Trigonometry: A Unit Circle Approach, 12th edition

1. Graphs and Functions

• 1.1 The Distance and Midpoint Formulas
• 1.2 Graphs of Equations in Two Variables; Circles
• 1.3 Functions and Their Graphs
• 1.4 Properties of Functions
• 1.5 Library of Functions; Piecewise-defined Functions
• 1.6 Graphing Techniques: Transformations
• 1.7 One-to-One Functions; Inverse Functions
• Chapter 1 Review, Test, and Projects

2. Trigonometric Functions

• 2.1 Angles, Arc, Length, and Circular Motion
• 2.2 Trigonometric Functions: Unit Circle Approach
• 2.3 Properties of the Trigonometric Functions
• 2.4 Graphs of the Sine and Cosine Functions
• 2.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
• 2.6 Phase Shift; Sinusoidal Curve Fitting
• Chapter 2 Review, Test, and Projects

3. Analytic Trigonometry

• 3.1 The Inverse Sine, Cosine, and Tangent Functions
• 3.2 The Inverse Trigonometric Functions (Continued)
• 3.3 Trigonometric Equations
• 3.4 Trigonometric Identities
• 3.5 Sum and Difference Formulas
• 3.6 Double-angle and Half-angle Formulas
• 3.7 Product-to-Sum and Sum-to-Product Formulas
• Chapter 3 Review, Test, and Projects

4. Applications of Trigonometric Functions

• 4.1 Right Triangle Trigonometry; Applications
• 4.2 The Law of Sines
• 4.3 The Law of Cosines
• 4.4 Area of a Triangle
• 4.5 Simple Harmonic Motion; Damped Motion; Combining Waves
• Chapter 4 Review, Test, and Projects

5. Polar Coordinates; Vectors

• 5.1 Polar Coordinates
• 5.2 Polar Equations and Graphs
• 5.3 The Complex Plane; De Moivre's Theorem
• 5.4 Vectors
• 5.5 The Dot Product
• 5.6 Vectors in Space
• 5.7 The Cross Produc
• Chapter 5 Review, Test, and Projects

6. Analytic Geometry

• 6.1 Conics
• 6.2 The Parabola
• 6.3 The Ellipse
• 6.4 The Hyperbola
• 6.5 Rotation of Axes; General Form of a Conic
• 6.6 Polar Equations of Conics
• 6.7 Plane Curves and Parametric Equations
• Chapter 6 Review, Test, and Projects

7. Exponential and Logarithmic Functions

• 7.1 Exponential Functions
• 7.2 Logarithmic Functions
• 7.3 Properties of Logarithms
• 7.4 Logarithmic and Exponential Equations
• 7.5 Financial Models
• 7.6 Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay
• 7.7 Building Exponential, Logarithmic, and Logistic Models from Data
• Chapter 7 Review, Test, and Projects

Appendix A: Review

• A.1 Algebra Essentials
• A.2 Geometry Essentials
• A.3 Factoring Polynomials; Completing the Square
• A.4 Solving Equations
• A.5 Complex Numbers; Quadratic Equations in the Complex Number System
• A.6 Interval Notation; Solving Inequalities
• A.7 nth Roots; Rational Exponents
• A.8 Lines

Appendix B: Graphing Utilities

• B.1 The Viewing Rectangle
• B.2 Using a Graphing Utility to Graph Equations
• B.3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry
• B.4 Using a Graphing Utility to Solve Equations
• B.5 Square Screens
• B.6 Using a Graphing Utility to Graph Inequalities
• B.7 Using a Graphing Utility to Solve Systems of Linear Equations
• B.8 Using a Graphing Utility to Graph a Polar Equation
• B.9 Using a Graphing Utility to Graph Parametric Equations