Question

Determine two pairs of polar coordinates for the point (4, -4) with 0\(^o\) \(\le\) \(\theta\) < 360\(^o\).

Answer 1

it's clear that \(r = 4\sqrt 2\). let's look at the angle.

Answer 2

the angle here is \(\theta = 315^{\circ}\) (fourth quadrant).

Answer 3

not sure what this thing means by two pairs, but i'd assume that the two pairs are a result of inverse tan.

Answer 4

\[y/x = \tan \theta\]

Answer 5

think 315-180 puts us in the second quadrant
think about this other point in the second quadrant I drew