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Trigonometry Workbook for Dummies

ISBN-10: 0764587811
ISBN-13: 9780764587818
Edition: 2005
List price: $16.99 Buy it from $4.89
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Description: 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  More...

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Book details

List price: $16.99
Copyright year: 2005
Publisher: John Wiley & Sons, Incorporated
Publication date: 7/8/2005
Binding: Paperback
Pages: 312
Size: 8.50" wide x 11.00" long x 1.25" tall
Weight: 1.100
Language: English

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

Introduction
About This Book
Conventions Used in This Book
Foolish Assumptions
How This Book Is Organized
Icons Used in This Book
Where to Go from Here
Trying Out Trig: Starting at the Beginning
Tackling Technical Trig
Getting Angles Labeled by Size
Naming Angles Where Lines Intersect
Writing Angle Names Correctly
Finding Missing Angle Measures in Triangles
Determining Angle Measures along Lines and outside Triangles
Dealing with Circle Measurements
Tuning In with the Right Chord
Sectioning Off Sectors of Circles
Answers to Problems on Tackling Technical Trig
Getting Acquainted with the Graph
Plotting Points
Identifying Points by Quadrant
Working with Pythagoras
Keeping Your Distance
Finding Midpoints of Segments
Dealing with Slippery Slopes
Writing Equations of Circles
Graphing Circles
Answers to Problems on Graphing
Getting the Third Degree
Recognizing First-Quadrant Angles
Expanding Angles to Other Quadrants
Expanding Angles beyond 360 Degrees
Coordinating with Negative Angle Measures
Dealing with Coterminal Angles
Answers to Problems on Measuring in Degrees
Recognizing Radian Measure
Becoming Acquainted with Graphed Radians
Changing from Degrees to Radians
Changing from Radians to Degrees
Measuring Arcs
Determining the Area of a Sector
Answers to Problems on Radian Measure
Making Things Right with Right Triangles
Naming the Parts of a Right Triangle
Completing Pythagorean Triples
Completing Right Triangles
Working with the 30-60-90 Right Triangle
Using the Isosceles Right Triangle
Using Right Triangles in Applications
Answers to Problems on Right Triangles
Trigonometric Functions
Defining Trig Functions with a Right Triangle
Defining the Sine Function
Cooperating with the Cosine Function
Sunning with the Tangent Definition
Hunting for the Cosecant Definition
Defining the Secant Function
Coasting Home with the Cotangent
Establishing Trig Functions for Angles in Special Right Triangles
Applying the Trig Functions
Answers to Problems on Defining Trig Functions
Discussing Properties of the Trig Functions
Defining a Function an Its Inverse
Deciding on the Domains
Reaching Out for the Ranges
Closing In on Exact Values
Determining Exact Values for All Functions
Answers to Problems in Properties of Trig Functions
Going Full Circle with the Circular Functions
Finding Points on the Unit Circle
Determining Reference Angles
Assigning the Signs of Functions by Quadrant
Figuring Out Trig Functions around the Clock
Answers to Problems in Going Full Circle
Trigonometric Identities and Equations
Identifying the Basic Identities
Using the Reciprocal Identities
Creating the Ratio Identities
Playing Around with Pythagorean Identities
Solving Identities Using Reciprocals, Ratios, and Pythagoras
Answers to Problems on Basic Identities
Using Identities Defined with Operations
Adding Up the Angles with Sum Identities
Subtracting Angles with Difference Identities
Doubling Your Pleasure with Double Angle Identities
Multiplying the Many by Combining Sums and Doubles
Halving Fun with Half-Angle Identities
Simplifying Expressions with Identities
Solving Identities
Answers to Problems on Using Identities
Techniques for Solving Trig Identities
Working on One Side at a Time
Working Back and Forth on Identities
Changing Everything to Sine and Cosine
Multiplying by Conjugates
Squaring Both Sides
Finding Common Denominators
Writing All Functions in Terms of Just One
Answers to Problems Techniques for Solving Identities
Introducing Inverse Trig Functions
Determining the Correct Quadrants
Evaluating Expressions Using Inverse Trig Functions
Solving Equations Using Inverse Trig Functions
Creating Multiple Answers for Multiple and Half-Angles
Answers to Problems on Inverse Trig Functions
Solving Trig Equations
Solving for Solutions within One Rotation
Solving Equations with Multiple Answers
Special Factoring for a Solution
Using Fractions and Common Denominators to Solve Equations
Using the Quadratic Formula
Answers to Problems on Solving Trig Equations
Revisiting the Triangle with New Laws
Using the Law of Sines
Adding the Law of Cosines
Dealing with the Ambiguous Case
Investigating the Law of Tangents
Finding the Area of a Triangle the Traditional Way
Flying In with Heron's Formula
Finding Area with an Angle Measure
Applying Triangles
Answers to Problems on Triangles
Graphing the Trigonometric Functions
Graphing Sine and Cosine
Determining Intercepts and Extreme Values
Graphing the Basic Sine and Cosine Curves
Changing the Amplitude
Adjusting the Period of the Curves
Graphing from the Standard Equation
Applying the Sine and Cosine Curves to Life
Answers to Problems on Graphing Sine and Cosine
Graphing Tangent and Cotangent
Establishing Vertical Asymptotes
Graphing Tangent and Cotangent
Altering the Basic Curves
Answers to Problems on Graphing Tangent and Cotangent
Graphing Cosecant, Secant, and Inverse Trig Functions
Determining the Vertical Asymptotes
Graphing Cosecant and Secant
Making Changes to the Graphs of Cosecant and Secant
Analyzing the Graphs of the Inverse Trig Functions
Answers to Problems on Cosecant, Secant, and Inverse Trig Functions
Transforming Graphs of Trig Functions
Sliding the Graphs Left or Right
Sliding the Graphs Up or Down
Changing the Steepness
Reflecting on the Situation - Horizontally
Reflecting on Your Position - Vertically
Putting It All Together
Combining Trig Functions with Polynomials
Answers to Problems on Transforming Trig Functions
The Part of Tens
Ten Identities with a Negative Attitude
Negative Angle Identities
Complementing and Supplementing Identities
Doing Fancy Factoring with Identities
Ten Formulas to Use in a Circle
Running Around in Circles
Adding Up the Area
Defeating an Arc Rival
Sectioning Off the Sector
Striking a Chord
Ringing True
Inscribing and Radii
Circumscribing and Radii
Righting a Triangle
Inscribing a Polygon
Ten Ways to Relate the Sides and Angles of Any Triangle
Relating with the Law of Sines
Hatching a Little Heron
Summing Sines
You Half It or You Don't
Cozying Up with Cosines
Angling for an Angle
Mixing It Up with Cosines
Heron Again, Gone Tomorrow
Divide and Conquer with the Tangent
Heron Lies the Problem
Trig Functions Table
Index

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