Essential Trigonometry
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Essential Trigonometry
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Author : Tim Hill
language : en
Publisher: Questing Vole Press
Release Date : 2013-10-16
Essential Trigonometry written by Tim Hill and has been published by Questing Vole Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-16 with Mathematics categories.
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
Heavenly Mathematics
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Author : Glen Van Brummelen
language : en
Publisher: Princeton University Press
Release Date : 2017-04-04
Heavenly Mathematics written by Glen Van Brummelen and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-04 with Mathematics categories.
"Spherical trigonometry was at the heart of astronomy and ocean-going navigation for two millennia. The discipline was a mainstay of mathematics education for centuries, and it was a standard subject in high schools until the 1950s. Today, however, it is rarely taught. Heavenly Mathematics traces the rich history of this forgotten art, revealing how the cultures of classical Greece, medieval Islam, and the modern West used spherical trigonometry to chart the heavens and the Earth."--Jacket.
The Essential Calculus Workbook Trigonometric Functions
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Author : Tim Hill
language : en
Publisher: Questing Vole Press
Release Date : 2019-05-23
The Essential Calculus Workbook Trigonometric Functions written by Tim Hill and has been published by Questing Vole Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-23 with Mathematics categories.
Ready to step up your game in calculus? This workbook isn't the usual parade of repetitive questions and answers. Author Tim Hill's approach lets you work on problems you enjoy, rather than through exercises and drills you fear, without the speed pressure, timed testing, and rote memorization that damage your experience of mathematics. Working through varied problems in this anxiety-free way helps you develop an understanding of numerical relations apart from the catalog of mathematical facts that's often stressed in classrooms and households. This number sense, common in high-achieving students, lets you apply and combine concepts, methods, and numbers flexibly, without relying on distant memories. - Solutions to basic problems are steeped in the fundamentals, including notation, terminology, definitions, theories, proofs, physical laws, and related concepts. - Advanced problems explore variations, tricks, subtleties, and real-world applications. - Problems build gradually in difficulty with little repetition. If you get stuck, then flip back a few pages for a hint or to jog your memory. - Numerous pictures depicting mathematical facts help you connect visual and symbolic representations of numbers and concepts. - Treats calculus as a problem-solving art requiring insight and intuitive understanding, not as a branch of logic requiring careful deductive reasoning. - Discards the common and damaging misconception that fast students are strong students. Good students aren't particularly fast with numbers because they think deeply and carefully about mathematics. - Detailed solutions and capsule reviews greatly reduce the need to cross reference a comprehensive calculus textbook. Topics covered: Basic trigonometry. Limits, derivatives, integrals, and graphs of basic and inverse trigonometric functions. Solids of revolution. Buffon's needle problem. The corridor problem. Simple harmonic motion. Newton's second law of motion. The hyperbolic functions sinh, cosh, and tanh. Catenaries. Prerequisite mathematics: Tangent lines. Curve sketching. Limits. Continuity. Basic derivatives. Basic integrals. Inverse functions. Maxima and minima. Inflection points. Contents 1. Review of Trigonometry 2. Elementary Trigonometry 3. Derivatives of Sine and Cosine 4. Integrals of Sine and Cosine 5. Derivatives of Other Trigonometric Functions 6. Inverse Trigonometric Functions 7. Harmonic Motion 8. Hyperbolic Functions
Trigonometry
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Author : I.M. Gelfand
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Trigonometry written by I.M. Gelfand and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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.
Advanced Trigonometry
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Author : C. V. Durell
language : en
Publisher: Courier Corporation
Release Date : 2012-11-20
Advanced Trigonometry written by C. V. Durell and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-20 with Mathematics categories.
This volume is a welcome resource for teachers seeking an undergraduate text on advanced trigonometry. Ideal for self-study, this book offers a variety of topics with problems and answers. 1930 edition. Includes 79 figures.
Trigonometry Essentials Practice Workbook With Answers
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Author : Chris McMulen
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2012-05-18
Trigonometry Essentials Practice Workbook With Answers written by Chris McMulen and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-18 with Trigonometry categories.
