A modulated signal $C_{m}(t)$ has the form $C_{m}(t)=30 \sin 300 \pi t$ $+10(\cos 200 \pi \mathrm{t}-\cos 400 \pi \mathrm{t})$. The carrier frequency $\mathrm{f}_{\mathrm{c}}$, the modulating frequency (message frequency) $f_{\omega}$ and the modulation indix $\mu$ are respectively given by: