Trigonometry Download Ebook PDF Epub Online

Author : I.M. Gelfand
Mark Saul
Publisher : Springer Science & Business Media
Release : 2001-06-08
Page : 229
Category : Mathematics
ISBN 13 : 9780817639143
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.


Author : Mary Jane Sterling
Publisher : John Wiley & Sons
Release : 2014-02-24
Page : 384
Category : Mathematics
ISBN 13 : 1118827414
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.


Author : J. S. Ratti
Marcus McWaters
Publisher : Addison-Wesley Longman
Release : 2009-10-30
Page : 430
Category : Education
ISBN 13 : 9780321567987
Description :


KEY BENEFIT: Ratti and McWaters have combined years of lecture notes and firsthand experience with students to bring professors a text series that teaches at the same level and in the style that they do. An extensive array of exercises and learning aids further complements your instruction in class and during office hours. KEY TOPICS: Trigonometric Functions; Right Triangle Trigonometry; Radian Measure and Circular Functions; Graphs of the Circular Functions; Trigonometric Identities; Inverse Functions and Trigonometric Equations; Applications of Trigonometric Functions; Vectors; Polar Coordinates and Complex Numbers MARKET: For all readers interested in trigonometry.


Author : Glen Van Brummelen
Publisher : Oxford University Press, USA
Release : 2020-01-23
Page : 192
Category : Mathematics
ISBN 13 : 0198814313
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.


Author : Robert Moyer
Frank Ayres
Publisher : McGraw Hill Professional
Release : 2012-11-27
Page : 216
Category : Study Aids
ISBN 13 : 0071795359
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


Author : Mel Friedman
Publisher : Research & Education Assn
Release : 2008-11-25
Page : 214
Category : Juvenile Nonfiction
ISBN 13 : 9780738604558
Description :


NEW from REA…Groundbreaking, Easy-to-Use Workbook Series for Students Struggling with Math REA's Ready, Set, Go! Series is a Perfect Study Tool for Exit Exams, End-of-Course Exams, or Graduation Exams Many students continue to struggle in high school math courses because they failed to master the basic mathematical skills. REA's new Ready, Set, Go! Workbook series takes the confusion out of math, helping students raise their grades and score higher on important exams. What makes REA's workbooks different? For starters, students will actually like using them. Here's why: Math is explained in simple language, in an easy-to-follow style The workbooks allow students to learn at their own pace and master the subject 15 lessons break down the material into the basics Each lesson is fully devoted to a key math concept and includes many step-by-step examples Paced instruction with drills and quizzes reinforces learning The innovative “Math Flash” feature offers helpful tips and strategies in each lesson—including advice on common mistakes to avoid Skill scorecard measures the student's progress and success Every answer to every question, in every test, is explained in full detail A final exam is included so students can test what they've learned When students apply the skills they've mastered in our workbooks, they can do better in class, raise their grades, and score higher on the all-important end-of-course, graduation, and exit exams. Some of the math topics covered in the Ready, Set, Go! Trigonometry Workbook include: Trigonometric Ratios Graphing Points and Angles Special Angles Inverse Trigonometric Values Solving Triangles Solving Four-Sided Figures Solving Trigonometric Equations and more! Whether used in a classroom, for home or self study, or with a tutor, this workbook gets students ready for important math tests and exams, set to take on new challenges, and helps them go forward in their studies!


Author : Ted Sundstrom
Steven Schlicker
Publisher :
Release : 2017-12-08
Page : 440
Category :
ISBN 13 : 9781981517275
Description :


This college level trigonometry text may be different than most other trigonometry textbooks. In this book, the reader is expected to do more than read the book but is expected to study the material in the book by working out examples rather than just reading about them. So the book is not just about mathematical content (although it does contain important topics in trigonometry needed for further study in mathematics), but it is also about the process of learning and doing mathematics and is designed not to be just casually read but rather to be engaged. Recognizing that actively studying a mathematics book is often not easy, several features of the textbook have been designed to help students become more engaged as they study the material. Some of the features are: Beginning activities in each section that engage students with the material to be introduced, focus questions that help students stay focused on what is important in the section, progress checks that are short exercises or activities that replace the standard examples in most textbooks, a section summary, and appendices with answers for the progress checks and selected exercises.


Author : Roger Delbourgo
Publisher : World Scientific Publishing Company
Release : 2016-12-15
Page : 188
Category :
ISBN 13 : 9813203137
Description :


This book provides a thorough, intermediate-level yet concise course in Trigonometry for use in colleges. There are 37 short chapters, each treating one specific theme and containing worked examples and easy exercises. Central to the work are the trigonometric properties of triangle ABC and its associated points. A small appendix contains some Spherical Trigonometry with interesting problems related to the earth; a larger one for enthusiastic students provides further lengthier exercises for extra practice, and full solutions are supplied in the conclusion. Compared with other books on Trigonometry, this book covers the vast spread of topics. Especially, the author reminds readers of the historical importance of theorems enunciated by such contributors as Ptolemy, Euler, Morley, etc. Their names not only invite the readers to appreciate the beauty of these results, but also direct readers to mystery unknown. Request Inspection Copy


Author : Tim Hill
Publisher : Questing Vole Press
Release : 2013-10-16
Page : 86
Category : Mathematics
ISBN 13 : 1937842169
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


Author : Jay P. Abramson
Valeree Falduto
Publisher :
Release : 2015-02-13
Page : 1564
Category : Algebra
ISBN 13 : 9781938168376
Description :


"The text is suitable for a typical introductory algebra course, and was developed to be used flexibly. While the breadth of topics may go beyond what an instructor would cover, the modular approach and the richness of content ensures that the book meets the needs of a variety of programs."--Page 1.


