Analytic trigonometry with applications, (10^th Ed.)

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.