a) Radio Turners Tumers in radios select a radio station by adjusting the frequency. A turner may contain an inductor L and a capacitor C, as illustrated in Figure below. The energy stored in the inductor at time t is given by L(t) = k sin (27 Ft) and the energy stored in the capacitor is given by C(t) = k cos (27 Ft), where F is the frequency of the radio station and k is a constant. The total energy E in the circuit is given by E(t) = L(t)+ C(t) Show that E is a constant function.