Plot the corresponding reference circle for each of the following simple hoarmonic motions. Indicate the intial`(t=0)` position of the particle, the radius of the circle, and the angular speed of the rotating particle. For simplicity, the sense of rotation may be fixed to be anticlockwise in every case `: (x` is in cm and t is in s ).
(a) `x=-2 sin(3t+pi//3)` (b)`x=cos(pi//6-t)` (c) `x=3sin(2pit+pi//4)` (d) `x=2cospit`