Trigonometry Workbook For Dummies

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What in the world is trigonometry? Well, for starters, trigonometry is in the world, on the world, and above the world — at least its uses are. Trigonometry started out as a practical way of finding out how far things are from one another when you can’t measure them. Ancient mathematicians came up with a measure called an angle, and the rest is history.

So, what’s my angle in this endeavor? (Pardon the pun.) I wanted to write this book because trigonometry just hasn’t gotten enough attention lately. You can’t do much navigating without trigonometry. You can’t build bridges or skyscrapers without trigonometry. Why has it been neglected as of late? It hasn’t been ignored as much as it just hasn’t been the center of attention. And that’s a shame.

Trigonometry is about angles, sure. You can’t do anything without knowing what the different angle measures do to the different trig functions. But trigonometry is also about relationships — just like some of these new reality television shows. Did I get your attention? These relationships are nearly as exciting as those on TV where they decide who gets to stay and who gets to leave. The sine gets to stay and the cosecant has to leave when you know the identities and rules and apply them correctly. Trigonometry allows you to do some pretty neat things with equations and mathematical statements. It’s got the power.

Part I: Trying Out Trig: Starting at the Beginning
Chapter 1: Tackling Technical Trig
Chapter 2: Getting Acquainted with the Graph
Chapter 3: Getting the Third Degree
Chapter 4: Recognizing Radian Measure
Chapter 5: Making Things Right with Right Triangles
Part II: Trigonometric Functions
Chapter 6: Defining Trig Functions with a Right Triangle
Chapter 7: Discussing Properties of the Trig Functions
Chapter 8: Going Full Circle with the Circular Functions
Part III: Trigonometric Identities and Equations
Chapter 9: Identifying the Basic Identities
Chapter 10: Using Identities Defined with Operations
Chapter 11: Techniques for Solving Trig Identities
Chapter 12: Introducing Inverse Trig Functions
Chapter 13: Solving Trig Equations
Chapter 14: Revisiting the Triangle with New Laws
Part IV: Graphing the Trigonometric Functions
Chapter 15: Graphing Sine and Cosine
Chapter 16: Graphing Tangent and Cotangent
Chapter 17: Graphing Cosecant, Secant, and Inverse Trig Functions
Chapter 18: Transforming Graphs of Trig Functions
Part V: The Part of Tens
Chapter 19: Ten Identities with a Negative Attitude
Chapter 20: Ten Formulas to Use in a Circle
Chapter 21: Ten Ways to Relate the Sides and Angles of Any Triangle
Appendix: Trig Functions Table

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"Mary Jane Sterling"

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