Communication Systems: JEE Main 2016 Physics question

A modulated signal C_m(t) has the form C_m(t) = 30 sin 300 $\pi$t + 10 (cos 200 $\pi$t −cos 400 $\pi$t). The carrier frequency c, the modulating frequency (message frequency) f_$\omega$, and the modulation index $\mu$ are respectively given by :