CliffsQuickReview course guides cover the essentials of your toughest classes. Get a firm grip on core concepts and key material, and test your newfound knowledge with review questions.__CliffsQuickReview Trigonometry__ provides you with all you need to know to understand the basic concepts of trigonometry — whether you need a supplement to your textbook and classes or an at-a-glance reference. Trigonometry isn't just measuring angles; it has many applications in the real world, such as in navigation, surveying, construction, and many other branches of science, including mathematics and physics. As you work your way through this review, you'll be ready to tackle such concepts as* Trigonometric functions, such as sines and cosines* Graphs and trigonometric identities* Vectors, polar coordinates, and complex numbers* Inverse functions and equations You can use __CliffsQuickReview Trigonometry__ in any way that fits your personal style for study and review — you decide what works best with your needs. You can read the book from cover to cover or just look for the information you want and put it back on the shelf for later. Here are just a few ways you can search for topics:* Use the free Pocket Guide full of essential information* Get a glimpse of what you’ll gain from a chapter by reading through the Chapter Check-In at the beginning of each chapter* Use the Chapter Checkout at the end of each chapter to gauge your grasp of the important information you need to know* Test your knowledge more completely in the CQR Review and look for additional sources of information in the CQR Resource Center* Use the glossary to find key terms fast With titles available for all the most popular high school and college courses, CliffsQuickReview guides are a comprehensive resource that can help you get the best possible grades. CliffsQuickReview course guides cover the essentials of your toughest classes. Get a firm grip on core concepts and key material, and test your newfound knowledge with review questions. CliffsQuickReview Trigonometry provides you with all you need to know to understand the basic concepts of trigonometry -- whether you need a supplement to your textbook and classes or an at-a-glance reference. Trigonometry isn't just measuring angles; it has many applications in the real world, such as in navigation, surveying, construction, and many other branches of science, including mathematics and physics. As you work your way through this review, you'll be ready to tackle such concepts as Trigonometric functions, such as sines and cosines Graphs and trigonometric identities Vectors, polar coordinates, and complex numbers Inverse functions and equations You can use CliffsQuickReview Trigonometry in any way that fits your personal style for study and review -- you decide what works best with your needs. You can read the book from cover to cover or just look for the information you want and put it back on the shelf for later. Here are just a few ways you can search for topics: Use the free Pocket Guide full of essential information Get a glimpse of what you'll gain from a chapter by reading through the Chapter Check-In at the beginning of each chapter Use the Chapter Checkout at the end of each chapter to gauge your grasp of the important information you need to know Test your knowledge more completely in the CQR Review and look for additional sources of information in the CQR Resource Center Use the glossary to find key terms fast With titles available for all the most popular high school and college courses, CliffsQuickReview guides are a comprehensive resource that can help you get the best possible grades. CliffsQuickReview course guides cover the essentials of your toughest classes. Get a firm grip on core concepts and key material, and test your newfound knowledge with review questions. CliffsQuickReview Trigonometry provides you with all you need to know to understand the basic concepts of trigonometry whether you need a supplement to your textbook and classes or an at-a-glance reference. Trigonometry isn't just measuring angles; it has many applications in the real world, such as in navigation, surveying, construction, and many other branches of science, including mathematics and physics. As you work your way through this review, you'll be ready to tackle such concepts as Trigonometric functions, such as sines and cosines Graphs and trigonometric identities Vectors, polar coordinates, and complex numbers Inverse functions and equations You can use CliffsQuickReview Trigonometry in any way that fits your personal style for study and review you decide what works best with your needs. You can read the book from cover to cover or just look for the information you want and put it back on the shelf for later. Here are just a few ways you can search for topics: Use the free Pocket Guide full of essential information Get a glimpse of what you ll gain from a chapter by reading through the Chapter Check-In at the beginning of each chapter Use the Chapter Checkout at the end of each chapter to gauge your grasp of the important information you need to know Test your knowledge more completely in the CQR Review and look for additional sources of information in the CQR Resource Center Use the glossary to find key terms fast With titles available for all the most popular high school and college courses, CliffsQuickReview guides are a comprehensive resource that can help you get the best possible grades." CliffsQuickReview TM Trigonometry 1 About the Author 4 Table of Contents 5 INTRODUCTION 7 Why You Need This Book 7 How to Use This Book 7 Visit Our Web Site 8 Chapter 1 TRIGONOMETRIC FUNCTIONS 9 Angles 10 Functions of Acute Angles 15 Functions of General Angles 19 Tables of Trigonometric Functions 24 Chapter 2 TRIGONOMETRY OF TRIANGLES 28 Solving Right Triangles 28 Law of Cosines 33 Law of Sines 37 Solving General Triangles 43 Areas of Triangles 51 Chapter 3 GRAPHS OF TRIGONOMETRIC FUNCTIONS 57 Radians 57 Circular Functions 62 Periodic and Symmetric Trigonometric Functions 66 Graphs of the Sine and Cosine 70 Graphs of Other Trigonometric Functions 76 Graphs of Special Trigonometric Functions 82 Chapter 4 TRIGONOMETRIC IDENTITIES 85 Fundamental Identities 85 Addition Identities 89 Double-Angle and Half-Angle Identities 93 Tangent Identities 97 Product-Sum and Sum-Product Identities 101 Chapter 5 VECTORS 105 Vector Operations 105 Vectors in the Rectangular Coordinate System 111 Chapter 6 POLAR COORDINATES AND COMPLEX NUMBERS 119 Polar Coordinates 119 Geometry of Complex Numbers 125 De Moivre's Theorem 128 Chapter 7 INVERSE FUNCTIONS AND EQUATIONS 133 Inverse Cosine and Inverse Sine 133 Other Inverse Trigonometric Functions 138 Trigonometric Equations 143 Chapter 8 ADDITIONAL TOPICS 146 The Expression M sin Bt + N cos Bt 146 Uniform Circular Motion 149 Simple Harmonic Motion 152 CQR REVIEW 154 CQR RESOURCE CENTER 160 GLOSSARY 162 Index 167 This compact textbook mirrors the curriculum for a typical trigonometry course, which includes trigonometric functions, trigonometry of triangles, vectors, polar coordinates, complex numbers and much more. Historically, trigonometry was developed to help find them measurements in triangles as an aid in navigation and surveying.