Explanation:

change in radians. Therefore, an angle of
. 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:

change in degrees. Therefore, an angle of
,
. 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

?

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

?

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

?

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

lie?

3rd

1st

4th

2nd

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

?

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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