A sine has a phase of 0 at t = 0 and a cosine has a phase of p/2 at t = 0.

The applet below shows how a cosine (green) and a sine (red) are affected as their phases are changed.

When their phases are advanced by 90°, the sine becomes a cosine and the cosine becomes a negative sine. Equivalent to differentiating.

When their phases are delayed by 90°, the sine becomes a negative cosine and the cosine becomes a sine. Equivalent to integrating.

The applet below shows how a cosine (green) and a sine (red) are affected as they are time shifted.

When they are advanced by 0.25T, the sine becomes a cosine and the cosine becomes a negative sine. Equivalent to differentiating.

When they are delayed by 0.25T, the sine becomes a negative cosine and the cosine becomes a sine. Equivalent to integrating.

When activated the following gif image show how the applet should appear.

COPYRIGHT © 2007 Cuthbert Nyack.