You are given the equation y(t) = 2 sin 4pi t +5 cos 4pi t, which models the position of the weight, with respect to time. You need to find the amplitude of the oscillation, the angular frequency, and the initial conditions of the motion. You will also be required to
find the time(s) at which the weight is at a particular position. To find this information, you need to convert the equation to the first
form, y(t) = A sin(wt+”phase”).

Part A
Use the information above and the trigonometric identities to prove that A sin(wt + “phase”) = c2sin wt + c1 cos wt.