Question

Which quadrant does the given angle 2009 degrees lie?

Answer 1

`2009` is located into the third quadrant.

Explanation:

The first thing is to calculate how many whole turns this angle covers

Dividing `2009/360=5.58056` we know that `5` whole turns so

`2009-5*360=209 = a` and now

If `0 < a le 90` first quadrant
If `90 < a le 180` second quadrant
If `180 < a le 270` third quadrant
If `270 < a le 360` fourth quadrant.

So `2009` is located into the third quadrant.