Example 1 Compute the Fourier sine and cosine transforms of f(x) = e¯c.
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- Find the Fourier Transforms of the indicated function:f (x) = cos x e−x^2/2Show that d(w) ==}6(w − 1) +5(w+1)] is the Fourier transform of cos(t). - Show that d(w) = −ix[8(w − 1) − 8(w+1)] is the Fourier transform of sin(t).f *g=g * f , where (*) is the convolution in Fourier transform. Select one: True False