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Example Questions
Example Question #1 : Angles In Different Quadrants
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.
Example Question #1 : Angles In Different Quadrants
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.
Example Question #1 : Angles In Different Quadrants
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.
Example Question #1 : Angles In Different Quadrants
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
Example Question #1 : Angles In Different Quadrants
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.
Example Question #61 : Angles
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.
Example Question #1 : Angles In Different Quadrants
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.
Example Question #1 : Angles In Different Quadrants
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.
Example Question #1 : Angles In Different Quadrants
In what quadrant does lie?
4th
What are quadrants?
3rd
1st
2nd
3rd
When we think of angles, we go clockwise from the positive x axis.
Thus, for negative angles, we go counterclockwise. Since each quadrant is defined by 90˚, we end up in the 3rd quadrant.
Example Question #10 : Angles In Different Quadrants
Which of the following answers best represent ?
The angle 315 degrees is located in the fourth quadrant. The correct coordinate designating this angle is .
The tangent of an angle is .
Therefore,
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