1. Given these sinusoids:
x1(t) = 0.5cos(25t+20°), x2(t)=0.85cos(25t+160°) and x3(t)= 0.81cos(25t-145°)
(a) Subplot the phasors X1, X2 and X3 corresponding to the thee sinusoidal signals at time t=0 seconds and on the same subplot, show the sum of the phasors X = X1+X2+X3.
(b) On a second subplot, plot the phasor positions of X1, X2, X3 and X at t=0.04 seconds. How much phase change in degrees does 0.04 seconds correspond to?
(c) Comment on the relative position of the phasors X1, X2 and X3 on the two plots and annotate plot to indicate how much they have changed position. Use MATLAB to find the amount of rotation.
(d) On a third subplot, find the time domain equivalent sinusoid of the phasor sum Y= X1+(- X2) + X3.
At what time t0 will the phasor Y first lie on the positive real axis?
(e) Submit the plot and source code with any pertinent MATLAB output clearly annotated.