ABSTRACT
Discovering different methods of combining sinusoidal waveforms is of some importance in certain areas of engineering. This chapter aims to determine the resultant of two phasors by the sine and cosine rules and two or more phasors by horizontal and vertical components. There are a number of instances in engineering and science where waveforms have to be combined and where it is required to determine the single phasor (called the resultant) that could replace two or more separate phasors. There are a number of methods of determining the resultant waveform. The resultant of two periodic functions may be found from their relative positions when the time is zero. Sometimes it is necessary when studying sinusoidal quantities to add together two alternating waveforms, for example in an a.c. series circuit that are not in-phase with each other. Uses are found in electrical alternating current theory, in mechanical vibrations, in the addition of forces and with sound waves.
