ABSTRACT
The basis of a Fourier series is that all functions of practical significance which are defined in the interval π x π can be expressed in terms of a convergent trigonometric series of the form:
f(x) a 0 a 1 cos x a 2 cos 2x a 3 cos 3x … . b 1 sin x b 2 sin 2x b 3 sin 3x ..
when a 0 , a 1 , a 2 , … b 1 , b 2 , … are real constants, i.e.
