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This is the 5th edition with a publication date of 12/2/2003.
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This book provides readers with a solid understanding of the definitions and principles of trigonometry and their application to problem solving. Identities are introduced early in Chapter 1. They are reviewed often and are then covered in more detail in Chapter 5. Also, exact values of the trigonometric functions are emphasized throughout the book. There are numerous calculator notes placed throughout the book.
Table of Contents
|1. THE SIX TRIGONOMETRIC FUNCTIONS|
|Angles, Degrees, and Special Triangles|
|The Rectangular Coordinate System|
|Definition I: Trigonometric Functions|
|Introduction to Identities|
|More on Identities|
|2. RIGHT TRIANGLE TRIGONOMETRY|
|Definition II: Right Triangle Trigonometry|
|Calculators and Trigonometric Functions of an Acute Angle|
|Solving Right Triangles|
|Vectors: A Geometric Approach|
|3. RADIAN MEASURE|
|Radians and Degrees|
|Definition III: Circular Functions|
|Arc Length and Area of a Sector|
|4. GRAPHING AND INVERSE FUNCTIONS|
|Basic Graphs and Amplitude|
|Period, Reflection, and Vertical Translation|
|Finding an Equation from Its Graph|
|Graphing Combinations of Functions|
|Inverse Trigonometric Functions|
|5.IDENTITIES AND FORMULAS|
|Sum and Difference Formulas|
|Solving Trigonometric Equations|
|More on Trigonometric Equations|
|Trigonometric Equations Involving Multiple Angles|
|Parametric Equations and Further Graphing|
|The Law of Sines|
|The Ambiguous Case|
|The Law of Cosines|
|The Area of a Triangle|
|Vectors: An Algebraic Approach|
|Vectors: The Dot Product|
|8. COMPLEX NUMBERS AND POLAR COORDINATES|
|Trigonometric Form for Complex Numbers|
|Products and Quotients in Trigonometric Form|
|Roots of a Complex Number|
|Equations in Polar Coordinates and Their Graphs|
|Appendix A: Review of Functions|
|Introduction to Functions|
|The Inverse of a Function|
|Appendix B: Exponential and Logarithmic Functions|
|Logarithms Are Exponents|
|Properties of Logarithms|
|Common Logarithms and Natural Logarithms|
|Exponential Equations and Change of Base|
|Answers to Odd Numbered Exercises and Chapter Tests|