Trigonometry For Dummies, 3rd Edition

https://faroutpodcast.com/ux9ugbj8 Cover Title Page Copyright Introduction About This Book Foolish Assumptions Icons Used in This Book Beyond the Book Where to Go from Here Part 1: Getting Started with Trigonometry Chapter 1: Taking On Trig Technicalities Taking Trig for a Ride: What Trig Is Understanding Trig Speak Equating and Identifying Finding Trig Applications in the Basics Chapter 2: Cooperating with Cartesian Coordinates Starting Out Simple: Plotting Points From Here to There: Calculating Distances Getting to the Center of It All Racing Down the Slope Defining Circles with Numbers Circling Around with Applications Chapter 3: Finding Degrees in Triangles and Planes Angles, Angles Everywhere: Measuring in Degrees Graphing Angles in Standard Position What’s Your Angle? Labeling in Various Ways Making Degrees Work for You Chapter 4: Dishing Out the Pi: Radians What’s in a Radian? Making a Clone of Arc Chapter 5: Tackling Right Triangles Sizing Up Right Triangles Demystifying the Pythagorean Theorem In a League of Their Own: Special Right Triangles Getting the Applications Right Part 2: Trigonometric Functions Chapter 6: Describing Trig Functions Discovering How Trig Functions Work Taking It a Step Further: Reciprocal Functions Angling In on Your Favorites Building a Shorter Route Chapter 7: Relating Triangles to Circular Functions Getting Acquainted with the Unit Circle Going Full Circle with the Angles Navigating with Circular Measures Chapter 8: Taking Trig Functions Global Defining Trig Functions for All Angles Using Coordinates of Circles to Solve for Trig Functions Defining Domains and Ranges of Trig Functions Applying the Trig Functions Chapter 9: Applying Yourself to Trig Functions First Things First: Elevating and Depressing Measuring Tall Buildings with a Single Bound Measuring Slope The Sky’s (Not) the Limit Calculating Odd Shapes and Maneuvering Corners Part 3: Identities Chapter 10: Introducing Basic Identities Flipping Functions on Their Backs: Reciprocal Identities Function to Function: Ratio Identities Opposites Attract: Opposite-Angle Identities Revisiting the Classic Theorem: Pythagorean Identities Combining the Identities Chapter 11: Operating on Identities Summing It Up Overcoming the Differences Doubling Your Money Halving Fun Yet? Comparing Exact Values and Estimations Chapter 12: Proving Identities: The Basics Lining Up the Players Picking Sides Working on Both Sides Going Back to Square One Chapter 13: Sleuthing Out Identity Solutions Fracturing Fractions Using Tricks of the Trig Trade Identifying with the Operations Applying the Magic of Trigonometry Part 4: Equations and Applications Chapter 14: Investigating Inverse Trig Functions Writing It Right Determining Domain and Range of Inverse Trig Functions Chapter 15: Making Inverse Trig Work for You Working with Inverses Getting Friendly with Your Calculator Multiplying the Input Solving Some Mixed Problems Finding an Unknown Angle Chapter 16: Solving Trig Equations Generating Simple Solutions Factoring In the Solutions Using the Quadratic Formula Incorporating Identities Finding Multiple-Angle Solutions Squaring Both Sides Multiplying Through Solving with a Graphing Calculator Chapter 17: Obeying the Laws and Applying Them Describing the Parts of Triangles Following the Law of Sines Continuing with the Law of Cosines Finding the Areas of Triangles Part 5: The Graphs of Trig Functions Chapter 18: Graphing Sine and Cosine The ABCs of Graphing Waving at the Sine Graphing Cosine Applying the Sines of the Times Chapter 19: Graphing Tangent and Cotangent Checking Out Tangent Confronting the Cotangent Chapter 20: Graphing Two More Trig Functions Seeing the Cosecant for What It Is Unveiling the Secant Laying Out the Inverse Functions Chapter 21: Topping Off Trig Graphs The Basics of Trig Equations Graphing with the General Form Adding and Subtracting Functions Applying Yourself to the Task Part 6: The Part of Tens Chapter 22: Ten Basic Identities … Plus Some Bonuses Reciprocal Identities Ratio Identities Pythagorean Identity Plus Opposite-Angle Identities Multiple-Angle Identities Chapter 23: Ten Not-So-Basic Identities Product-to-Sum Identities Sum-to-Product Identities Reduction Formula Mollweide’s Equations Appendix: Graphs and Function Values The Six Basic Trigonometric Functions and Their Graphs Trig Values of the Most Commonly Used Functions Trig Values of the Most Commonly Used Functions (Continued) Calculator Usage Index About the Author Connect with Dummies End User License Agreement