RMS Current With Harmonics

An ideal AC voltage source is connected in series with a \(1 \ \Omega\) resistance and a \(1 \text{ H}\) inductance. The source voltage (in volts) is given by:

\[\large{V(t) = \sqrt{2} \cos(t) + \sqrt{2} \cos(2t)}\]

What is the RMS (root-mean-square) value of the current flowing in the circuit (in amps, to 3 decimal places)?

Note: Assume the period of the composite signal to be the fundamental period.

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