Question

Find the finite fourier cosine transform of f(x)=sinax in (0,π)

Answer 1

Step-by-step explanation:

Find the Fourier Cosine Transform of the function f(x) given by

f(x)={1,0,0<x<ax>a

Hence find the FCT (Fourier Cosine Transform) of sin(ax)x

FCT:

Fc(f(x))=2π−−√∫∞0f(x)cos(sx)dx=Fc(s)

I need to find the FCT using the piecewise material. Any help appreciated

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