In which quadrant does the angle $$-530\text{°}$$ lie?

The angle $$-530\text{°}$$ lies in Quadrant III.

In which quadrant does the angle $$170\text{°}$$ lie?

The angle $$170\text{°}$$ lies in Quadrant II.

Are the angles $$305\text{°}$$ and $$505\text{°}$$ coterminal?

No, the angles $$305\text{°}$$ and $$505\text{°}$$ are not coterminal.

Are the angles $$215\text{°}$$ and $$575\text{°}$$ coterminal?

Yes, the angles $$215\text{°}$$ and $$575\text{°}$$ are coterminal.

What is the range of angles in Quadrant I?

The range of angles in Quadrant I is from $$0\text{°}$$ to $$90\text{°}$$ .

What is the range of angles in Quadrant II?

The range of angles in Quadrant II is from $$90\text{°}$$ to $$180\text{°}$$ .

What is the range of angles in Quadrant III?

The range of angles in Quadrant III is from $$180\text{°}$$ to $$270\text{°}$$ .

What is the range of angles in Quadrant IV?

The range of angles in Quadrant IV is from $$270\text{°}$$ to $$360\text{°}$$ .

If an angle is given as $$\theta = 450\text{°}$$ , what is its coterminal angle between $$0\text{°}$$ and $$360\text{°}$$ ?

The coterminal angle is $$450\text{°} - 360\text{°} = 90\text{°}$$ .

What is the significance of the terminal side of an angle?

The terminal side of an angle is the position of the angle after it has been rotated from the initial side (the positive x-axis) in a counterclockwise direction.

How can you find if two angles are coterminal using subtraction?

To find if two angles are coterminal, subtract the smaller angle from the larger angle and check if the result is a multiple of $$360\text{°}$$ .

Semester Test-Fall Flashcards

Student preview

14 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a quadrant in the context of the Cartesian coordinate system?

Back

A quadrant is one of the four sections of the Cartesian plane, defined by the x and y axes. Quadrant I is where both x and y are positive, Quadrant II is where x is negative and y is positive, Quadrant III is where both x and y are negative, and Quadrant IV is where x is positive and y is negative.

2.

FLASHCARD QUESTION

Front

Back

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

What does it mean for two angles to be coterminal?

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

How do you determine the quadrant of an angle given in degrees?

Back

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