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1.C. a. In rectangular coordinates the origin is (x, y) = (0,0) but in polar coordinates it is called the '3. Give three different representations of the pole {different from the lecture notes} 2.1. a. Because of the angle sign convention, when you prepare your polar graph paper you really have TWO sets of angles: positive angles rotating CCW and negative angles rotating CW. Illustrate this idea by labeling the 8 rays seen below. b. Plot point A (1".9) = (2,?) and point B (r, 6) = (3:?) on the polar graph paper above, and label your points A and B. 3.C. In polar coordinates the radius can be negative a. Plot the coordinates (r, 9) = (3,?) where 3:7: = 180D - 45" on the polar graph paper below. Label it as A. b. Plot (v.9) = (33}. Label it as B. 4.C. In polar coordinates the radius can be negative a. Suppose a point P is given (1", 6) = (3,5???) where if: = 1800 + 45 . Plot it below and label it as P. b. Come up with the coordinates of P but with a negative radius and 9 is between 0 and %, that is to say, the angle must rotate CCW and be in quadrant I. c. Come up with the coordinates of P but with a negative radius and 9 is between - a?" and 2nr, that is to say, the angle must rotate CW and be in quadrant I. 7 5.2. A point P has coordinates (T, 9) = (2,?) where at = 3600 45" a. of the four basic representation of this point seen below, which case is this representation? Case(i) r>0, 6>0 , OSB0, 6 0, 0S6 D and D S 3 0 and 2l|T 0,6>0,0$60,60,059