#z_1 / z_2 = (r_1 / r_2) (cos (theta_1 - theta_2) + i sin (theta_1 - theta_2))#
#z_1 = -9 - i, z_2 = 2 - i#
#r_1 = sqrt(-9^2 + -1^2)^2) = sqrt 82#
#theta_1 = tan ^-1 (-1/ -9) ~~ 186.3402^@ = , " III Quadrant"#
#r_2 = sqrt(2^2 + (-1)^2) = sqrt 5#
#theta_2 = tan ^-1 (1/ -2) ~~ 153.4349^@, " II Quadrant"#
#z_1 / z_2 = sqrt(82 / 5) (cos (186.3402 - 153.4349) + i sin (186.3402 - 153.4349))#
#color(indigo)(=> 3.4 + 2.2 i, " I Quadrant"#