Andreescu T., Feng Z. 103 trigonometry problems.. from the training of the USA IMO team (Birkhäuser, 2005).pdf

About the Authors

Titu Andreescu received his BA, MS, and PhD from the West University

of Timisoara, Romania. The topic of his doctoral dissertation was "Research

on Diophantine Analysis and Applications". Titu served as director of the

MAA American Mathematics Competitions (1998-2003), coach of the USA

International Mathematical Olympiad Team (IMO) for 10 years (1993-

2002), director of the Mathematical Olympiad Summer Program (1995-

2002) and leader of the USA IMO Team (1995-2002). In 2002 Titu was

elected member of the IMO Advisory Board, the governing body of the

international competition. Titu received the Edyth May Sliffe Award for

Distinguished High School Mathematics Teaching from the MAA in 1994

and a "Certificate of Appreciation" from the president of the MAA in 1995

for his outstanding service as coach of the Mathematical Olympiad Summer

Program in preparing the US team for its perfect performance in Hong Kong

at the 1994 International Mathematical Olympiad.

Zuming Feng graduated with a PhD from Johns Hopkins University with

emphasis on Algebraic Number Theory and Elliptic Curves. He teaches at

Phillips Exeter Academy. He also served as a coach of the USA IMO team

(1997-2003), the deputy leader of the USA IMO Team (2000-2002), and an

assistant director of the USA Mathematical Olympiad Summer Program

(1999-2002). He is a member of the USA Mathematical Olympiad Commit-

tee since 1999, and has been the leader of the USA IMO team and the

academic director of the USA Mathematical Olympiad Summer Program

since 2003. He received the Edyth May Sliffe Award for Distinguished High

School Mathematics Teaching from the MAA in 1996 and 2002.

Titu Andreescu

Zuming Feng

103 Trigonometry Problems

From the Training of the USA IMO Team

Birkhäuser

Boston • Basel • Berlin

Titu Andreescu

University of Wisconsin

Department of Mathematical

and Computer Sciences

Whitewater, WI 53190

U.S.A.

Zuming Feng

Phillips Exeter Academy

Department of Mathematics

Exeter, NH 03833

U.S.A.

AMS Subject Classifications: Primary: 97U40, 00A05, 00A07, 51-XX; Secondary: 11L03, 26D05,

33B10, 42A05

Library of Congress Cataloging-in-Publication Data

Andreescu, Titu, 1956-

103 trigonometry problems : from the training of the USA IMO team / Titu Andreescu,

Zuming Feng.

p. cm.

Includes bibliographical references.

ISBN 0-8176-4334-6 (acid-free paper)

1. Trigonometry–Problems, exercises, etc. I. Title: One hundred and three trigonometry

problems. II. Feng, Zuming. III. Title.

QA537.A63 2004

516.24–dc22

2004045073

ISBN 0-8176-4334-6 Printed on acid-free paper.

Birkhäuser

permission of the publisher (Birkhäuser Boston, c/o Springer Science+Business Media Inc., Rights

and Permissions, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in

connection with reviews or scholarly analysis. Use in connection with any form of information

storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar method-

ology now known or hereafter developed is forbidden.

The use in this publication of trade names, trademarks, service marks and similar terms, even if they

are not identified as such, is not to be taken as an expression of opinion as to whether or not they are

subject to proprietary rights.

Printed in the United States of America.

9 8 7 6 5 4 3 2 1 SPIN 10982723

www.birkhauser.com

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