(a) Transform \(v(t)=75 \cos \left(377 t-15^{\circ}ight)\) to phasor form. Comment on whether \(\omega=377\) appears in your answer.

(b) Transform \(V=50 / 10^{\circ}\) to instantaneous form. Assume that \(\omega=377\).

(c) Add the two sinusoidal functions \(a(t)\) and \(b(t)\) of the same frequency given as follows: \(a(t)=\) \(\mathrm{A} \sqrt{2} \cos (\omega t+\alpha)\) and \(b(t)=\mathrm{B} \sqrt{2} \cos (\omega t+\beta)\). Use phasor methods and obtain the resultant \(c(t)\). Does the resultant have the same frequency?