1. The problem statement, all variables and given/known data Suppose Vin(t) = 4cos(2pi*t + 20*) + 3cos(4pi*t + 30*) +5sin(5pi + 50*)V and Vin(t) passes through a system with the following transfer function characteristic H(f): |H(f)| = 10f + 1 (magnitude response with f in Hz) <H(f) = (5*)f (phase response) Find V_0(t) of this system as Vin(t) is passed through it. 2. Relevant equations H(f) = Vout(t) / Vin(t) H(f) = 1 / (1+j(f/f_b)) |H(f)| = 1 / sqrt(1 + (f/f_b)^2) <H(f) = -arctan(f/f_b) 3. The attempt at a solution I broke Vin(t) into 3 separate terms and found the polar form of each, as well as the particular value for f V1 = 4<20*, f1 = 2pi/2pi = 1 V2 = 3<30*, f2 = 4pi/2pi = 2 V3 = 1.31<0*,f3 = 0/2pi = 0 From how I interpret the problem, the statement has a typo and is actually asking for Vout(t). So, Vout(t) = H(f)*Vin(t) Vout(t) = H(f1)*V1 + H(f2)*V2 + H(f3)*V3 My problems seems to be that I can not get H(f) from |H(f)| and <H(f). No graph is given. Any advice? Thanks in advance!