AN INSTANT NEW YORK TIMES BESTSELLER!

An ode to triangles, the shape that makes our lives possible

Trigonometry is perhaps the most essential concept humans have ever devised. The simple yet versatile triangle allows us to record music, map the world, launch rockets into space, and be slightly less bad at pool. Triangles underpin our day-to-day lives and civilization as we know it.

In Love Triangle, Matt Parker argues we should all show a lot more love for triangles, along with all the useful trigonometry and geometry they enable. To prove his point, he uses triangles to create his own digital avatar, survive a harrowing motorcycle ride, cut a sandwich, fall in love, measure tall buildings in a few awkward bounds, and make some unusual art. Along the way, he tells extraordinary and entertaining stories of the mathematicians, engineers, and philosophers--starting with Pythagoras--who dared to take triangles seriously.

This is the guide you should have had in high school--a lively and definitive answer to Why do I need to learn about trigonometry? Parker reveals triangles as the hidden pattern beneath the surface of the contemporary world. Like love, triangles actually are all around. And in the air. And they're all you need.

Tough Test Questions? Missed Lectures? Not Enough Time? Textbook too Pricey?

Fortunately, there's Schaum's. This all-in-one-package includes more than 600 fully-solved problems, examples, and practice exercises to sharpen your problem-solving skills. Plus, you will have access to 20 detailed videos featuring math instructors who explain how to solve the most commonly tested problems--it's just like having your own virtual tutor You'll find everything you need to build confidence, skills, and knowledge for the highest score possible.

More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. Helpful tables and illustrations increase your understanding of the subject at hand.

Schaum's Outline of Trigonometry, Sixth Edition features:

- Updated content to match the latest curriculum
- Over 600 problems with step-by-step solutions
- An accessible outline format for quick and easy review
- Clear explanations for all linear algebra concepts
- Access to revised Schaums.com website with access to 20 problem-solving videos, and more

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.

The new Must Know series is like a lightning bolt to the brain

Every school subject has must know ideas, or essential concepts, that lie behind it. This book will use that fact to help you learn in a unique way. Most study guides start a chapter with a set of goals, often leaving the starting point unclear. In Must Know High School Trigonometry, however, each chapter will immediately introduce you to the must know idea, or ideas, that lie behind the new trigonometry topic. As you learn these must know ideas, the book will show you how to apply that knowledge to solving trigonometry problems.

Focused on the essential concepts of trigonometry, this accessible guide will help you develop a solid understanding of the subject quickly and painlessly. Clear explanations are accompanied by numerous examples and followed with more challenging aspects of trigonometry. Practical exercises close each chapter and will instill you with confidence in your growing trigonometry skills.

Must Know High School Trigonometry features:

- Each chapter begins with the must know ideas behind the new topic
- Extensive examples illustrate these must know ideas
- Students learn how to apply this new knowledge to problem solving
- 250 practical review questions instill confidence
- IRL (In Real Life) sidebars present real-life examples of the subject at work in culture, science, and history
- Special BTW (By the Way) sidebars provide study tips, exceptions to the rule, and issues students should pay extra attention to
- Bonus app includes 100 flashcards to reinforce what students have learned

Make trigonometry as easy as 1-2-3

Believe it or not, trigonometry is easier than it looks! With the right help, you can breeze through your next trig class, test, or exam and be ready for your next math challenge. In Trigonometry For Dummies, you'll learn to understand the basics of sines, cosines, and tangents, graph functions, solve tough formulas, and even discover how to use trig outside the classroom in some cool and interesting ways.

Ditch the confusing jargon and take a plain-English tour of one of the most useful disciplines in math. In this lifesaving guide, you'll learn how to:

• Graph trig functions, including sine, cosine, tangent, and cotangent functions
• Understand inverse trig functions and solve trig equations
• Relate triangles to circular functions and get a handle on basic identities

So, whether you're looking for an easy-to-use study guide, to boost your math grade, or get a refresher on some basic trig concepts after a long absence from studying, Trigonometry For Dummies is your ticket to understanding the mathematical mysteries of the triangle.

Trigonometry has 2000-year-old roots in everyday useful endeavors, like finding the size of an object too big or far away to measure directly, or navigating from Point A to Point B. However, it is often taught very theoretically, with an emphasis on abstractions. Make: Trigonometry uses 3D printable models and readily-available physical objects like wire and cardboard tubes to develop intuition about concepts in trigonometry and basic analytic geometry. Readers will imagine the thought process of the people who invented these mathematical concepts, and can try out math experiments to see for themselves how ingenious ancient navigators and surveyors really were.

The analytic geometry part of the book links equations to many of these intuitive concepts, which we explore through in-depth explanations of manipulative models of conic sections. This book is aimed at high school students who might be in Algebra II or Pre-Calculus. It shows the geometrical and practical sides of these topics that otherwise can drown in their own algebra.

