# Sample Chapter (first three LO's)

## Periodic Functions

### Graphs of Sine and Cosine Functions

Learning Objectives

• Find amplitudes, periods, and any phase shifts (horizontal translations) of given sine or cosine functions

• Use transformations to graph functions involving sine and cosine

• Graph trigonometric functions that have amplitudes other than one (vertically stretched or compressed)

• Graph trigonometric functions that have stretched or compressed periods

• Write equations of graphed trigonometric functions

For users of OpenStax Precalculus by Jay Abramson, Lead Author:

This covers Section 6.1 and read pages 506-522.

### Find amplitudes, periods, and any phase shifts (horizontal translations) of given sine or cosine functions

Lecture Video: Find amplitudes, periods, and any phase shifts (horizontal translations) of given sine or cosine functions

Example Video: (3 videos) Find amplitudes, periods, and any phase shifts (horizontal translations) of given sine or cosine functions

### Use transformations to graph functions involving sine and cosine

Lecture Video: Use transformations to graph functions involving sine and cosine

### Graph trigonometric functions that have amplitudes other than one (vertically stretched or compressed)

Lecture Video: Graph trigonometric functions that have amplitudes other than one (vertically stretched or compressed)

Example Video: Graph trigonometric functions that have amplitudes other than one (vertically stretched or compressed)