11. We can use the following table of Trigonometric identities to determine the upper and lower sidebands of the amplitude modulates signal. sinc + sin / = 2 sin, (a + /) cos- (a F #) sin' a + cos= (a) = 1 cosa + cos / = 2 cos, (a + 8) cos= (a - 8) 1 +tan' a = sec- a sin(a + b) = sin(a )cos( F) + cos(a ) sin (6) 1 +tan' a = sec- a sin (a+ B)=sin(a]cos (B] + cos(a )sin (B) tan(a+ ()=tana+tans-tana tanp sin(a-8)=sin(a)cos(B)-cos(a)sin(B) tan(a-8)=tana-tang+tanatank cos (a) cos (B) = 1 cos( a - B ) + 1 cos( a + ( ) Sin (2a ) = (2 tan a )/(1 + tan] a ) cos(a+()=cosacosB-sincesing Sin (2a) = 2 sin a cos a cos(a-P)=cosacos+ sincesing Cos (2a) = 2cos a -1 sin a sin # = 1%[cos( c - P) - cos ( a + p)] Sin (2a) = 2sin a cos a sin a cos 8 = W[sin( a + 6) +sin( a - B)] Cos20 = cos- a -sin= a From the above table we have: SinaSins = 1/2[cos(a - 8) - cos(a + 8)]- With a = 2xfet and B=2nfit, VAN = 10sin(2nfet) + 5 (C) [(cos2n(fc - fi)t - cos 2n(fc + fot] , where fo - fi is the lower side band, and fe + fi is the upper side band. 12. Assume that f. = 100 KHz and fi = 10 KHz, use a calculator to develop the equation for the composite modulated signal VAM = 13. To generate the time-domain representation of the composite modulated signal, use the "Desmos" graphing tool at https://www.desmos.com/calculator. The equation used to generate the sample graph below is: Y = 10*sin(628319x) + 2.5*(cos(565487x) -cos(691150x))