In AM radio, the transmitted signal (voice or music) is modulated by a sinusoid at the assigned broadcast frequency of the AM station. For example, WSB in Atlanta has a carrier frequency of 750 kHz. For example, if x(t) is the voice/music signal, then the transmitted signal would be: 2 75 y(t) = [x (1) + A cos(2 (750 x 10³)) FL Acos (21, (750+10SE) where A is a constant. (A is introduced to make the AM receiver design easier, in which case A (+) co must be chosen to be larger than the maximum value of v(t).) Suppose that the signal that is to be transmitted is x(1) = 3 cos(2000x + x/4)+cos(4000x+π/2) Draw the spectrum for y(t) assuming a carrier at 750 kHz with A = 2. Hint: Substitute for x(t) and expand y(t) into a sum of cosine terms of three different frequencies. 3c 70005t