Question

Determine two pairs of polar coordinates for the point (2, -2) with 0° ≤ θ < 360°.

Answer 1

"(2 sqrt(2), 225°), (-2 sqrt(2), 45°)"
or
"(-2 sqrt(2), 45°), (2 sqrt(2), 225°)"?
What's the difference?

Answer 2

@jim_thompson5910

Answer 3

they look the same to me

Answer 4

just in different order

Answer 5

they're the same (if order doesn't matter)

Answer 6

Sorry, my bad, the second one is "(2*sqrt(2), 45°), (-2 square root of 2, 225°)" @jim_thompson5910

Answer 7

so

"(2 sqrt(2), 225°), (-2 sqrt(2), 45°)"

or

"(2*sqrt(2), 45°), (-2sqrt(2), 225°)"

are your two choices?

Answer 8

Yes, and I believe that the second one is the answer. Correct?

Answer 9

let me check

Answer 10

are they the only two choices?

Answer 11

these choices aren't even in the right quadrant

Answer 12

(2 sqrt(2), 135°), (-2 square root of 2, 315°)
(2 sqrt(2), 315°), (-2 sqrt(2), 135°)

Answer 13

@jim_thompson5910

Answer 14

ok those are closer choices but only (2 sqrt(2), 315°), (-2 sqrt(2), 135°) hits it right on the head

Answer 15

you can either

a) rotate 315 degrees CCW, then go out 2*sqrt(2) units

or

b) rotate 135 degrees CCW, then walk back in reverse 2*sqrt(2) units since it's negative

either way you'll end up at (2,-2) in the cartesian coordinate system