Trigonometry

Author by : I.M. Gelfand
Languange : en
Publisher by : Springer Science & Business Media
Format Available : PDF, ePub, Mobi
Total Read : 35
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Description : In a sense, trigonometry sits at the center of high school mathematics. It originates in the study of geometry when we investigate the ratios of sides in similar right triangles, or when we look at the relationship between a chord of a circle and its arc. It leads to a much deeper study of periodic functions, and of the so-called transcendental functions, which cannot be described using finite algebraic processes. It also has many applications to physics, astronomy, and other branches of science. It is a very old subject. Many of the geometric results that we now state in trigonometric terms were given a purely geometric exposition by Euclid. Ptolemy, an early astronomer, began to go beyond Euclid, using the geometry of the time to construct what we now call tables of values of trigonometric functions. Trigonometry is an important introduction to calculus, where one stud ies what mathematicians call analytic properties of functions. One of the goals of this book is to prepare you for a course in calculus by directing your attention away from particular values of a function to a study of the function as an object in itself. This way of thinking is useful not just in calculus, but in many mathematical situations. So trigonometry is a part of pre-calculus, and is related to other pre-calculus topics, such as exponential and logarithmic functions, and complex numbers.


Trigonometry For Dummies

Author by : Mary Jane Sterling
Languange : en
Publisher by : John Wiley & Sons
Format Available : PDF, ePub, Mobi
Total Read : 79
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File Size : 43,5 Mb
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Description : A plain-English guide to the basics of trig Trigonometry deals with the relationship between the sides and angles of triangles... mostly right triangles. In practical use, trigonometry is a friend to astronomers who use triangulation to measure the distance between stars. Trig also has applications in fields as broad as financial analysis, music theory, biology, medical imaging, cryptology, game development, and seismology. From sines and cosines to logarithms, conic sections, and polynomials, this friendly guide takes the torture out of trigonometry, explaining basic concepts in plain English and offering lots of easy-to-grasp example problems. It also explains the "why" of trigonometry, using real-world examples that illustrate the value of trigonometry in a variety of careers. Tracks to a typical Trigonometry course at the high school or college level Packed with example trig problems From the author of Trigonometry Workbook For Dummies Trigonometry For Dummies is for any student who needs an introduction to, or better understanding of, high-school to college-level trigonometry.


Schaum S Outline Of Trigonometry 5th Edition

Author by : Robert Moyer
Languange : en
Publisher by : McGraw Hill Professional
Format Available : PDF, ePub, Mobi
Total Read : 48
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Description : The ideal review for your trigonometry course More than 40 million students have trusted Schaum’s Outlines for their expert knowledge and helpful solved problems. Written by a renowned expert in this field, Schaum's Outline of Trigonometry covers what you need to know for your course and, more important, your exams. Step-by-step, the author walks you through coming up with solutions to exercises in this topic. 611 problems solved step-by-step Clear, concise explanations of all trigonometry concepts Appropriate for the following courses: trigonometry, college algebra and trigonometry, introductory algebra and trigonometry, precalculus Easily understood review of basic trigonometry principles Hundreds of practice problems with step-by-step solutions Supports all the major textbooks for the introductory trigonometry course


Methods Of Trigonometry

Author by : Anonim
Languange : en
Publisher by : Macmillan International Higher Education
Format Available : PDF, ePub, Mobi
Total Read : 85
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Graphs Of Trigonometric Functions

Author by : Marilyn Occhiogrosso
Languange : en
Publisher by : Milliken Publishing Company
Format Available : PDF, ePub, Mobi
Total Read : 30
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Description : This easy-to-use packet is full of stimulating activities that will give your students a solid introduction to graphing trigonometric functions! A variety of puzzles and self-check formats will challenge students to think creatively as they work to build their trigonometric skills. Each page begins with a clear explanation of a featured trigonometric topic, providing extra review and reinforcement.


