Please see the 2 problems attached
If i1 = 5sin( 50t + /3 ) and i2 = 6cos50t
Calculate the amplitude of i and the first time that it occurs.
v = 0.02 sin(100t)volts, and i = 0.6 sin(100t + /4)amps
Also calculate the first time that the power reaches a maximum value.
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The solution ...
When two sinusoidal waves with the same frequency are added the resultant signal is a sinusoidal wave as well.
The solution shows how to derive the expression for the resultant signal and how to use it to find what is the signal's new amplitude and when it achieves maxima.
then we see how to multiply two signals to calculate the power using Euler's identity.