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• Chapter P  Prerequisites

P.1 Real Numbers

P.2 The Cartesian Plane and Graphs of Equations

P.3 Solving Equations Algebraically and Graphically

P.4 Lines in the Plane

P.5 Functions

P.6 Graphs of Functions

P.7 Shifting, Reflecting, and Stretching Graphs

P.8 Combinations of Functions

P.9 Inverse Functions

• Chapter 1 Trigonometric Functions

1.1 Radian and Degree Measure

1.2 Trigonometric Functions: The Unit Circle

1.3 Right Triangle Trigonometry

1.4 Trigonometric Functions of Any Angle

1.5 Graphs of Sine and Cosine Functions

1.6 Graphs of Other Trigonometric Functions

1.7 Inverse Trigonometric Functions

1.8 Applications and Models

• Chapter 2 Analytic Trigonometry

2.1 Using Fundamental Identities

2.2 Verifying Trigonometric Identities

2.3 Solving Trigonometric Equations

2.4 Sum and Difference Formulas

2.5 Multiple-Angle and Product-Sum Formulas

• Chapter 3 Additional Topics in Trigonometry

3.1 Law of Sines

3.2 Law of Cosines

3.3 Vectors in the Plane

3.4 Vectors and Dot Products

• Chapter 4 Complex Numbers

4.1 Complex Numbers

4.2 Complex Solutions of Equations

4.3 Trigonometric Form of a Complex Number

4.4 DeMoivre's Theorem

• Chapter 5 Analytic Geometry: Conics

5.1 Introduction to Conics: Parabolas

5.2 Ellipses

5.3 Hyperbolas

5.4 Rotation of Conics

• Chapter 6 Topics in Analytic Geometry

6.1 Parametric Equations

6.2 Polar Coordinates

6.3 Graphs of Polar Equations

6.4 Polar Equations of Conics

6.5 The Three-Dimensional Coordinate System

6.6 Vectors in Space

6.7 The Cross Product of Two Vectors

• Chapter 7 Exponential and Logarithmic Functions Course Number

7.1 Exponential Functions and Their Graphs

7.2 Logarithmic Functions and Their Graphs

7.3 Properties of Logarithms

7.4 Solving Exponential and Logarithmic Equations

7.5 Exponential and Logarithmic Models