Trigonometry A Very Short Introduction

Author by : Glen Van Brummelen
Languange : en
Publisher by : Oxford University Press, USA
Format Available : PDF, ePub, Mobi
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Description : Born of the desire to understand the workings of motions of the heavenly bodies, trigonometry gave the ancient Greeks the ability to predict their futures. Most of what we see of the subject in school comes from these heavenly origins; 15th century astronomer Regiomontanus called it "the foot of the ladder to the stars." In this Very Short Introduction Glen Van Brummelen shows how trigonometry connects mathematics to science, and has today become an indispensable tool in predicting cyclic patterns like animal populations and ocean tides. Its historical journey through major cultures such as medieval India and the Islamic World has taken it through disciplines such as geography and even religious practice. Trigonometry has also been a major player in the most startling mathematical developments of the modern world. Its interactions with the concept of infinity led to Taylor and Fourier series, some of the most practical tools of modern science. The birth of complex numbers led to a shocking union of exponential and trigonometric functions, creating the most beautiful formulas and powerful modelling tools in science. Finally, as Van Brummelen shows, trigonometry allows us to explore the strange new worlds of non-Euclidean geometries, opening up bizarre possibilities for the shape of space itself. And indeed, one of those new geometries - spherical - takes us full circle back to ancient Greek astronomers and European navigators, who first used it to chart their ways across the heavens and the earth. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.


103 Trigonometry Problems

Author by : Titu Andreescu
Languange : en
Publisher by : Springer Science & Business Media
Format Available : PDF, ePub, Mobi
Total Read : 24
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Description : * Problem-solving tactics and practical test-taking techniques provide in-depth enrichment and preparation for various math competitions * Comprehensive introduction to trigonometric functions, their relations and functional properties, and their applications in the Euclidean plane and solid geometry * A cogent problem-solving resource for advanced high school students, undergraduates, and mathematics teachers engaged in competition training


The Elements Of Plane Trigonometry

Author by : Henry Nathan Wheeler
Languange : en
Publisher by : Unknown
Format Available : PDF, ePub, Mobi
Total Read : 10
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Trigonometry A Complete Introduction

Author by : Hugh Neill
Languange : en
Publisher by : Hachette UK
Format Available : PDF, ePub, Mobi
Total Read : 14
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Description : Trigonometry: A Complete Introduction is the most comprehensive yet easy-to-use introduction to Trigonometry. Written by a leading expert, this book will help you if you are studying for an important exam or essay, or if you simply want to improve your knowledge. The book covers all areas of trigonometry including the theory and equations of tangent, sine and cosine, using trigonometry in three dimensions and for angles of any magnitude, and applications of trigonometry including radians, ratio, compound angles and circles related to triangles. Everything you will need is here in this one book. Each chapter includes not only an explanation of the knowledge and skills you need, but also worked examples and test questions.


Trigonometry

Author by : Dennis G. Zill
Languange : en
Publisher by : Jones & Bartlett Publishers
Format Available : PDF, ePub, Mobi
Total Read : 28
Total Download : 199
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Description : Designed for the one-term course in trigonometry, the Third Edition incorporates all of the many teaching and learning tools that have made Zill's texts a resounding success. A rich pedagogy and an extensive supplements package make this text a must-have resource for students and instructors alike. Zill takes care to include a full set of engaging and motivating features for students, including a wide range of word problems and specific applications, historical accounts of mathematicians, and a strong variety of relevant exercises. These extensive exercises give students the opportunity to test their comprehension, challenge their understanding, and apply their knowledge to real-world situations.


Trigonometry

Author by : Cynthia Y. Young
Languange : en
Publisher by : John Wiley & Sons
Format Available : PDF, ePub, Mobi
Total Read : 76
Total Download : 184
File Size : 51,6 Mb
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Description : Trigonometry, 4th Edition brings together all the elements that have allowed instructors and learners to successfully "bridge the gap" between classroom instruction and independent homework by overcoming common learning barriers and building confidence in students' ability to do mathematics. Written in a clear voice that speaks to students and mirrors how instructors communicate in lecture, Young's hallmark pedagogy enables students to become independent, successful learners. Varied exercise types and modeling projects keep the learning fresh and motivating. Young continues her tradition of fostering a love for succeeding in mathematics by introducing inquiry-based learning projects in this edition, providing learners an opportunity to master the material with more freedom while reinforcing mathematical skills and intuition.


