$ X(w) = \frac{2sin{3(w-2\pi)}}{w-2\pi}\, $
We already knew that when $ X(t) = \frac{sinWt}{\pi t}, X(w) = 1 for |w|<W. \, $
$ when X(t) = x(t-t_0), X(w) = e^{-jwt_0}X(jw) $
W is 3 , and this was delayed $ 2\pi\, $
$ X(w) = \frac{2sin{3(w-2\pi)}}{w-2\pi}\, $
We already knew that when $ X(t) = \frac{sinWt}{\pi t}, X(w) = 1 for |w|<W. \, $
$ when X(t) = x(t-t_0), X(w) = e^{-jwt_0}X(jw) $
W is 3 , and this was delayed $ 2\pi\, $