1. which of the following is another representation of the polar coordinate P= (8, -45 degrees) a. (8, 45 degrees) b. (8, 135 degrees) c. (-8, 135 degrees) d. (-8, -135 degrees) 2. convert the rectangular coordinates (4,-4) into polar coordinates a. (4 square root 2, 45 degrees) b. (4 square roots 2, -45 degrees) c. (-4 square root 2, -45 degrees) d. (-4 square root 2, - 45 degrees) 3. A fire truck is en route to an address that is six blocks east and five blocks north of the fire station. Using the fire station as the pole and the east direction as the polar axis, express the fire truck's destination in polar coordinates. Round the coordinates to the nearest hundredth. Express in degrees. a. (7.81,39. 81 degrees) b. (7.81,50. 19 degrees) c. (3.32,39.81 degrees) d. (3.32,50. 19 degrees) 4. The letters x and y represent rectangular coordinates. Write the following equation using polar coordinates (r, pheta) y=-10 a. rcospheta = 10 b. rcospheta = -10 c. rsinpheta = 10 d. rsinpheta = -10 5. Identify the real portion of the complex number z=10 + 7i a. 7 b. -7 c. 10 d. -10 6. Write the following complex number in polar form. Express all angles in degrees rounded to the nearest tenth. 2+i square root 21 a. 5(cos23.6 degrees + isin23.6 degrees) b. 5(cos66.4 degrees +isin66.4 degrees) c. 25(cos 23.6 degrees + isin23.6 degrees) d. 25(cos66.4 degrees +isin66.4 degrees) 7. Find z /w. Leave your answer in simplified polar form. Express all angles in degrees rounded to the nearest tenth. a. 1.5 (cos5 degrees + isin5 degrees) b. 1.5 ( cos1.5 degrees + isin1.5 degrees) c. 6 ( cos 5 degrees + isin5 degrees) d. 6(cos 1.5 degrees + isin1.5 degrees) 9. identify the conjugate of the complex number -2-4i a. -2+4i b. -2 -4i c. 2+4i d. 2-4i 10. the letter x and y represent rectangular coordinates. Write the following equation using polar coordinates. (r, pheta) x^2 +y^2 =1 (SHOW WORK) 11. Write the following complex number in polar form. Express all angles in degrees rounded to the nearest tenth. -3. (SHOW WORK) 12. 12. Find z . w Leave your answer in simplified polar form. Express all angles in degrees rounded to the nearest tenth. (SHOW WORK) 13. The letters r and pheta represent polar coordinates. Write the equation usisng rectanular coordinates (x,y) r=sinpheta a. (x+y)^2 = x b. (x+y)^2 = y c. x^2 +y^2 =y d. x^2 + y^2 =x 14. Find 2 * w. Leave your answer in simplified polar form. Express all angles in degrees rounded to the nearest tenth. z= 1 (cos50 + i sin 50 degrees) w= -3 (cos 5 + isin 5 degrees) a. -3 (cos 55 degrees + isin 55 degrees) b. -3 (cos250 degrees + isin 250 degrees) c. -2 (cos 55 degrees + isin 55 degrees) d. -2 (cos 250 degrees + isin 250 degrees)