University; and Dave Sobecki, Miami University Hamilton.
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 Univer-
sity of Kentucky, he was appointed to the faculty of Marquette University where he held
the rank of Professor in the Department of Mathematics, Statistics, and Computer Science.
Dr. Ziegler published more than a dozen research articles in complex analysis and co-authored
more than a dozen undergraduate mathematics textbooks with Raymond Barnett and Karl
Byleen before passing away unexpectedly in 2008.
Karl E. Byleen received his B.S., M.A., and Ph.D. degrees in mathematics from the Uni-
versity of Nebraska. He is currently an Associate Professor in the Department of Mathe-
matics, Statistics, and Computer Science of Marquette University. He has published a dozen
research articles on the algebraic theory of semigroups and co-authored more than a dozen
undergraduate mathematics textbooks with Raymond Barnett and Michael Ziegler.
Dave Sobecki earned a B.A. in math education from Bowling Green State University, then
went on to earn an M.A. and a Ph.D. in mathematics from Bowling Green. He is an asso-
ciate professor in the Department of Mathematics at Miami University in Hamilton, Ohio.
He has written or co-authored five journal articles, eleven books and five interactive
CD-ROMs. Dave lives in Fairfield, Ohio with his wife (Cat) and dogs (Macleod and Tessa).
His passions include Ohio State football, Cleveland Indians baseball, heavy metal music, travel,
and home improvement projects.
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Dedicated to the memory of Michael R. Ziegler,
trusted author, colleague, and friend.