Trigonometry

Author by : Charles P. McKeague
Languange : en
Publisher by : Academic Press
Format Available : PDF, ePub, Mobi
Total Read : 70
Total Download : 141
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Description : Trigonometry focuses on the principles, operations, formulas, and functions involved in trigonometry. The publication first takes a look at the six trigonometric functions, right triangle trigonometry, and radian measure. Discussions focus on radiance and degrees, unit circle and even and odd functions, length of arc and area of a sector, trigonometric functions of an acute angle, solving right triangles, rectangular coordinate system, and angles, degrees, and special triangles. The manuscript then examines graphing and inverse functions, identities and formulas, and equations. Topics include solving trigonometric equations, parametric equations and further graphing, sum and difference formulas, half-angle formulas, additional identities, phase shift, amplitude and period, graphing combinations of functions, and inverse trigonometric functions. The text ponders on complex numbers and polar coordinates, triangles, and equations, including the law of sines and cosines, products and quotients in trigonometric form, roots of a complex number, and polar coordinates. The book is a dependable reference for students and readers interested in trigonometry.


The Fractional Trigonometry

Author by : Carl F. Lorenzo
Languange : en
Publisher by : John Wiley & Sons
Format Available : PDF, ePub, Mobi
Total Read : 58
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Description : Addresses the rapidly growing ­field of fractional calculus and provides simpli­fied solutions for linear commensurate-order fractional differential equations ­The Fractional Trigonometry: With Applications to Fractional Differential Equations and Science is the result of the authors’ work in fractional calculus, and more particularly, in functions for the solutions of fractional di­fferential equations, which is fostered in the behavior of generalized exponential functions. The authors discuss how fractional trigonometry plays a role analogous to the classical trigonometry for the fractional calculus by providing solutions to linear fractional di­fferential equations. The book begins with an introductory chapter that o­ffers insight into the fundamentals of fractional calculus, and topical coverage is then organized in two main parts. Part One develops the definitions and theories of fractional exponentials and fractional trigonometry. Part Two provides insight into various areas of potential application within the sciences. The fractional exponential function via the fundamental fractional differential equation, the generalized exponential function, and R-function relationships are discussed in addition to the fractional hyperboletry, the R1-fractional trigonometry, the R2-fractional trigonometry, and the R3-trigonometric functions. ­The Fractional Trigonometry: With Applications to Fractional Differential Equations and Science also: Presents fractional trigonometry as a tool for scientists and engineers and discusses how to apply fractional-order methods to the current toolbox of mathematical modelers Employs a mathematically clear presentation in an e­ ort to make the topic broadly accessible Includes solutions to linear fractional di­fferential equations and generously features graphical forms of functions to help readers visualize the presented concepts Provides e­ffective and efficient methods to describe complex structures ­The Fractional Trigonometry: With Applications to Fractional Differential Equations and Science is an ideal reference for academic researchers, research engineers, research scientists, mathematicians, physicists, biologists, and chemists who need to apply new fractional calculus methods to a variety of disciplines. The book is also appropriate as a textbook for graduate- and PhD-level courses in fractional calculus. Carl F. Lorenzo is Distinguished Research Associate at the NASA Glenn Research Center in Cleveland, Ohio. His past positions include chief engineer of the Instrumentation and Controls Division and chief of the Advanced Controls Technology and Systems Dynamics branches at NASA. He is internationally recognized for his work in the development and application of the fractional calculus and fractional trigonometry. Tom T. Hartley, PhD, is Emeritus Professor in the Department of Electrical and Computer Engineering at The University of Akron. Dr Hartley is a recognized expert in fractional-order systems, and together with Carl Lorenzo, has solved fundamental problems in the area including Riemann’s complementary-function initialization function problem. He received his PhD in Electrical Engineering from Vanderbilt University.


Trigonometry

Author by : David A. Kay
Languange : en
Publisher by : Unknown
Format Available : PDF, ePub, Mobi
Total Read : 78
Total Download : 735
File Size : 55,5 Mb
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Description : A comprehensive review guide to help you refresh your study. This guide is particularly useful for midterms and final exams, condensing a semester's worth of information into one concise volume.


