Electricity When voltages V₁ =50sin(120πt) and V₂ =120cos(120πt) are applied to the same circuit, the resulting voltage V is equal to their sum. (Source: D. Bell, Fundamentals of Electric Circuits.)
(a) Graph V=V₁ +V₂ in the viewing rectangle [0,0.05,0.01] by [−160,160,40].
(b) Use the graph to estimate values for a and k so that V=asin(120πt+k)
(c) Use a sum or difference identity for sine to verify part (b).