Chapter 2, Problem 2.6P

(a) Transform $v\left(t\right)=75\cos \left(377t-15°\right)$ to phasor form. Comment on whether $\omega =377$ appears in your answer. (b) Transform $V=50\angle 10°$ 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: $a\left(t\right)=A\sqrt{2}\cos \left(\omega t+\alpha \right)$ and $b\left(t\right)=B\sqrt{2}\cos \left(\omega t+\beta \right)$. Use phasor methods and obtain the resultant c(t). Does the resultant have the same frequency?