I Hate Trig

Author by : Jesse Moland, Jr.
Languange : en
Publisher by : Jesse Moland
Format Available : PDF, ePub, Mobi
Total Read : 24
Total Download : 471
File Size : 54,6 Mb
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Description : This guide is a collection of concepts that are often missed or overlooked by students who are just beginning trigonometry. It is not a magical cure-all, but a supplemental tool.


Plane Trigonometry

Author by : Clarence Raymond Wylie
Languange : en
Publisher by : Rex Bookstore, Inc.
Format Available : PDF, ePub, Mobi
Total Read : 11
Total Download : 336
File Size : 44,6 Mb
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The Mathematics Of The Heavens And The Earth

Author by : Glen Van Brummelen
Languange : en
Publisher by : Princeton University Press
Format Available : PDF, ePub, Mobi
Total Read : 65
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Description : "There does not seem to have been a book-length history of trigonometry in English before this fine book. Van Brummelen takes us from the unnamed Egyptians and Babylonians who created trigonometry to the subject's first few centuries in Europe. In between, he deftly traces how it was studied by the astronomers Hipparchus and Ptolemy in classical Greece, and later by a host of scholars in India and the Islamic world."--John H. Conway, coauthor of The Book of Numbers "This book is the first detailed history of trigonometry in more than half a century, and it far surpasses any earlier attempts. The Mathematics of the Heavens and the Earth is an extremely important contribution to scholarship. It will be the definitive history of trigonometry for years to come. There is nothing like this out there."--Victor J. Katz, professor emeritus, University of the District of Columbia "A pleasure to read. The Mathematics of the Heavens and the Earth is destined to become the standard reference on the history of trigonometry for the foreseeable future. Although other authors have attempted to tell the story, I know of no other book that has either the breadth or the depth of this one. Van Brummelen is one of the leading experts in the world on this subject."--Dennis Duke, Florida State University "Van Brummelen presents a history of trigonometry from the earliest times to the end of the sixteenth century. He has produced a work that rises to the highest standards of scholarship but never strays into pedantry. His extensive bibliography cites every work of consequence for the history of trigonometry, copious footnotes and diagrams illuminate the text, and reproductions from old printed works add interest and texture to the narrative."--J. Lennart Berggren, professor emeritus, Simon Fraser University "This book presents, for the first time in more than a century, a concise history of plane and spherical trigonometry, an important field within applied mathematics. It will appeal to a wide audience thanks to the pleasant style in which it is written, but at the same time it adheres to a very high scholarly standard."--Benno van Dalen, Ludwig Maximilians University, Munich


Essential Trigonometry

Author by : Tim Hill
Languange : en
Publisher by : Questing Vole Press
Format Available : PDF, ePub, Mobi
Total Read : 81
Total Download : 255
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Description : This no-nonsense guide provides students and self-learners with a clear and readable study of trigonometry's most important ideas. Tim Hill's distraction-free approach combines decades of tutoring experience with the proven methods of his Russian math teachers. The result: learn in a few days what conventional schools stretch into months. - Teaches general principles that can be applied to a wide variety of problems. - Avoids the mindless and excessive routine computations that characterize conventional textbooks. - Treats trigonometry as a logically coherent discipline, not as a disjointed collection of techniques. - Restores proofs to their proper place to remove doubt, convey insight, and encourage precise logical thinking. - Omits digressions, excessive formalities, and repetitive exercises. - Covers all the trigonometry needed to take a calculus course. - Includes problems (with all solutions) that extend your knowledge rather than merely reinforce it. Contents 1. A Few Basics 2. Radian Measure 3. The Trig Functions 4. Trig Values for Special Angles 5. Graphs of Trig Functions 6. The Major Formulas 7. Inverse Trig Functions 8. The Law of Cosines (and Sines) 9. Solutions 10. Trig Cheat Sheet


Analytic Trigonometry With Applications

Author by : Raymond A. Barnett
Languange : en
Publisher by : John Wiley & Sons
Format Available : PDF, ePub, Mobi
Total Read : 79
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Description : Analytic trigonometry with applications / Raymond A. Barnett ... [et al.]. 10th. 2009.


