posted by Abe .
eliminate the parameter t from the following
x = 4 sin t y= 7 cos t
sketch the graph
t = sin-1 (x/4)
do the t for the other equation the same way, then equate the two results.
to graph it, I would stick with the original equations, and substitute some critical values for t such as 30,45,60,90º or pi/6,pi/4,pi/3,pi/2 etc if you are in radians.