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1、AbouttheAuthorsTituAndreescureceivedhisBA,MS,andPhDfromtheWestUniversityofTimisoara,Romania.Thetopicofhisdoctoraldissertationwas"ResearchonDiophantineAnalysisandApplications".TituservedasdirectoroftheMAAAmericanMathematicsCompetitions(1998-2003),coachoftheUSAInternationalMathematicalOlympiad
2、Team(IMO)for10years(1993-2002),directoroftheMathematicalOlympiadSummerProgram(1995-2002)andleaderoftheUSAIMOTeam(1995-2002).In2002TituwaselectedmemberoftheIMOAdvisoryBoard,thegoverningbodyoftheinternationalcompetition.TitureceivedtheEdythMaySliffeAwardforDistinguishedHighSchoolMathematicsTea
3、chingfromtheMAAin1994anda"CertificateofAppreciation"fromthepresidentoftheMAAin1995forhisoutstandingserviceascoachoftheMathematicalOlympiadSummerPrograminpreparingtheUSteamforitsperfectperformanceinHongKongatthe1994InternationalMathematicalOlympiad.ZumingFenggraduatedwithaPhDfromJohnsHopkinsU
4、niversitywithemphasisonAlgebraicNumberTheoryandEllipticCurves.HeteachesatPhillipsExeterAcademy.HealsoservedasacoachoftheUSAIMOteam(1997-2003),thedeputyleaderoftheUSAIMOTeam(2000-2002),andanassistantdirectoroftheUSAMathematicalOlympiadSummerProgram(1999-2002).HeisamemberoftheUSAMathematicalOl
5、ympiadCommit-teesince1999,andhasbeentheleaderoftheUSAIMOteamandtheacademicdirectoroftheUSAMathematicalOlympiadSummerProgramsince2003.HereceivedtheEdythMaySliffeAwardforDistinguishedHighSchoolMathematicsTeachingfromtheMAAin1996and2002.TituAndreescuZumingFeng103TrigonometryProblemsFromtheTrain
6、ingoftheUSAIMOTeamBirkhäuserBoston•Basel•BerlinTituAndreescuZumingFengUniversityofWisconsinPhillipsExeterAcademyDepartmentofMathematicalDepartmentofMathematicsandComputerSciencesExeter,NH03833Whitewater,WI53190U.S.A.U.S.A.AMSSubjectClassifications:Primary:97U40,00A05,00A07,51-XX;Secondary:11
7、L03,26D05,33B10,42A05LibraryofCongressCataloging-in-PublicationDataAndreescu,Titu,1956-103trigonometryproblems:fromthetrainingoftheUSAIMOteam/TituAndreescu,ZumingFeng.p.cm.Includesbibliographicalreferences.ISBN0-8176-4334-6(acid-freepaper)1.Trigono
