## Description

### Table of Contents

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