Assignment:
In a later, it is useful to find the Fourier coefficients of sums of sinusoids by inspection. This involves first finding the fundmental period p of the sum, or equivalently finding the fundamental w0. All the radian frequencies in the sum must be integer multiples of this w0. For example, suppose that some radian frequency is such that w = 3w0. The sine or cosine at this frequency is then associated with index n. = 3 in the Fourier series summation.
Find the first 7 Fourier coefficients {ao, al, b1, a2, b2, a3, 63} of the function.f (ex) = 14 - cos(Kx/10) + 3 sin(7rx/10) + 0.5 cos(7rx/5) + 5 sin(37rx/10) by inspection. Note that some will be zero.
Hint: to, = 0.17r.