A continuous$-$lime sinusoid x$\_($t$)$ with fundamental period To $=1/$Fo is sampled at a rate Fs $=1/$T to produce a discrete$-$time sinusoid x$($n$)=$ x$\_($nT$)($a$)$ Show that x$($n$)$ is periodic if T$/$Tp $=$ k$/$N $($l$.$c$.,$ T$/$Tp is a rational number;. $($b$)$ If x$($n$)$ is periodic, what is its fundamental period Tp in seconds? $($c$)$ Explain the statement: $($n$)$ is periodic if its fundamental period Tp in seconds is equal to an integer number of periods of x$.($t$).$