Instantaneous Current, Voltage and Power

The instantaneous current and voltage in an electric circuit are given by
i = Icos50 pi t
v = Vcos(50 pi t + pi/6)
Determine an expression for the instantaneous power in the circuit, p = iv, as the sum of two cosines.
If I is 3 mA and V is 5 V, calculate the maximum value of p, giving your answer in watts correct to three significant figures, and the first positive value of I at which it occurs.

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Instantaneous Current, Voltage and Power are investigated. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.