Question

1.x = 3 sin3t
y = 3 cos3t

Answer 1

This is the description of the movement of a point in time.
x and y are its coordinates. Just let the time (t) begin at 0 ans then calculate x and y for every value of t (0, 0.1, 0.2 and so on).
Plot the coordinates and then you will see the path the point follows.
As this is rqther time consuming, it is more convenient to use a program like Geogebra or a graphical calculator like the TI-84.
See what Geogebra makes of it:

By the way, what is the question?