Answer
$x=y^{2}$
.
Work Step by Step
Pythagorean trigonometric identity:
$\sec^{2}t=\tan^{2}t+1$
leads to
$\sec^{2}t-1=(\tan t)^{2}$
$x=y^{2}$
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.
