v(t) = -2 + 5cos(2pi200t + pi/4) - 2cos(2pi500t - pi/3)

Ive sketched the magnitude, phase, and power spectra. the total signal power in Watts came out to be 4W + 12.5W + 2W = 18.5W

and so the RMS voltage is P=VRMS^2/1Ω => VRMS = sqrt(18.5) = 4.301V

Now, my questions for the rest of this problem are as follows

1) if a 5kΩ resistor is applied to the signal, what is the average power dissipated on the resistor?

2) sketch the signal in time domain and determine its period, frequency, and average value (i think i just really need help on how to sketch it)

any help would greatly be appreciated !!