Problem $2$

For the time signal x$($t$)$ given below

x$($t$)=20$cos$(60$t$)$cos$(20$t$)$

$($a$)$ Give the Fourier Transform x$(\backslash$omega $)$

$($b$)$ Graph and carefully label the magnitude spectrum $|$x$(\backslash$omega $)|.$ Use graph paper.