Student Study And Solutions Manual For Larson S Algebra Trigonometry 9th

Author by : Ron Larson
Languange : en
Publisher by : Cengage Learning
Format Available : PDF, ePub, Mobi
Total Read : 56
Total Download : 376
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Description : This guide offers step-by-step solutions for all odd-numbered text exercises, Chapter and Cumulative Tests, and Practice Tests with solutions. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.


Algebra And Trigonometry Ii Essentials

Author by : Anonim
Languange : en
Publisher by : Research & Education Assoc.
Format Available : PDF, ePub, Mobi
Total Read : 39
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File Size : 40,8 Mb
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Description : REA's Essentials provide quick and easy access to critical information in a variety of different fields, ranging from the most basic to the most advanced. As its name implies, these concise, comprehensive study guides summarize the essentials of the field covered. Essentials are helpful when preparing for exams, doing homework and will remain a lasting reference source for students, teachers, and professionals. Algebra & Trigonometry II includes logarithms, sequences and series, permutations, combinations and probability, vectors, matrices, determinants and systems of equations, mathematical induction and the binomial theorems, partial fractions, complex numbers, trigonometry, trigonometric functions, solving triangles, inverse trigonometric functions and trigonometric equations, and an introduction to analytic geometry.


Trigonometry Speedy Study Guides

Author by : Speedy Publishing
Languange : en
Publisher by : Speedy Publishing LLC
Format Available : PDF, ePub, Mobi
Total Read : 30
Total Download : 366
File Size : 55,6 Mb
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Description : Trigonometry is the branch of science that studies triangles, paying particularly close attention to the measurements between the triangle's points and the angles of the triangle's three corners. Trigonometry is used for a variety of fields, including tailoring, landscaping and architecture. One great reason for people studying trigonometry to have charts is that there are many different formulas used to determine angles and measurements. Having a chart that showed different kinds of triangles and the formulas associated with them is quite handy!


E O Level Essential Study Guide Add Maths Geometry Trigonometry

Author by : Cheng Chung Yu
Languange : en
Publisher by : Singapore Asia Publishers Pte Ltd
Format Available : PDF, ePub, Mobi
Total Read : 39
Total Download : 879
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Description : The Essential Study Guide Additional Mathematics series comes in three parts: Part 1: Focuses on the building up of the foundation in Algebra Part 2: Understanding the concepts in Geometry and Trigonometry Part 3: Focuses on Calculus (Differentiation and Integration) This series of books follows the latest curriculum. The author hopes to make the learning of Additional Mathematics less daunting and stressful. Students will be able to learn at their own pace and individual learning is made possible with the simple and yet detailed explanations of concepts.


High School Trigonometry Tutor

Author by : Anonim
Languange : en
Publisher by : Research & Education Assoc.
Format Available : PDF, ePub, Mobi
Total Read : 60
Total Download : 630
File Size : 49,7 Mb
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Trigonometry Quick Review Ratios In A Triangle

Author by : E Staff
Languange : en
Publisher by : Examville Study Guides
Format Available : PDF, ePub, Mobi
Total Read : 9
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Description : Learn and review on the go! Use Quick Review Geometry/Trigonometry Study Notes to help you learn or brush up on the subject quickly. You can use the review notes as a reference, to understand the subject better and improve your grades. Easy to remember facts to help you perform better.


Attacking Trigonometry Problems

Author by : David S. Kahn
Languange : en
Publisher by : Courier Dover Publications
Format Available : PDF, ePub, Mobi
Total Read : 55
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Description : This volume offers a concise, highly focused review of what high school and beginning college undergraduates need to know to successfully solve the trigonometry problems they will encounter on exams. Rigorously tested examples and coherent, to-the-point explanations are presented in an accessible form and will provide valuable assistance in conquering this challenging subject. Rather than serving as a text or treatise, the book focuses on the essentials of trigonometry. All fourteen sections are organized in a manner that allows readers to advance sequentially or to skip around. The approach encourages memorization of ratios and formulas, and the practice problems offer ample opportunities to become comfortable with applying the trig ratios to a variety of settings.