A plain-English guide to the basics of trig Trigonometry deals with the relationship between the sides and angles of triangles... mostly right triangles. In practical use, trigonometry is a friend to astronomers who use triangulation to measure the distance between stars. Trig also has applications in fields as broad as financial analysis, music theory, biology, medical imaging, cryptology, game development, and seismology. From sines and cosines to logarithms, conic sections, and polynomials, this friendly guide takes the torture out of trigonometry, explaining basic concepts in plain English and offering lots of easy-to-grasp example problems. It also explains the "why" of trigonometry, using real-world examples that illustrate the value of trigonometry in a variety of careers. Tracks to a typical Trigonometry course at the high school or college level Packed with example trig problems From the author of Trigonometry Workbook For Dummies Trigonometry For Dummies is for any student who needs an introduction to, or better understanding of, high-school to college-level trigonometry. The EPUB format of this title may not be compatible for use on all handheld devices Title Page Copyright Page Contents at a Glance Table of Contents Introduction About This Book Foolish Assumptions Icons Used in This Book Beyond the Book Where to Go from Here Part I: Getting Started with Trigonometry Chapter 1: Trouncing Trig Technicalities. Taking Trig for a Ride: What Trig Is Understanding Trig Speak Equating and Identifying Graphing for Gold Chapter 2: Coordinating Your Efforts 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 Chapter 3: Functioning Well. Relations versus Functions In-Verse Functions: Rhyme or Reason? Transforming Functions Chapter 4: Getting Your Degree. Angles, Angles Everywhere: Measuring in Degrees Graphing Angles in Standard Position What’s Your Angle? Labeling in Various Ways Chapter 5: Dishing Out the Pi: Radians. What’s in a Radian? Making a Clone of Arc Chapter 6: Getting It Right with Triangles. Sizing Up Right Triangles Pythagoras Schmythagoras: Demystifying the Pythagorean Theorem In a League of Their Own: Special Right Triangles Part II: Trigonometric Functions Chapter 7: Doing Right by Trig Functions. SohCahToa to the Rescue: How Trig Functions Work Taking It a Step Further: Reciprocal Functions Angling In on Your Favorites Chapter 8: Trading Triangles for Circles: Circular Functions. Getting Acquainted with the Unit Circle Going Full Circle with the Angles Chapter 9: Defining Trig Functions Globally. Defining Trig Functions for All Angles Using Coordinates of Circles to Solve for Trig Functions Defining Domains and Ranges of Trig Functions Chapter 10: 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 III: Identities Chapter 11: Identifying 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 12: Operating on Identities. Summing It Up Overcoming the Differences Doubling Your Money Halving Fun Yet? Chapter 13: Proving Identities: The Basics. Lining Up the Players Picking Sides Working on Both Sides Going Back to Square One Chapter 14: Sleuthing Out Identity Solutions. Fracturing Fractions Using Tricks of the Trig Trade Identifying With the Operations Part IV: Equations and Applications Chapter 15: Investigating Inverse Trig Functions. Writing It Right Determining Domain and Range of Inverse Trig Functions Chapter 16: Making Inverse Trig Work for You. Working with Inverses Getting Friendly with Your Calculator Multiplying the Input Solving Some Mixed Problems Chapter 17: 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 18: Obeying the Laws. Describing the Parts of Triangles Following the Law of Sines Continuing with the Law of Cosines Finding the Areas of Triangles Part V: The Graphs of Trig Functions Chapter 19: Graphing Sine and Cosine. The ABCs of Graphing Waving at the Sine Graphing Cosine Applying the Sines of the Times Chapter 20: Graphing Tangent and Cotangent. Checking Out Tangent Confronting the Cotangent Chapter 21: Graphing Other Trig Functions. Seeing the Cosecant for What It Is Unveiling the Secant Laying Out the Inverse Functions Chapter 22: Topping Off Trig Graphs. The Basics of Trig Equations Graphing with the General Form Adding and Subtracting Functions Applying Yourself to the Task Part VI: The Part of Tens Chapter 23: Ten Basic Identities Reciprocal Identities Ratio Identities Pythagorean Identities Opposite-Angle Identities Multiple-Angle Identities Chapter 24: Ten Not-So-Basic Identities. Product-to-Sum Identities Sum-to-Product Identities Reduction Formula Mollweide’s Equations Appendix: Trig Functions Table Index About the Author
A plain-English guide to the basics of trig
Trigonometry deals with the relationship between the sides and angles of triangles... mostly right triangles. In practical use, trigonometry is a friend to astronomers who use triangulation to measure the distance between stars. Trig also has applications in fields as broad as financial analysis, music theory, biology, medical imaging, cryptology, game development, and seismology.
From sines and cosines to logarithms, conic sections, and polynomials, this friendly guide takes the torture out of trigonometry, explaining basic concepts in plain English and offering lots of easy-to-grasp example problems. It also explains the "why" of trigonometry, using real-world examples that illustrate the value of trigonometry in a variety of careers.
- Tracks to a typical Trigonometry course at the high school or college level
- Packed with example trig problems
- From the author of Trigonometry Workbook For Dummies
Trigonometry For Dummies is for any student who needs an introduction to, or better understanding of, high-school to college-level trigonometry.
