MathematicsPreCalculus Mathematics at Nebraska

Periodic Functions

• Definitions
• Examples
• More Examples

The Unit Circle

• Measuring Angles
• Coordinates on the Unit Circle
• Examples

The Sine and Cosine Functions

• Definitions and Tools
• Computations
• Examples
• Graphs

The Tangent Function

• Tangent Function
• The Graph of the Tangent Function
• Examples

Inverse Trigonometric Functions

• Definitions and Tools
• Examples with Sine and Cosine
• Examples with Tangent
• Applications

Transformations of Functions

• Transformations of Functions
• Examples with Cosine and Tangent

Generalized Sinusoidal Functions

• Generalized Sinusoidal Functions
• Examples Given Equation
• Examples Writing Equations

Solving Basic Trigonometric Equations

• A Graphical Approach
• Examples with Sine and Cosine
• Examples with Tangent

Solving Generalized Equations

• Solving Generalized Trig Equations

Applications of Solving Equations

• Finding Solutions to Trig Equations on Intervals
• Additional Examples
• An Application Problem

The Laws of Sines and Cosines

• Introduction
• Examples with Law of Sines
• Examples with Law of Cosines

Introduction to Trigonometric Identities

• Proving Trig Identities
• Proving New Identities with Old Identites
• Solving Trig Equations Using Identities

Half-Angle and Angle Sum and Difference Identities

• Introduction
• Using Half-Angle Identities
• Using the Angle Sum Identities

Polar Coordinates

• Introduction
• Plotting Points, Converting
• Describing Curves and Regions

Arc Length

• Introduction to Arc Length
• Examples

Complex Numbers

• The Fundamentals
• Arithmetic
• Graphing and Polar Form
• Applications of Polar Form

Conic Sections

• Conic Sections
• Examlpes with Ellipses

Parametric Equations

• Parametric Equations
• Examples