$A$ signal $A \cos \omega t$ is transmitted using $v_0 \sin \omega_0 t$ as a carrier wave. The correct amplitude modulated $(AM)$ signal is:

• A
  $v_0 \sin [\omega_0 (1 + 0.01 A \sin \omega t)t]$
• B
  $v_0 \sin \omega_0 t + \frac{A}{2} \sin (\omega_0 - \omega)t + \frac{A}{2} \sin (\omega_0 + \omega)t$
• C
  $v_0 \sin \omega_0 t + A \cos \omega t$
• D
  $(v_0 + A) \cos \omega t \sin \omega_0 t$