Trigonometry Workbook for Dummies - Mary Jane Sterling

. .

Résumé :
From angles to functions to identities - solve trig equations with ease

Got a grasp on the terms and concepts you need to know, but get lost halfway through a problem or worse yet, not know where to begin? No fear - this hands-on-guide focuses on helping you solve the many types of trigonometry equations you encounter in a focused, step-by-step manner. With just enough refresher explanations before each set of problems, you'll sharpen your skills and improve your performance. You'll see how to work with angles, circles, triangles, graphs, functions, the laws of sines and cosines, and more!

100s of Problems!
* Step-by-step answer sets clearly identify where you went wrong (or right) with a problem
* Get the inside scoop on graphing trig functions
* Know where to begin and how to solve the most common equations
* Use trig in practical applications with confidence...

Biographie:

Mary Jane Sterling has been a mathematics teacher for more than 30 years....

Sommaire:

Introduction 1

About This Book 1

Conventions Used in This Book 1

Foolish Assumptions 2

How This Book is Organized 2

Part I: Trying Out Trig: Starting at the Beginning 2

Part II: Trigonometric Functions 3

Part III: Trigonometric Identities and Equations 3

Part IV: Graphing the Trigonometric Functions 3

Part V: The Part of Tens 4

Icons Used in This Book 4

Where to Go from Here 4

Part I: Trying Out Trig: Starting at the Beginning 5

Chapter 1: Tackling Technical Trig 7

Getting Angles Labeled by Size 7

Naming Angles Where Lines Intersect 9

Writing Angle Names Correctly 10

Finding Missing Angle Measures in Triangles 11

Determining Angle Measures along Lines and outside Triangles 12

Dealing with Circle Measurements 14

Tuning In with the Right Chord 15

Sectioning Off Sectors of Circles 16

Answers to Problems on Tackling Technical Trig 17

Chapter 2: Getting Acquainted with the Graph 21

Plotting Points 21

Identifying Points by Quadrant 23

Working with Pythagoras 24

Keeping Your Distance 26

Finding Midpoints of Segments 27

Dealing with Slippery Slopes 28

Writing Equations of Circles 30

Graphing Circles 32

Answers to Problems on Graphing 33

Chapter 3: Getting the Third Degree 37

Recognizing First-Quadrant Angles 37

Expanding Angles to Other Quadrants 39

Expanding Angles beyond 360 Degrees 40

Coordinating with Negative Angle Measures 41

Dealing with Coterminal Angles 42

Answers to Problems on Measuring in Degrees 43

Chapter 4: Recognizing Radian Measure 45

Becoming Acquainted with Graphed Radians 45

Changing from Degrees to Radians 47

Changing from Radians to Degrees 49

Measuring Arcs 50

Determining the Area of a Sector 52

Answers to Problems on Radian Measure 53

Chapter 5: Making Things Right with Right Triangles 57

Naming the Parts of a Right Triangle 57

Completing Pythagorean Triples 59

Completing Right Triangles 61

Working with the 30-60-90 Right Triangle 62

Using the Isosceles Right Triangle 64

Using Right Triangles in Applications 65

Answers to Problems on Right Triangles 68

Part II: Trigonometric Functions 75

Chapter 6: Defining Trig Functions with a Right Triangle 77

Defining the Sine Function 78

Cooperating with the Cosine Function 79

Sunning with the Tangent Definition 80

Hunting for the Cosecant Definition 81

Defining the Secant Function 82

Coasting Home with the Cotangent 83

Establishing Trig Functions for Angles in Special Right Triangles 85

Applying the Trig Functions 86

Answers to Problems on Defining Trig Functions 88

Chapter 7: Discussing Properties of the Trig Functions 93

Defining a Function and Its Inverse 93

Deciding on the Domains 95

Reaching Out for the Ranges 97

Closing In on Exact Values 98

Determining Exact Values for All Functions 99

Answers to Problems in Properties of Trig Functions 102

Chapter 8: Going Full Circle with the Circular Functions 105

Finding Points on the Unit Circle 105

Determining Reference Angles 108

Assigning the Signs of Functions by Quadrant 111

Figuring Out Trig Functions around the Clock 113

Answers to Problems in Going Full Circle 115

Part III: Trigonometric Identities and Equations 119

Chapter 9: Identifying the Basic Identities 121

Using the R...