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how to find An and Bn? please show all the works,thanks. Consider the periodic t

ID: 2970451 • Letter: H

Question

how to find An and Bn?

please show all the works,thanks.

Consider the periodic triangular wave shown above. It is a periodic function y(x) = y(x + L), and can therefore be represented by a Fourier series of the form Determine the Fourier coefficients an and bn. For the necessary integral formulae for an and bn, please refer to Tutorial 7 on the course website. Use symmetry wherever possible to simplify your calculation. You may find the following integrals useful: x sin x dx = sin x - x cos x , x cos x dx = cos x + x sin x

Explanation / Answer

Here P=L , x0=0, y(x)=(1/L)*x for x=0 to 0.5L and y=1-(1/L)*x for x=0.5L to L