#### Trigonometry: Course Outline

**Unit 1** – Prerequisites

- Real Numbers and Their Properties
- Solving Equations
- The Cartesian Plane and Graphs of Equations
- Linear Equations in Two Variables
- Functions
- Analyzing Graphs of Functions
- A Library of Parent Functions
- Transformations of Functions
- Combinations of Functions
- Inverse Functions

**Chapter 1** – Trigonometry

- Radian and Degree Measure
- Trigonometric Functions: The Unit Circle
- Right Triangle Trigonometry
- Trigonometric Functions of Any Angle
- Graphs of Sine and Cosine Functions
- Graphs of Other Trigonometric Functions
- Inverse Trigonometric Functions
- Applications and Models

**Chapter 2** – Analytical Trigonometry

- Using Fundamental Identities
- Verifying Trigonometric Identities
- Solving Trigonometric Equations
- Sum and Difference Formulas
- Multiple-Angle and Product-to-Sum Formulas

**Chapter 3** – Additional Topics in Trigonometry

- Law of Sines
- Law of Cosines
- Vectors in the Plane
- Vectors and Dot Products

**Chapter 4** – Complex Numbers

- Complex Numbers
- Complex Solutions of Equations
- Trigonometric Form of a Complex Number
- DeMoivre’s Theorem

**Chapter 5** – Exponential and Logarithmic Functions

- Exponential Functions and Their Graphs
- Logarithmic Functions and Their Graphs
- Properties of Logarithms
- Exponential and Logarithmic Equations
- Exponential and Logarithmic Models

**Chapter 6** – Topics in Analytical Geometry

- Lines
- Introduction to Conics
- Ellipses
- Hyperbolas
- Rotation of Conics
- Parametric Equations
- Polar Coordinates
- Graphs and Polar Equations
- Polar Equations and Conics

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