Answer

Angle Modulation: $s(t)=A_c\cos(\omega_c t+\phi(t))$. FM: $\phi(t)=k_f\int m$, $s_{FM}=A_c\cos(\omega_c t+k_f\int m)$, $\beta=\Delta f/f_m$. PM: $\phi=k_p m$, $s_{PM}=A_c\cos(\omega_c t+k_p m)$. Bessel sidebands, Carson $B=2(\Delta f+f_m)$.