this is incorrect. is negative. if you didn't catch that, you should have realized that the original point is in the second quadrant while your new point is in the third

correctb) (0, -7pi/6 ) answer: ( 0, 0)

your answer is way off here. what formulas did you use? did you take the angle to be in degrees or radians?c) (-3, -1.57 ) answer: ( 3.39, 0.42)

no. the point is one the y-axis. does not get you there

2) The rectangular coordinates are given. Find two sets of polar coordinates for the given points for

0 is less than or equal to Theta which is less than 2 pi.

a) (0, -5) answer: (5, -pi/4) ; (-5, -5pi/4)

why did you do this one in degrees?b) (4, -2) answer: (4.47, -26.56 degrees) ; (-4.47, 180 degrees)

anyway, your first coordinates are ok (just change them to radians), your second is not. (-4.47, 180 deg) lies on the x-axis, the point you're considering does not. if you change 4.47 to -4.47 then you should ADD 180 deg to -26.56 deg (but of course, do the angles in radians)

obviously you made a typo here. (-3)^(1/2) is not a real number. did you mean -(3)^(1/2) ?c) (3, (-3)^1/2 ) answer: ( 3.46, -pi/ 6) ; -3.46, 7pi/6)