Explanation:

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.

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Determine the quadrant that contains the terminal side of an angle 

*
.


*


*


*


*


Explanation:

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.


Explanation:

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.

 


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
*
.
Explanation:

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.

 


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Example Question #6 : Angles In Different Quadrants


What quadrant contains the terminal side of the angle 

*
?


Possible Answers:
Correct answer:

*


Explanation:

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 through 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 in between and
*
, it is a second quadrant angle.

 

 

 

 


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Example Question #7 : Angles In Different Quadrants


What quadrant contains the terminal side of the angle 

*
?


Possible Answers:
Correct answer:

*


Explanation:

First we can convert it to degrees:

 

*

 

When the angle is more 보다 we can divide the angle through 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.

 


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Example Question #1 : Angles In Different Quadrants


What quadrant contains the terminal side of the angle

*
?


Possible Answers:
Correct answer:

*


Explanation:

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.


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Example Question #9 : Angles In Different Quadrants


In what quadrant does

*
 lie? 


Possible Answers:

3rd 


1st 


What are quadrants? 


4th 


2nd 


Correct answer:

3rd 


Explanation:

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. 


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Example Question #1 : Angles In Different Quadrants


Which of the following answers best represent 

*
?


Possible Answers:
Correct answer:

*


Explanation:

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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