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Chapter 1 The Six Trigonometric Functions 1.1 Angles, Degrees, and Special Triangles 1.2 The Rectangular Coordinate System 1.3 Definition I: Trigonometric Functions 1.4 Introduction to Identities 1.5 More on Identities Chapter 2 Right Triangle Trigonometry 2.1 Definition II: Right Triangle Trigonometry 2.2 Calculators and Trigonometric Functions of an Acute Angle 2.3 Solving Right Triangles 2.4 Applications 2.5 Vectors: A Geometric Approach Chapter 3 Radian Measure 3.1 Reference Angle 3.2 Radians and Degrees 3.3 Definition III: Circular Functions 3.4 Arc Length and Area of a Sector 3.5 Velocities Chapter 4 Graphing and Inverse Functions 4.1 Basic Graphs 4.2 Amplitude and Period 4.3 Phase Shift 4.4 Finding an Equation from its Graph 4.5 Graphing Combinations of Functions 4.6 Inverse Trigonometric Functions Chapter 5 Identities and Formulas 5.1 Identities and Formulas 5.2 Sum and Difference Formulas 5.3 Double-Angle Formulas 5.4 Half-Angle Formulas 5.5 Additional Identities Chapter 6 Equations 6.1 Solving Trigonometric Equations 6.2 More on Trigonometric Equations 6.3 Trigonometric Equations Involving Multiple Angles 6.4 Parametric Equations and Further Graphing Chapter 7 Triangles 7.1 The Law of Sines 7.2 The Ambiguous Case 7.3 The Law of Cosines 7.4 The Area of a Triangle 7.5 Vectors: An Algebraic Approach Chapter 8 Complex Numbers and Polar Coordinates 8.1 Complex Numbers 8.2 Trigonometric Form for Complex Numbers 8.3 Products and Quotients in Trigonometric Form 8.4 Roots of a Complex Number 8.5 Polar Coordinates 8.6 Equations in Polar Coordinates and Their Graphs Appendix: Logarithms A.1 Logarithms Are Exponents A.2 Properties of Logarithms A.3 Common Logarithms and Natural Logarithms A.4 Exponential Equations and Change of Base Each chapter ends with a Summary and Test Answers to odd-numbered problems and chapter testsIndextextbooks | cd roms | videos | research projects
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