12. Suppose that a pendulum's motion follows a sinusoidal function. The pendulum travels 12 cm on each side of its equilibrium position. An entire cycle takes 2 seconds. a) Write an equation (using a sine or cosine function) to model the behaviour of the pendulum starting from its rest position and moving towards the right (a positive distance from the equilibrium position). b) Calculate the position of the pendulum at 1.75 seconds. c) Determine the time intervals when the pendulum is within 5 cm of its rest position, during the first two cycles