CHAPTER 1 Right Triangle Trigonometry 1.1 Angles, Degrees and Triangles 1.2 Similar Triangles 1.3 Definition 1 of Trigonometric Functions: Right Triangle Ratios 1.4 Evaluating Trigonometric Functions: Exactly and with Calculators 1.5 Solving Right Triangles CHAPTER 2 Trigonometric Functions 2.1 Angles in the Cartesian Plane 2.2 Definition 2 of Trigonometric Functions: Cartesian Plane 2.3 Trigonometric Functions of Non-Acute Angles 2.4 Basic Trigonometric Identities CHAPTER 3 Radian Measure and Circular Functions 3.1 Radian Measure 3.2 Arc Length and Area of a Circular Sector 3.3 Linear and Angular Velocities 3.4 Definition 3 of Trigonometric Functions: Circular Functions CHAPTER 4 Graphing Trigonometric Functions 4.1 Basic Graphs of Sine and Cosine Functions: Amplitude and Period 4.2 Translations of the Sine and Cosine functions: Phase shift 4.3 Graphs of Tangent, Cotangent, Cosecant, and Secant Functions CHAPTER 5 Trigonometric Identities 5.1 Fundamental Identities 5.2 Verifying Trigonometric Identities 5.3 Sum and Difference Identities 5.4 Double and Half Angle Identities 5.5 Product and Sum Identities CHAPTER 6 Solving Trigonometric Equations 6.1 Inverse Trigonometric Functions 6.2 Solving Basic Trigonometric Equations 6.3 Solving More Complicated Trigonometric Equations CHAPTER 7 Applications of Trigonometric Functions and Vectors 7.1 The Law of Sines 7.2 The Law of Cosines 7.3 Area of a Triangle 7.4 Vectors 7.5 Dot Product CHAPTER 8 Complex Numbers, Polar Coordinates, and Parametric Equations 8.1 Complex Numbers 8.2 Trigonometric (Polar) Form of Complex Numbers 8.3 Products, Quotients, Powers and Roots of Complex Numbers 8.4 Polar Equations and Graphs 8.5 Parametric Equations and Graphs APPENDIX Algebraic Prerequisites and Review A.1 Cartesian Plane A.2 Graphing Equations: Point Plotting and Symmetry A.3 Functions A.4 Graphs of Functions: Common Functions, Transformations, and Symmetry A.5 Operation on Functions and Composition of Functions A.6 One-to-One Functions and Inverse Functions
