A stick of length 4 pivots counterclockwise around the origin of R2 at a rate of one revolution per second. A smaller stick of length 2 is attached to the end of the larger stick, and pivots counterclockwise around that point at a rate of two revolutions per second. Assuming that both sticks point in the positive x direction at time t=0 , express the curve drawn by the end of the second stick in terms of the parameter t of time measure in seconds.