$($Problem $3$: $20\%)$

Suppose we are given a signal $f(t)$ :

$,$ and we are told that its Fourier transform is $F()=4sin{c}^2()cos()cos(2)e^{-j3}$ Using ONLY this information, find the Fourier transform of the signal $g(t).$ Hint: Use linearity and shifting properties of the Fourier transform. That is$,f(t)=g(t)+g(t-2).$