1. Right Triangle Rations. 1.1 Angles, Degrees, and Arcs. 1.2 Similar Triangles. 1.3 Trigonometric Ratios and Right Triangles. 1.4 Right Triangle Applications. Chapter 1 Group Activity: A Logistics Problem. Chapter 1 Review. 2. Trigonometric Functions. 2.1 Degrees and Radians. 2.2 Linear and Angular Velocity. 2.3 Trigonometric Functions: Unit Circle Approach. 2.4 Additional Applications. 2.5 Exact Values and Properties of Trigonometric Functions. Chapter 2 Group Activity: Speed of Light in Water. Chapter 2 Review. 3. Graphing Trigonometric Functions. 3.1 Basic Graphs. 3.2 Graphing y=k+A sin Bx and y=K+A cos(Bx+C). 3.4 Additional Applications. 3.5 Graphing Combined Forms. 3.6 Tangent, Cotangent, Secant, and Cosecant Functions Revisited. Chapter 3 Group Activity: Predator-Prey Analysis Involving Coyotes and Rabbits. Chapter 3 Review. Cumulative Review Exercise, Chapters 1-3. 4. Identities. 4.1 Fundamental Identities and Their Use. 4.2 Verifying Trigonometric Identities. 4.3 Sum, Difference, and Cofunction Identities. 4.4 Double-Angle and Half-Angle Identities. 4.5 Product-Sum and Sum-Product Identities. Chapter 4 Group Activity: From M sin Bt+N cos Bt to A sin(Bt+C). Chapter 4 Review. 5. Inverse Trigonometric Functions; Trigonometric Equations and Inequalities. 5.1 Inverse Sine, Cosine, and Tangent Functions. 5.2 Inverse Cotangent, Secant, and Cosecant Functions. 5.3 Trigonometric Equations: An Algebraic Approach. 5.4 Trigonometric Equations and Inequalities: A Graphing Calculator Approach. Chapter 5 Group Activity: sin 1/x=0 and Sin-1 1/x=0. Chapter 5 Review. Cumulative Review Exercise, Chapters 1-5. 6. Additional Topics: Triangles and Vectors. 6.1 Law of Sines. 6.2 Law of Cosines. 6.3 Areas of Triangles. 6.4 Vectors: Geometrically Defined. 6.5 Vectors: Algebraically Defined. 6.6 The Dot Product. Chapter 6 Group Activity: The SSA Case and the Law of Cosines. Chapter 6 Review. 7. Polar Coordinates; Complex Numbers. 7.1 Polar and Rectangular Coordinates. 7.2 Sketching Polar Equations. 7.3 The Complex Plane. 7.4 De Moivre's Theorem and the nth-Root Theorem. Chapter 7 Group Activity: Orbits of Planets. Chapter 7 Review. Cumulative Review Exercises, Chapters 1-7. Appendix A Comments on Numbers. A.1 Real Numbers. A.2 Complex Numbers. A.3 Significant Digits. Appendix B Functions and Inverse Functions. B.1 Functions. B.2 Graphs and Transformations. B.3 Inverse Functions. Appendix C Plane Geometry: Some Useful Facts. C.1 Lines and Angles, C.2 Triangles, C.3 Quadrilaterals. C.4 Circles. Selected Answers. Index.