AUTHOR Chris McMullen earned his Ph.D. in physics from Oklahoma State University and currently teaches physics at Northwestern State University of Louisiana. He developed the Improve Your Math Fluency series of workbooks to help students become more fluent in basic math skills. WHAT TO EXPECT This is a workbook designed to offer plenty of practice with essential skills. It is not a textbook designed to teach trigonometry, but a workbook designed to supplement a student's instruction in trigonometry. Examples and a brief description of the concepts are included to serve as a quick refresher and a guide. If you need more instruction, you should use this workbook in combination with a textbook. The last chapter involves applications of trig identities, which is a challenging topic that will mostly interest more advanced students. A few chapters are intended to help students memorize the trig functions of common angles like 30, 150, or 315 degrees, which will be especially useful for students who may take exams without a calculator (that's the case with the MCAT and many math and science courses). There may be more practice than many students need, which is much better than having too little practice. Any extra pages may be helpful for teachers or parents with multiple children. DESCRIPTION This Trigonometry Essentials Practice Workbook with Answers provides ample practice for developing fluency in very fundamental trigonometry skills. Every problem can be answered without a calculator, which is very helpful for students who aren't allowed to use a calculator. This is the case in some trig and physics courses, as well as some standardized exams (like the MCAT). CONTENTS This workbook is conveniently divided up into 11 chapters so that students can focus on one trigonometry skill at a time. Skills include the following: converting between degrees and radians; expressing sine, cosine, tangent, secant, cosecant, and cotangent as fractions by looking at right triangles; solving for unknown sides and angles in 45°-45°-90° and 30°-60°-90° right triangles; determining the sine, cosine, tangent, secant, cosecant, and cotangent of multiples of 30° and 45° up to 360° (working with both degrees and radians); practice finding the reference angle for angles in Quadrants II, III, and IV; finding the inverse trig functions; applying the law of sines and the law of cosines to solve for unknown sides and angles in acute and obtuse triangles; solving problems with trig identities (like the angle sum and difference formulas); and solving algebraic equations that feature basic trig functions. EXAMPLES Each section begins with a few pages of instructions for how to solve the problems followed by some examples. These examples should serve as a useful guide until students are able to solve the problems independently. ANSWERS Answers to exercises are tabulated at the back of the book. This helps students develop confidence and ensures that students practice correct techniques, rather than practice making mistakes. PHOTOCOPIES The copyright notice permits parents/teachers who purchase one copy or borrow one copy from a library to make photocopies for their own children/students only. This is very convenient if you have multiple children/students or if a child/student needs additional practice. INTRODUCTION An introduction describes how parents and teachers can help students make the most of this workbook. Students are encouraged to time and score each page. In this way, they can try to have fun improving on their records, which can help lend them confidence in their math skills.
Essential Precalculus
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Author : Tim Hill
language : en
Publisher: Questing Vole Press
Release Date : 2018-06-12
Essential Precalculus written by Tim Hill and has been published by Questing Vole Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-12 with Mathematics categories.
This no-nonsense guide provides students and self-learners with a clear and readable study of the most important ideas of precalculus mathematics. 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 weeks 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 the subject 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. - Provides exceptional preparation for a calculus course. - Includes problems (with all solutions) that extend your knowledge rather than merely reinforce it. Contents 1. The Real Line and Coordinate Plane 2. Straight Lines 3. Circles and Parabolas 4. Functions 5. Graphs 6. Trigonometry 7. Solutions
The Not So Scary Guide To Basic Trigonometry
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Author : Kevin D. Hunter
language : en
Publisher: Trafford Publishing
Release Date : 2011-04
The Not So Scary Guide To Basic Trigonometry written by Kevin D. Hunter and has been published by Trafford Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04 with Mathematics categories.
The Not-So-Scary Guide to Basic Trigonometry eliminates the fear, frustration, and anxiety often associated with learning trigonometry. By introducing a new, intuitive technique called a "mathematical tripod," author Kevin D. Hunter is able to do away with traditional, complicated algebraic methods, resulting in better comprehension and less stress. This slim but effective guide is written in a simple, straightforward style designed to make things easy for the average person who may not be well versed in the concepts of geometry or algebra. The numerous explanations, diagrams, and drawings will appeal to many different learning styles, and the provided practice problems walk readers step-by-step through the process of finding the correct answer. Those who do not have the time or the money for expensive college courses or seminars will benefit from the easy-to-learn methods introduced in this guide. Anyone with a scientific calculator and a basic understanding of multiplication and division can learn and apply the fundamentals of trigonometry. Trigonometry shouldn't be scary, and now it doesn't have to be with The Not-So-Scary Guide to Basic Trigonometry.
Trigonometry
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Author : Ted Sundstrom
language : en
Publisher:
Release Date : 2017-12-08
Trigonometry written by Ted Sundstrom and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-08 with categories.
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.
Foundations Of Mathematics
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Author : Philip Brown
language : en
Publisher:
Release Date : 2016
Foundations Of Mathematics written by Philip Brown and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Mathematics categories.
"Foundations of Mathematics offers the university student or interested reader a unique reference book by covering the basics of algebra, trigonometry, geometry, and calculus. There are many instances in the book to demonstrate the interplay and interconnectedness of these topics. It presents definitions and examples throughout for clear, easy learning. Numerous exercises are included at the ends of the chapters, and readers are encouraged to complete all of them as an essential part of working through the book. It offers a unique experiences for readers to understand different areas of mathematics in one clear, concise text"--back cover.