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A carrier $Ac\cos(\omega c)t$ is frequency modulated by a signal $Em\cos(\omega m)t.$  The modulation index is $mf.$ The expression for the resulting FM signal is

1. $Ac\cos [\omega ct + mf\sin(\omega m)t]$
2. $Ac\cos [\omega ct + mf\cos(\omega m)t]$
3. $Ac\cos [\omega ct + \pi mf\sin \omega m t]$
4. $Ac\cos [\omega ct + 2\pi mf Em \cos(\omega m)t/\omega m]$

option A is right. It is standard equation of FM
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