posted by Abbey(Urgent Please help) .
The rectangular coordinates of a point are given. Find two sets of polar coordinates for the point for 0 is less than or equal to Q is less than 2pi.
My answers were (-3sqrt2, pi/4) and (pi/4, -3sqrt2).
My teacher said that my answers have to be in quadrant 3. Is my second answer wrong?
Yes, your second answer is wrong.
polar coordinates are of the form (radius, angle) your point is backwards.
you know, as your teacher told you, that the point (-3,-3) is in quadrant III (just sketch it)
so (-3√2, π/4) is correct,
wouldn't (3√2, 5π/4) put you in the same position?