Module 2: The Unit Circle & Right Triangle Trigonometry
Define the trig functions using the unit circle, evaluate them at special angles, and solve right triangles.
Learning Objectives
By the end of this module, you will be able to:
- Define sine and cosine using the unit circle
- Evaluate trig functions at special angles (0, π/6, π/4, π/3, π/2) and their multiples
- Apply right triangle definitions (SOH-CAH-TOA) to find sides and angles
- Solve right triangles and real-world application problems
Module Lessons
1
Defining Sine and Cosine on the Unit Circle
Learn how the unit circle provides a geometric definition for sine and cosine for any angle.
30-35 minutes
2
Evaluating Trig Functions at Special Angles
Memorize and apply the trig values at key angles using the unit circle.
35-40 minutes
3
Right Triangle Definitions of Trig Functions
Define all six trig functions using the sides of a right triangle (SOH-CAH-TOA).
25-30 minutes
4
Solving Right Triangles and Applications
Use trig functions to find missing sides and angles; apply to elevation, depression, and navigation problems.
30-35 minutes
After the Lessons
Practice Problems
10 problems covering the unit circle, special angles, and right triangle applications.
Practice ProblemsModule Quiz
10-question quiz to test your mastery of unit circle and right triangle trig.
Take Module Quiz