Graphs of Trigonometric Functions

Understanding the graphs of trigonometric functions helps visualize their behavior, including periodicity, amplitude, and transformations.

Graph of

Key Points on the Graph

• (maximum)
• (minimum)

Graph of

Key Points on the Graph

• (maximum)
• (minimum)

Graph of

Amplitude, Period, and Phase Shift

Example: Graphing Transformations

Graph of Reciprocal Functions

Practice Problems

1. Find the amplitude, period, and phase shift of .
2. Sketch one period of .
3. Determine the domain and range of .
4. For what values of in is ?