Module 4: Graphs of Trigonometric Functions
Graph sine, cosine, tangent, cotangent, secant, and cosecant with transformations.
Learning Objectives
By the end of this module, you will be able to:
- Graph y = A sin(Bx − C) + D and y = A cos(Bx − C) + D identifying amplitude, period, phase shift, and vertical shift
- Graph tangent and cotangent functions with their asymptotes
- Graph secant and cosecant using their reciprocal relationships
- Apply transformations to create accurate sketches of all six trig functions
Module Lessons
1
Graphing Sine and Cosine: Amplitude and Period
Understand the basic shapes of sine and cosine, and how A and B affect amplitude and period.
35-40 minutes
2
Phase Shift, Vertical Shift, and Transformations
Learn how C and D shift the graph horizontally and vertically.
35-40 minutes
3
Graphing Tangent and Cotangent
Graph tan and cot with their vertical asymptotes and period of π.
30-35 minutes
4
Graphing Secant and Cosecant
Graph sec and csc using the reciprocal relationship with cos and sin.
30-35 minutes