Consider the functions E₁= 3 cos ωt and E₂= 4 sin ωt. First prove that E₂= 4 cos (ωt - Ï€/2). Then, using phasors and referring to Fig. P.7.10, show that E₃= E₁+ E₂= 5 cos (ωt - φ); determine φ. Discuss the values of E₃wherever either E₁= 0 or E₂= 0. Does E₃lead or lag E₁? Explain.

Fig. P.7.10

320 2 wt -1 42-/2 wt -2 -4 5 5L-9 wt 12 -3 -5 3. 3. 4) 3.