Plotting the Spectrum of a DSB-C Signal

[Natalie89]

I have m(t)=0.2sin(w1*t) + 0.5cos(w2*t) ---> Note: the 1 and 2 besides "w" (omega) is not a coefficient, its a subscript to show that they are different.

I found the Fourier transform to be M(F)=0.25[∂(f-f2)+∂(f+f2)] + 0.1j[∂(f+f1)-∂(f-f1)].

My question is, how do I sketch the magnitude spectra of this?

 

[rootX]

| M(F) |=0.25[∂(f-f2)+∂(f+f2)] + 0.1[∂(f+f1)-∂(f-f1)].

Phase changes for sin and cos.

These can be better represented by phasor diagrams that you might have or will see soon.

 

[Natalie89]

Thanks!