Suppose the voltages across the heater and motor are given by VH(1) = 50 sin(30nt) volts and VM(t) = 150 cos(30nt - 4) volts, where t is in sec- onds. (a) Write down the amplitude, frequency (in Hz), period, phase angle (in degrees), and time shift (in seconds) of the voltage across the motor, VM(t). (b) Plot one cycle of the motor voltage VM(t), and indicate the earliest time when the voltage is maximum. (c) Write the voltage VM(t) in the form VM(t) = A sin(30 t) + B cos(30 π t) (i.e., find A and B). (d) The total voltage is Vr(t) = Vµ(t) + VM(t). Write Vr(t) in the form Vr(t) = V sin(30лt + p) (i.e., find V and p).​