Make: Trigonometry builds on the basics of the authors' earlier book, Make: Geometry, and is intended as a bridge from that book to their Make: Calculus book. The user can read this book and understand the concepts from the photographs of 3D printable models alone. However, since many models are puzzle-like, we encourage the reader to print the models on any consumer-grade filament based 3D printer. The models are available for download in a freely-available open source repository. They were created in the free program OpenSCAD, and can be 3D printed or modified by the student in OpenSCAD to learn a little coding along the way.

This volume will provide a welcome resource for teachers seeking an undergraduate text on advanced trigonometry, when few are readily available. Ideal for self-study, this text offers a clear, logical presentation of topics and an extensive selection of problems with answers. Contents include the properties of the triangle and the quadrilateral; equations, sub-multiple angles, and inverse functions; hyperbolic, logarithmic, and exponential functions; and expansions in power-series. Further topics encompass the special hyperbolic functions; projection and finite series; complex numbers; de Moivre's theorem and its applications; one- and many-valued functions of a complex variable; and roots of equations. 1930 edition. 79 figures.

Become a trig master in no time

Most math and science study guides are a reflection of the college professors who write them: dry, difficult, and pretentious. The Humongous Book of Trigonometry Problems is the exception. Author Mike Kelley has taken what appears to be a typical trigonometry workbook, chock full of solved problems--more than 750 --and made notes in the margins adding missing steps and simplifying concepts and solutions, so what would be baffling to students is made perfectly clear. No longer will befuddled students wonder where a particular answer came from or have to rely on trial and error to solve problems. And by learning how to interpret and solve problems as they are presented in a standard trigonometry course, students become fully prepared to solve those difficult, obscure problems that were never discussed in class but always seem to find their way onto exams.

The idea behind teaching is to expect students to learn why things are true, rather than have them memorize ways of solving a few problems, as most of our books have done. [This] same philosophy lies behind the current text by Gel'fand and Shen. There are specific 'practical' problems but there is much more development of the ideas....[The authors] have shown how to write a serious yet lively book on algebra.

--- R. Askey, The American Mathematics Monthly (review of Algebra)

I Great and Small Circles

II Spherical Triangles

III Spherical Geometry

IV Relations between the Trigonometrical Functions of the Sides

and the Angles of a Spherical Triangle

V Solution of Right-angled Triangles

VI Solution of Oblique-Angled Triangles

VII Circumscribed and Inscribed Circles

VIII Area of a Spherical Triangle. Spherical Excess

IX On certain approximate Formul

X Geodetical Operations

XI On small variations in the parts of a Spherical Triangle

XII On the connexion of Formul in Plane and Spherical Trigonometry.

XIII Polyhedrons

XIV Arcs drawn to fixed points on the Surface of a Sphere

XV Miscellaneous Propositions

XVI Numerical Solution of Spherical Triangles

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 for any magnitude, 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.

A fun, entertaining exploration of the ideas and people behind the growth of trigonometry

Trigonometry has a reputation as a dry, difficult branch of mathematics, a glorified form of geometry complicated by tedious computation. In Trigonometric Delights, Eli Maor dispels this view. Rejecting the usual descriptions of sine, cosine, and their trigonometric relatives, he brings the subject to life in a compelling blend of history, biography, and mathematics. From the proto-trigonometry of the Egyptian pyramid builders and the first true trigonometry developed by Greek astronomers, to the epicycles and hypocycles of the toy Spirograph, Maor presents both a survey of the main elements of trigonometry and a unique account of its vital contribution to science and social growth. A tapestry of stories, curiosities, insights, and illustrations, Trigonometric Delights irrevocably changes how we see this essential mathematical discipline.

This trigonometry workbook focuses on trig identities. The majority of the exercises let you derive a variety of trig identities by following similar examples. If you get stuck, helpful hints in the back of the book help walk you through the solution. Other exercises include applications, such as how to find the tangent of 15 degrees without a calculator or how to apply trig identities to solve equations. This book also serves as a handy list of numerous trig identities organized by topic. The answer to every problem can be found at the back of the book. The author, Chris McMullen, Ph.D., has over twenty years of experience teaching math skills to physics students. He prepared this workbook of the Improve Your Math Fluency series to share his knowledge of trig identities.

Expand on the concepts of Algebra I and Geometry with this two course book The NOW 2 kNOW(TM) Algebra 2 & Trigonometry text provides clear explanation, useful summaries, and advanced topics. Over 200 problems with worked out solutions provide plenty of practice and guidance. Inside this book: - Algebra I Review - Complex Numbers, Logarithms, Exponentials - Graphing Lines, Circles, Parabolas, Ellipses, & Hyperbolas - Translations, Rotations, Reflections - Trigonometric Functions & Identities - Hyperbolic Trigonometric Functions & Identities

Publisher's Note: Products purchased from Third Party sellers are not guaranteed by the publisher for quality, authenticity, or access to any online entitlements included with the product.

