Often while studying circular functions it is useful to model how the graphs of these functions change as their

amplitude (A), vertical displacement (D), horizontal displacement (C) , and period (2

p/B) are modified.

The

first EXCEL sheet shown above can be modified manually by entering values into the highlighted yellow column. Those changes are automatically updated on the blue

graph and reflected in the rebuilt

equation shown below. This spreadsheet's

operation does not require the enabling of macros.

To

run the

second EXCEL sheet you have to enable the use of macros to operate the sliders. The range for each slider has been optimized for supporting the spreadsheet's programming.

Information about circular functions can be located in the following lessons:

- Graphs of Sine and Cosine Functions
- Vertical Shifts in the Graphs of Sine and Cosine