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001 | 00012130 | ||
003 | WSP | ||
007 | cr |nu|||unuuu | ||
008 | 201123s2021 si ob 001 0 eng | ||
010 | _a 2020051832 | ||
040 |
_aWSPC _beng _cWSPC |
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020 |
_a9789811231216 _q(ebook) |
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_a9811231214 _q(ebook) |
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020 |
_z9789811231209 _q(hbk.) |
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020 |
_z9811231206 _q(hbk.) |
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_z9789811232848 _q(pbk.) |
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_z9811232849 _q(pbk.) |
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035 | _a(OCoLC)1224584053 | ||
042 | _apcc | ||
050 | 0 | 0 |
_aQA537 _b.R69 2021 |
072 | 7 |
_aMAT _x032000 _2bisacsh |
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072 | 7 |
_aMAT _x012000 _2bisacsh |
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072 | 7 |
_aMAT _x030000 _2bisacsh |
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082 | 0 | 0 |
_a516.24 _223 |
049 | _aMAIN | ||
100 | 1 |
_aRozenblyum, Alexander. _921168 |
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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] |
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300 | _a1 online resource (380 p.). | ||
490 | 0 |
_aProblem solving in mathematics and beyond, _x2591-7234 ; _vvolume 23 |
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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. |
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538 | _aMode of access: World Wide Web. | ||
538 | _aSystem requirements: Adobe Acrobat reader. | ||
650 | 0 |
_aTrigonometry _vProblems, exercises, etc. _921169 |
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650 | 7 |
_aTrigonometry. _2fast _0(OCoLC)fst01156713 _921170 |
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655 | 7 |
_aProblems and exercises. _2fast _0(OCoLC)fst01423783 _97271 |
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655 | 0 |
_aElectronic books. _93294 |
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700 | 1 |
_aRozenblyum, Leonid. _921171 |
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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 |