Consider the curve described by the parametric equations $x=-co{s}^{2}t,y=-si{n}^{2}t,t0$

$($a$)$ Eliminate the parameter. You may NOT use inverse trig functions.

$($b$)$ Sketch the curve given by the parametric equations. Draw arrows to indicate the direction in which the curve is traced as the parameter increases. Label your graph with points corresponding to at least three values of $t,$ including the initial point of the curve.

$($c$)$ Describe in words the manner in which the curve is traced out.