1. Convert the rectangular coordinates (3, 3) into polar coordinates. Express all angles in degrees. a. b. c. d. 3 square root 2, 45 degrees 3 square root 2, 45 degrees 3 square root 2, 135 degrees 3 square root 2, 135 degrees 2. Convert the rectangular coordinates (square root 2, negative square root 2) into polar coordinates. Express all angles in degrees rounded to the nearest degree. a e. f. g. (2, 180 degrees) (2, 0 degrees) (2, 45 degrees) ( 2, 45 degrees) 3. A woman walks 100 yards east along a straight shoreline and then swims 30 yards south into the ocean on a line that is perpendicular to the shoreline. Using her starting point as the pole and the east direction as the polar axis, give her current position polar coordinates. Round the coordinates to the nearest hundredth. Express in degrees. a h. i. j. (11.40, 88.28 degrees) (104.40, 88. 28 degrees (11. 40, 16.70 degrees) (104.40, 16.70 degrees) 4.The letters r and represent polar coordinates. Write the following equation using rec tangular coordinates (x, y). r=cos pheta a k. l. m. (x+y)^2 =x (x+y)^2 =y X^2 + y^2 = y x^2 + y^2 =x 5.The letters x and y represent rectangular coordinates. Write the following equation us ing polar coordinates (r, ). x^2 +4y^2 =4 a n. o. p. cos^2 pheta + 4sin^2pheta =4r 4cos^2 pheta + sin^2pheta =4r r^2(cos^2pheta + 4sin^2pheta) =4 r^2 (4cos^2pheta + sin^2pheta) =4 6. The letters r and represent polar coordinates. Write the following equation using rec tangular coordinates (x, y). r=10sin pheta a q. r. s. (x+y)^2 = 10x (x+y)^2=10y x^2 + y^2 =10y x^2 + y^2 = 10x 7.The letters x and y represent rectangular coordinates. Write the following equation us ing polar coordinates (r, ). y=5 a t. u. v. rcos pheta= 5 rcos pheta= 5 rsin pheta = 5 rsin pheta =5 8.The letters x and y represent rectangular coordinates. Write the following equation us ing polar coordinates (r, ). x= 3 a w. x. y. rcos pheta = 3 rcos pheta = 3 rsin pheta = 3 rsin pheta = 3