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001 00012130
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007 cr |nu|||unuuu
008 201123s2021 si ob 001 0 eng
010 _a 2020051832
040 _aWSPC
_beng
_cWSPC
020 _a9789811231216
_q(ebook)
020 _a9811231214
_q(ebook)
020 _z9789811231209
_q(hbk.)
020 _z9811231206
_q(hbk.)
020 _z9789811232848
_q(pbk.)
020 _z9811232849
_q(pbk.)
035 _a(OCoLC)1224584053
042 _apcc
050 0 0 _aQA537
_b.R69 2021
072 7 _aMAT
_x032000
_2bisacsh
072 7 _aMAT
_x012000
_2bisacsh
072 7 _aMAT
_x030000
_2bisacsh
082 0 0 _a516.24
_223
049 _aMAIN
100 1 _aRozenblyum, Alexander.
_921168
245 1 0 _aLearning trigonometry by problem solving
_h[electronic resource] /
_cAlexander Rozenblyum, City University of New York, USA, Leonid Rozenblyum.
260 _aSingapore :
_bWorld Scientific,
_c[2021]
300 _a1 online resource (380 p.).
490 0 _aProblem solving in mathematics and beyond,
_x2591-7234 ;
_vvolume 23
504 _aIncludes bibliographical references and index.
505 0 _aPreface -- About the authors -- Introduction to trigonometric functions -- Solving right triangles -- Trigonometric properties in right triangles -- General definitions of trigonometric functions -- Basic properties of general trigonometric functions. Methods for reducing to acute angles -- Solving oblique triangles: law of sines -- Solving oblique triangles: law of cosines -- Addition and double angle formulas -- Product, sum, and difference of trigonometric functions -- Radian measure -- Graphs of sine and cosine -- Sinusoidal functions -- Applications of sinusoids -- Graphs of tangent and cotangent -- Basic sine equation and inverse sine function -- Inverse cosine and tangent. Basic trigonometric equations for cosine and tangent -- Trigonometric identities, inequalities, and equations -- Applications to geometry -- Historical background of complex numbers. Cardano's formula -- Definition and properties of complex numbers -- Appendix: two remarkable triangles -- Summary of results -- Answers and solutions to problems and exercises Index.
520 _a"In this book, trigonometry is presented mainly through the solution of specific problems. The problems are meant to help the reader consolidate their knowledge of the subject. In addition, they serve to motivate and provide context for the concepts, definitions, and results as they are presented. In this way, it enables a more active mastery of the subject, directly linking the results of the theory with their applications. Some historical notes are also embedded in selected chapters. The problems in the book are selected from a variety of disciplines, such as physics, medicine, architecture, and so on. They include solving triangles, trigonometric equations, and their applications. Taken together, the problems cover the entirety of material contained in a standard trigonometry course which is studied in high school and college. We have also added some interesting, in our opinion, entertainment problems. To solve them, no special knowledge is required. While they are not directly related to the subject of the book, they reflect its spirit and contribute to a more lighthearted reading of the material"--
_cProvided by publisher.
538 _aMode of access: World Wide Web.
538 _aSystem requirements: Adobe Acrobat reader.
650 0 _aTrigonometry
_vProblems, exercises, etc.
_921169
650 7 _aTrigonometry.
_2fast
_0(OCoLC)fst01156713
_921170
655 7 _aProblems and exercises.
_2fast
_0(OCoLC)fst01423783
_97271
655 0 _aElectronic books.
_93294
700 1 _aRozenblyum, Leonid.
_921171
856 4 0 _uhttps://www.worldscientific.com/worldscibooks/10.1142/12130#t=toc
_zAccess to full text is restricted to subscribers.
942 _cEBK
999 _c72756
_d72756