Table of Contents
Chapter P – PREREQUISITES
- P.1 Review of Real Numbers and Their Properties
- P.2 Solving Equations
- P.3 The Cartesian Plane and Graphs of Equations
- P.4 Linear Equations in Two Variables
- P.5 Functions
- P.6 Analyzing Graphs of Functions
- P.7 A Library of Parent Functions
- P.8 Transformations of Functions
- P.9 Combinations of Functions: Composite Functions
- P.10 Inverse Functions
Chapter 1 – TRIGONOMETRY
- 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-to-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 – EXPONENTIAL AND LOGARITHMIC FUNCTIONS
- 5.1 Exponential Functions and Their Graphs
- 5.2 Logarithmic Functions and Their Graphs
- 5.3 Properties of Logarithms
- 5.4 Exponential and Logarithmic Equations
- 5.5 Exponential and Logarithmic Models
Chapter 6 – TOPICS IN ANALYTIC GEOMETRY
- 6.1 Lines
- 6.2 Introduction to Conics: Parabolas
- 6.3 Ellipses
- 6.4 Hyperbolas
- 6.5 Rotation of Conics
- 6.6 Parametric Equations
- 6.7 Polar Coordinates
- 6.8 Graphs of Polar Equations
- 6.9 Polar Equations of Conics
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