Module 3: Trig Functions of Any Angle
Extend trig functions to all angles using reference angles, and master the fundamental trig identities.
Learning Objectives
By the end of this module, you will be able to:
- Evaluate trig functions of any angle using reference angles and the coordinate definition
- Find all six trig functions given one value and the quadrant
- Apply reciprocal, quotient, and Pythagorean identities
- Use even-odd properties and cofunction identities to simplify expressions
Module Lessons
1
Trig Functions of Any Angle Using Reference Angles
Define trig functions using x, y coordinates and the distance r. Evaluate using reference angles in any quadrant.
30-35 minutes
2
Evaluating All Six Trig Functions
Given partial information (one trig value and the quadrant), find all six trig function values.
30-35 minutes
3
Reciprocal, Quotient, and Pythagorean Identities
Learn the fundamental trig identities and use them to simplify and transform expressions.
30-35 minutes
4
Even-Odd Properties and Cofunction Identities
Understand symmetry properties and cofunction relationships for all six trig functions.
25-30 minutes