Table of Contents
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.
