The following provides an outline of all the topics you would expect to see in a typical **Precalculus with Limits** class (i.e., Trigonometry and Math Analysis).

All of the topics are covered in detail in our Online Precalculus Course. The course contains full lectures and detailed examples for everything you will see in Precalculus.

The following sections provide links to our complete lessons on all Precalculus topics, starting with Trigonometry and progressing through Math Analysis.

## Trigonometric Functions

- Interval Notation
- Coterminal Angles
- Reference Triangles
- Reference Angles
- Cofunctions
- Degrees Minutes Seconds
- Angles of Elevation and Depression
- Applications of Right Triangles

## Graphing Trig Functions

- Graphing Sine and Cosine
- Graphing Sine and Cosine with Period Change
- Graphing Sine and Cosine with Phase Shift
- Graphing Reciprocal Trig Functions

## Radian Measure

- Degrees to Radians
- Arc Length Formula
- Unit Circle
- Angular and Linear Velocity

## Trig Identities

- Fundamental Trigonometric Identities
- Steps for Verifying Trig Identities
- Proving Trig Identities
- Sum and Difference Identities
- Double Angle Identities
- Half Angle Identities
- Product-Sum Identities

## Trig Equations

- Inverse Functions
- Inverse Trig Functions
- Solving Trigonometric Equations
- Solving Trig Equations Using Inverses

## Law of Sines and Cosines

- Law of Sines
- Law of Sines – Ambiguous Case
- Law of Cosines
- Heron’s Formula

## Vector Applications

- What is a Vector?
- Displacement Vector
- Force Vector
- Velocity Vector

## Polar Equations and Graphs

- Polar Coordinates
- Graphing Polar Equations

## Complex Numbers

- Complex Numbers in Standard Form
- Complex Numbers in Polar Form
- De Moivre’s Theorem – Powers and Roots of Complex Numbers