Since periodic waveform exhibits certain types of symmetry, therefore, knowledge of such symmetry becomes useful to reduce the labour involved in calculation of the Fourier co-efficients. In order to examine the reduction of labour for calculation of Fourier co-efficients, let us consider Eq. (2.3) taking the interval, –T/2 to T/2 instead of 0 to T.
In general, it can be written as
Similarly, it can be written as
A function f(t) is said to be even if