Given parametric equations and parameter intervals for the motion of a particle in the xy-plane below, identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion. x = −3 sec(t), y = 3 tan(t), −π2 < t < π2 Choose the correct answer for the Cartesian equation representing the same path defined by the given parametric equations. A. (x−y)2 = 18 B. (x−y)2 = 9 C. x2−y2 = 18 D. x29−y29 = 1 Choose the correct graph that represents this motion. A. B.
