00:01
So we're given the answers, given the points in rectangular form, z equals 2 plus 2i and w equals root 3 minus i.
00:12
Now the first thing we have to do is convert these.
00:15
So let's take a look at z.
00:16
Z is in the first quadrant, both of the sides would be 2, giving you an r value of 2 root 2.
00:26
So the z value would be 2 root 2.
00:29
And if we take the inverse tangent of 2 over 2, opposite over adjacent, we'll end up with 45 degrees.
00:42
So we end up with cosine, i sign of 45 degrees.
00:48
When we do w, we're going to end up with a triangle in the fourth quadrant, root 3 on one side, one on the other side, giving us a hypotenuse of 2 or an r value of 2.
01:04
The reference angle here would be a 30 degree angle giving us a 330 degree answer for w.
01:13
So we've got 2.
01:16
S.
01:17
330...