3. Consider a two-link planar robot, with positive orientations of 0, and 62 as shown in the figure below: P (x,v) 12 02 a) Suppose that 01 = -It rad, 02 = 31t/4 rad, 1, = 5 m and 2 = 10 m. Sketch the orientation of the robot in the x-y plane, and determine the x-y coordinates of point P. (6 points) b) Suppose now that the same robot (1, = 5 m and 12 = 10 m) has its tip located in the fourth quadrant and is oriented y. m in the "elbow down" position (i.e., with a negative value 5 of 62). If the tip of the robot is located at point P(x, y) = 10 x, m (12, -4) m, determine the values of 0, and 02 using the Laws of Sines and Cosines. (14 points) P(12, -4) m Total Points: 20