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.

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.

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.

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.

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.

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. 

The angle 315 degrees is located in the fourth quadrant.  The correct coordinate designating this angle is .

The tangent of an angle is .

Therefore, 

is coterminal with the angle , or . This splits quadrants I and II:

First lets identify the angles that make up the third quadrant. Quadrant three is  to  or in radians,  to  thus, any angle that does not fall within this range is not in quadrant three.

Therefore, the correct answer,

is not in quadrant three because it is in the first quadrant.

This is clear when we subtract

.