Author : James Stewart
Lothar Redlin
Publisher : Cengage Learning
Release : 2012-01-01
Page : 624
Category : Mathematics
ISBN 13 : 9781111574482
Description :


TRIGONOMETRY is designed to help you learn to think mathematically. With this text, you can stop relying on merely memorizing facts and mimicking examples—and instead develop true, lasting problem-solving skills. Clear and easy to read, TRIGONOMETRY illustrates how trigonometry is used and applied to real life, and helps you understand and retain what you learn in class. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.


Author : Marilyn Occhiogrosso
Publisher : Milliken Publishing Company
Release : 2007-09-01
Page : 11
Category : Education
ISBN 13 : 0787728187
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.


Author : Cynthia Y. Young
Publisher : John Wiley & Sons
Release : 2011-10-04
Page : 746
Category : Mathematics
ISBN 13 : 0470648023
Description :


The third edition of Cynthia Young's Trigonometry 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. The seamless integration of Cynthia Young's Trigonometry 3rd edition with WileyPLUS, a research-based, online environment for effective teaching and learning, continues Young's vision of building student confidence in mathematics because it takes the guesswork out of studying by providing them with a clear roadmap: what to do, how to do it, and whether they did it right. WileyPLUS sold separately from text.


Author : Titu Andreescu
Zuming Feng
Publisher : Springer Science & Business Media
Release : 2004-12-15
Page : 214
Category : Mathematics
ISBN 13 : 9780817643348
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


Author : Anthony Nicolaides
Publisher : PASS PUBLICATIONS
Release : 2007
Page : 120
Category : Trigonometry
ISBN 13 : 1872684874
Description :



Author : Harley Flanders
Justin J. Price
Publisher : Elsevier
Release : 2014-05-10
Page : 442
Category : Mathematics
ISBN 13 : 1483271048
Description :


Algebra and Trigonometry presents the essentials of algebra and trigonometry with some applications. The emphasis is on practical skills, problem solving, and computational techniques. Topics covered range from equations and inequalities to functions and graphs, polynomial and rational functions, and exponentials and logarithms. Trigonometric functions and complex numbers are also considered. Comprised of 11 chapters, this book begins with a discussion on the fundamentals of algebra, each topic explained, illustrated, and accompanied by an ample set of exercises. The proper use of algebraic notation and practical manipulative skills such as factoring, using exponents and radicals, and simplifying rational expressions is highlighted, along with the most common mistakes in algebra. The reader is then introduced to the solution of linear, quadratic, and other types of equations and systems of equations, as well as the solution of inequalities. Subsequent chapters deal with the most basic functions: polynomial, rational, exponential, logarithm, and trigonometric. Trigonometry and the inverse trigonometric functions and identities are also presented. The book concludes with a review of progressions, permutations, combinations, and the binomial theorem. This monograph will be a useful resource for undergraduate students of mathematics and algebra.


Author : Glen Van Brummelen
Publisher : Princeton University Press
Release : 2009
Page : 329
Category : Mathematics
ISBN 13 : 9780691129730
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


Author : Eli Maor
Publisher : Princeton University Press
Release : 2013-02-24
Page : 236
Category : Mathematics
ISBN 13 : 0691158207
Description :


Trigonometry has always been an underappreciated branch of mathematics. It has a reputation as a dry and difficult subject, a glorified form of geometry complicated by tedious computation. In this book, Eli Maor draws on his remarkable talents as a guide to the world of numbers to dispel that view. Rejecting the usual arid descriptions of sine, cosine, and their trigonometric relatives, he brings the subject to life in a compelling blend of history, biography, and mathematics. He presents both a survey of the main elements of trigonometry and a unique account of its vital contribution to science and social development. Woven together in a tapestry of entertaining stories, scientific curiosities, and educational insights, the book more than lives up to the title Trigonometric Delights. ? Maor, whose previous books have demystified the concept of infinity and the unusual number "e," begins by examining the "proto-trigonometry" of the Egyptian pyramid builders. He shows how Greek astronomers developed the first true trigonometry. He traces the slow emergence of modern, analytical trigonometry, recounting its colorful origins in Renaissance Europe's quest for more accurate artillery, more precise clocks, and more pleasing musical instruments. Along the way, we see trigonometry at work in, for example, the struggle of the famous mapmaker Gerardus Mercator to represent the curved earth on a flat sheet of paper; we see how M. C. Escher used geometric progressions in his art; and we learn how the toy Spirograph uses epicycles and hypocycles. Maor also sketches the lives of some of the intriguing figures who have shaped four thousand years of trigonometric history. We meet, for instance, the Renaissance scholar Regiomontanus, who is rumored to have been poisoned for insulting a colleague, and Maria Agnesi, an eighteenth-century Italian genius who gave up mathematics to work with the poor--but not before she investigated a special curve that, due to mistranslation, bears the unfortunate name "the witch of Agnesi." The book is richly illustrated, including rare prints from the author's own collection. Trigonometric Delights will change forever our view of a once dreaded subject.


Author : Thomas J. McHale
Publisher : Addison Wesley
Release : 1984
Page : 407
Category : Mathematics
ISBN 13 :
Description :



Author : A. Albert Klaf
Publisher : Courier Corporation
Release : 2011-11-30
Page : 656
Category : Mathematics
ISBN 13 : 0486151042
Description :


Covers the most important aspects of plane and spherical trigonometry. Discusses special problems in navigation, surveying, elasticity, architecture, and various fields of engineering. Includes 1,738 problems, many with solutions. 1946 edition. Features 494 figures.