DeMYSTiFieD is your solution for tricky subjects like trigonometry

If you think a Cartesian coordinate is something from science fiction or a hyperbolic tangent is an extremeexaggeration, you need Trigonometry DeMYSTiFieD, Second Edition, to unravel this topic's fundamental concepts and theories at your own pace.

This practical guide eases you into trig, startingwith angles and triangles. As you progress, you willmaster essential concepts such as mapping, functions, vectors, and more. You will learn to transform polar coordinates as well as apply trigonometry in the real world. Detailed examples make it easy to understand the material, and end-of-chapter quizzes and a final exam help reinforce key ideas.

It's a no-brainer! You'll learn about:

• Right triangles
• Circular functions
• Hyperbolic functions
• Inverse functions
• Geometrical optics
• Infinite-series expansions
• Trigonometry on a sphere

Simple enough for a beginner, but challenging enough for an advanced student, Trigonometry DeMYSTiFieD, Second Edition, helps you master this essential subject.

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

About the Author
Tim Hill is a statistician living in Boulder, Colorado. He holds degrees in mathematics and statistics from Stanford University and the University of Colorado. Tim has written self-teaching guides for Algebra, Trigonometry, Geometry, Precalculus, Advanced Precalculus, Permutations & Combinations, Mathematics of Money, and Excel Pivot Tables. When he's not crunching numbers, Tim climbs rocks, hikes canyons, and avoids malls.

An Unabridged Reproduction Of The Original Printing, With Text And All Figures Digitally Enlarged

The Mathematics of the Heavens and the Earth is the first major history in English of the origins and early development of trigonometry. Glen Van Brummelen identifies the earliest known trigonometric precursors in ancient Egypt, Babylon, and Greece, and he examines the revolutionary discoveries of Hipparchus, the Greek astronomer believed to have been the first to make systematic use of trigonometry in the second century BC while studying the motions of the stars. The book traces trigonometry's development into a full-fledged mathematical discipline in India and Islam; explores its applications to such areas as geography and seafaring navigation in the European Middle Ages and Renaissance; and shows how trigonometry retained its ancient roots at the same time that it became an important part of the foundation of modern mathematics.

The Mathematics of the Heavens and the Earth looks at the controversies as well, including disputes over whether Hipparchus was indeed the father of trigonometry, whether Indian trigonometry is original or derived from the Greeks, and the extent to which Western science is indebted to Islamic trigonometry and astronomy. The book also features extended excerpts of translations of original texts, and detailed yet accessible explanations of the mathematics in them.

No other book on trigonometry offers the historical breadth, analytical depth, and coverage of non-Western mathematics that readers will find in The Mathematics of the Heavens and the Earth.

103 Trigonometry Problems contains highly-selected problems and solutions used in the training and testing of the USA International Mathematical Olympiad (IMO) team. Though many problems may initially appear impenetrable to the novice, most can be solved using only elementary high school mathematics techniques. Basic topics include trigonometric formulas and identities, their applications in the geometry of the triangle, trigonometric equations and inequalities, and substitutions involving trigonometric functions. 103 Trigonometry Problems is a cogent problem-solving resource for advanced high school students, undergraduates, and mathematics teachers engaged in competition training.

An interdisciplinary history of trigonometry from the mid-sixteenth century to the early twentieth

The Doctrine of Triangles offers an interdisciplinary history of trigonometry that spans four centuries, starting in 1550 and concluding in the 1900s. Glen Van Brummelen tells the story of trigonometry as it evolved from an instrument for understanding the heavens to a practical tool, used in fields such as surveying and navigation. In Europe, China, and America, trigonometry aided and was itself transformed by concurrent mathematical revolutions, as well as the rise of science and technology.

Following its uses in mid-sixteenth-century Europe as the foot of the ladder to the stars and the mathematical helpmate of astronomy, trigonometry became a ubiquitous tool for modeling various phenomena, including animal populations and sound waves. In the late sixteenth century, trigonometry increasingly entered the physical world through the practical disciplines, and its societal reach expanded with the invention of logarithms. Calculus shifted mathematical reasoning from geometric to algebraic patterns of thought, and trigonometry's participation in this new mathematical analysis grew, encouraging such innovations as complex numbers and non-Euclidean geometry. Meanwhile in China, trigonometry was evolving rapidly too, sometimes merging with indigenous forms of knowledge, and with Western discoveries. In the nineteenth century, trigonometry became even more integral to science and industry as a fundamental part of the science and engineering toolbox, and a staple subject in high school classrooms.

A masterful combination of scholarly rigor and compelling narrative, The Doctrine of Triangles brings trigonometry's rich historical past full circle into the modern era.