Communication Systems

A message signal is super-imposed with a carrier signal. The resulting modulating signal $C_m(t)$ is given by $C_m(t)=A_1 \sin \left(\omega_1 t\right)+A_2 \sin \left(\omega_2 t\right)-A_2 \sin \left(\omega_3 t\right)$, where $\omega_2<\omega_1<\omega_3$. The modulation index and the angular frequency fo the message signal respectively, are