Power content of the signal

Electricity and Magnetism Level pending

The message signal $$m(t) = 2 \cos{400t} + 4 \sin{\left(500t+ \frac{\pi}{3}\right)}$$ modulates the carrier signal $$c(t) = \cos{800 \pi t},$$ using DSB amplitude modulation. What is the power content of the modulated signal?

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