00:01
The first thing that you should probably think about with the inverse tangent, and we have negative root 3, is we restrict the domain on the unit circle to either go clockwise or to go counterclockwise a quarter of a turn.
00:18
And so the fact that we have a negative in here, we're going to go clockwise.
00:26
So what makes tangent pretty difficult is it's not a set number on the unit circle.
00:33
It's not an ordered pair, but what i would do is, i don't think i have in the right spot.
00:39
I think it's closer to being down here, is i would utilize one half negative root 3 over 2.
00:44
You might be curious as to why.
00:47
Well, tangent of an angle is equal to sign over cosine.
00:54
And since i'm seeing negative root 3 right here, what i'm going to do is, and it probably doesn't make any sense until you become a math teacher if you decide to be a math.
01:05
Teacher, but that you can put both those numbers root 3 over 2 and the denominator of 1 over 2.
01:12
And so from there, i can see that cosine is 1 half the x coordinate.
01:16
And then sign is negative root 3.
01:18
That's the y coordinate.
01:20
Well, what's that ordered pair correspond to? well, first of all, it's a negative angle, so we're going clockwise...