Which quadrant does the given angle 2009 degrees lie?

1 Answer
Cesareo R.
Oct 18, 2016

#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.

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