Carrier frequency in FM equation

What is the value of carrier frequency in the following equation for the FM signal ?
v(t)= 5 cos(6600t+ 12sin2500t)


a) 1150 Hz
b) 6600 Hz
c) 2500 Hz
d) 1050 Hz

Correct Answer: d) 1050 Hz


A standard FM signal is represented by
v(t)= Ac cos(2πfct+ kfsin2πfmt)
Ac = carrier amplitude
fc= carrier frequency
kf= modulation index
fm = modulating frequency
kf = frequency deviation/modulating frequency
therefore, fc = 6600/2π
= 1050Hz
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