Answer
$x^{2}+y^{2}=1$
Work Step by Step
Square both parametric equations:
$x^{2}=\cos^{2}2t$
$y^{2}=\sin^{2}2t$
Add the two equations:
$x^{2}+y^{2}=1$
To graph, create a function value table using values for t, in ascending order of t, calculating the x- and y-coordinates of points on the graph.
Plot and join the points obtained with a smooth curve, noting the direction in which t increases.