This tutorial demonstrates how to calculate the addition and subraction of waveforms using Excel. In doing so, we are able to determine the amplitude and phase shift of the resulting waveform by inspection of the graph.
This can also be done manually by calculating instantaneous values of voltage or current and plotting the waveforms on graph paper, however this is much more labour intensive that using Excel, or similar.
Addition and subtraction of waveforms is an easy almost effortless task when you know how to do it in Excel.
Have you heard of any other ways to calculate the addition and subtraction of wave forms? Leave your ideas in the comments.