Trigonometry › Angles in Different Quadrants
Which quadrant does belong?
II
III
IV
I
Step 1: Define the quadrants and the angles that go in:
QI:
QII:
QIII:
QIV:
Step 2: Find the quadrant where is:
The angle is located in QII (Quadrant II)
Determine the quadrant that contains the terminal side of an angle measuring .
Each quadrant represents a change in radians. Therefore, an angle of
radians would pass through quadrants
,
, and end in quadrant
. The movement of the angle is in the clockwise direction because it is negative.
Determine the quadrant that contains the terminal side of an angle .
Each quadrant represents a change in degrees. Therefore, an angle of
radians would pass through quadrants
,
,
,
and end in quadrant
. The movement of the angle is in the clockwise direction because it is negative.
What quadrant contains the terminal side of the angle ?
The coordinate plane is divided into four regions, or quadrants. An angle can be located in the first, second, third and fourth quadrant, depending on which quadrant contains its terminal side. When the angle is between and
, the angle is a third quadrant angle. Since
is between
and
, it is a thrid quadrant angle.
What quadrant contains the terminal side of the angle ?
First we can convert it to degrees:
The movement of the angle is clockwise because it is negative. So we should start passing through quadrant . Since
is between
and
, it ends in the quadrant
.
What quadrant contains the terminal side of the angle ?
The coordinate plane is divided into four regions, or quadrants. An angle can be located in the first, second, third and fourth quadrant, depending on which quadrant contains its terminal side.
When the angle is more than we can divide the angle by
and cut off the whole number part. If we divide
by
, the integer part would be
and the remaining is
. Now we should find the quadrant for this angle.
When the angle is between and
, the angle is a first quadrant angle. Since
is between
and
, it is a first quadrant angle.
What quadrant contains the terminal side of the angle ?
The coordinate plane is divided into four regions, or quadrants. An angle can be located in the first, second, third and fourth quadrant, depending on which quadrant contains its terminal side.
When the angle is more than we can divide the angle by
and cut off the whole number part. If we divide
by
, the integer part would be
and the remaining is
. Now we should find the quadrant for this angle.
When the angle is between and
, the angle is a second quadrant angle. Since
is between
and
, it is a second quadrant angle.
What quadrant contains the terminal side of the angle ?
First we can convert it to degrees:
When the angle is more than we can divide the angle by
and cut off the whole number part. If we divide
by
, the integer part would be
and the remaining is
. Now we should find the quadrant for this angle.
When the angle is between and
, the angle is a third quadrant angle. Since
is between
and
, it is a third quadrant angle.
Which of the following angles lies in the second quadrant?
The second quadrant contains angles between and
, plus those with additional multiples of
. The angle
is, after subtracting
, is simply
, which puts it in the second quadrant.
What quadrant contains the terminal side of the angle ?
First we can write:
The coordinate plane is divided into four regions, or quadrants. An angle can be located in the first, second, third and fourth quadrant, depending on which quadrant contains its terminal side. When the angle is between and
, the angle is a second quadrant angle. Since
is between
and
, it is a second quadrant angle.