The bottom window displays \(f(t) = \sin(t)\) in red and \(g(t) = A \sin(\omega t - \phi)\) in yellow. The top window displays their sum, in green.

Grab the \([\omega], [A],\) or \([\phi]\) slider to vary the circular frequency \(\omega\), the amplitude \(A\), or the phase lag \(\phi\).

Position the cursor arrow over the top graphing window to will be displayed.

The [Zoom] key toggles between a \(t\) range of \([0,20\pi]\) and \([0,60\pi]\).

The [Envelope] key toggles display of an envelope for the sum. An equation for this curve, and its derivation, can be found in the Supplementary Notes.

© 2001 H. Hohn and H. Miller