P$-3\mathrm{.}8$ Consider the signal x$($t$)=10+20$cos$(2$pi$(100)$t$+1/4*$pi$)+10$cos$(2$pi$(250)$t$)$ a$.$ Using Euler's relation the signal x$($t$)$ defined above can be expressed as a sum of complex exponential signals using the Fourier synthesis summation.