TRIGONOMETRIC IDENTITY

The bottom left graphing window shows a graph of $$a \cos(\omega t)$$ in yellow and a graph of $$b \sin(\omega t)$$ in cyan. The top left window shows a graph of the sum of these two functions in green, and a graph of $$A \cos(\omega t - \phi)$$ in red.

Grab the $$[a], [b], [A], [\phi],$$ and $$[\omega]$$ sliders to set these parameters.

Control the display at right by means of the checkboxes below it, labeled $$[a,b]$$ and $$[A,\phi]$$.

© 2001 H. Hohn and H. Miller