Trigonometry : Angles in Different Quadrants

Study concepts, example questions & explanations for Trigonometry

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Example Questions

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Example Question #1 :Angles In Different Quadrants

Determine the quadrant that contains the terminal side of an angle measuring.

Possible Answers:

Correct answer:

Explanation:

Each quadrant represents achange in radians. Therefore, an angle ofradians 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.

Possible Answers:

Correct answer:

Explanation:

Each quadrant represents achange in degrees. Therefore, an angle ofradians would pass through quadrants,,,and end in quadrant. The movement of the angle is in the clockwise direction because it is negative.

Example Question #3 :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 betweenand, the angle is a third quadrant angle. Sinceis betweenand, it is a thrid quadrant angle.

Example Question #4 :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:

The movement of the angle is clockwise because it is negative. So we should start passing through quadrant. Sinceis betweenand, it ends in the quadrant.

Example Question #1 :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 thanwe can divide the angle byand cut off the whole number part. If we divideby, the integer part would beand the remaining is. Now we should find the quadrant for this angle.

When the angle is betweenand, the angle is a first quadrant angle. Sinceis betweenand, it is a first quadrant angle.

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 thanwe can divide the angle byand cut off the whole number part. If we divideby, the integer part would beand the remaining is. Now we should find the quadrant for this angle.

When the angle is betweenand, the angle is a second quadrant angle. Sinceis betweenand, it is a second quadrant angle.

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 thanwe can divide the angle byand cut off the whole number part. If we divideby, the integer part would beand the remaining is. Now we should find the quadrant for this angle.

When the angle is betweenand, the angle is a third quadrant angle. Sinceis betweenand, it is a third quadrant angle.

Example Question #2 :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 betweenand, the angle is a second quadrant angle. Sinceis betweenand, it is a second quadrant angle.

Example Question #2 :Angles In Different Quadrants

In what quadrant doeslie?

Possible Answers:

4th

1st

3rd

2nd

What are quadrants?

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.

Example Question #10 :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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