then prove that i) F, [ƒ (x) cos ax] = [f, (p + a) +f, (p a)] 1 ii) F.[f(x) sin ax] 2 [f. (p + a) – f, (p - a)] iii) F, [f(x) sin ax] [S. (p – a) -f. (p + a)]

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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14. Iff. (p) and f. (p) are the Fourier Sine and Cosine transforms of f (x) respectively,
then prove
that i) F, [f(x) cos ax] =[f, (p + a) +f, (p – a)}
%3D
|
ii) F_[f(x) sin ax]=[6(p+a) -f, ( -- a)]
iii) F, [f(x) sin ax]:
=[f. (p – a) -f. (p + a)]
Transcribed Image Text:14. Iff. (p) and f. (p) are the Fourier Sine and Cosine transforms of f (x) respectively, then prove that i) F, [f(x) cos ax] =[f, (p + a) +f, (p – a)} %3D | ii) F_[f(x) sin ax]=[6(p+a) -f, ( -- a)] iii) F, [f(x) sin ax]: =[f. (p – a) -f. (p + a)]
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