Higher Engineering Mathematics

TRIGONOMETRIC WAVEFORMS 161

B

Figure 15.31

Figure 15.32

shown. If the negative half-cycle in Fig. 15.32 is
reversed it can be seen that the shape of the positive
and negative half-cycles are identical.
Problems 17 and 18 demonstrate that when-
ever odd harmonics are added to a fundamental

waveform, whether initially in phase with each other

or not, the positive and negative half-cycles of the

resultant complex wave are identical in shape. This

is a feature of waveforms containing a fundamental

and odd harmonics.