a$)$ Given that $x(t)=[1+$Cos$(t)]rect(\frac{t}{2})$

$x(j)=$Sinc$()\frac{{}^2}{{}^2-{}^2}$

Find the Fourier transform of $y(t)=-Sin(t)rect(\frac{t}{2})$

b$)x(t)=6$Cos$(6t)+2$Sin$(8t)$ and $h(t)=2$Sinc$(8t)$ find $y(t)$

c$)$ find the trigonometric Fourier series coefficients of the signal below

$x(t)=(2+2j)e^{-jt}-3j{e}^{-j2t}+5+3j{e}^{j2t}+(2-2j)e^{j5t}$