Suppose that the carrier signal $A\left(t\right) = A_{o}Cos (2\mathrm{\pi }{\int }_{\mathrm{c}}t + Øc)$ is modulated by the modulating signal $m\left(t\right) \cos 2 {\int }_{m}t, {\int }_{mce}{\int }_c$Determine the double side band (DSB) amplitude modulated signal, its upper and lower side bands and draw its spectrum assuming a modulation indes of a.