Quiz about Co-Terminal and Reference Angles in Radians

Question 1

Negative angles are measured in which direction from standard position?

Accepted Answer

Clockwise

Answer

Counterclockwise

Question 2

Which angle is COTERMINAL to $$\frac{\pi}{4}$$ ?

Accepted Answer

$$\frac{9\pi}{4}$$

Answer

$$\frac{7\pi}{4}$$

Answer

$$\frac{3\pi}{4}$$

Answer

$$-\frac{5\pi}{4}$$

Question 3

Which of the following angles are coterminal to the angle $$-\frac{5\pi}{3}$$ ? Select all that apply.

Accepted Answer

$$\frac{\pi}{3}$$

Accepted Answer

$$-\frac{11\pi}{3}$$

Accepted Answer

$$\frac{7\pi}{3}$$

Answer

$$-\frac{15\pi}{3}$$

Question 4

Which of the following angles are coterminal to the angle $$-\frac{3\pi}{4}$$ ? Select all that apply.

Accepted Answer

$$-\frac{11\pi}{4}$$

Answer

$$\frac{7\pi}{4}$$

Answer

$$\frac{\pi}{4}$$

Answer

$$-\frac{7\pi}{4}$$

Question 5

Are $$-\frac{3\pi}{4}$$ and $$\frac{5\pi}{4}$$ coterminal angles?

Accepted Answer

Answer

Question 6

Are $$\frac{15\pi}{4}$$ and $$-\frac{3\pi}{4}$$ coterminal angles?

Accepted Answer

Answer

Question 7

To find an angle that is coterminal to a given angle, add or subtract _______________ and the given angle.

Accepted Answer

Answer

Answer

$$\frac{\pi}{2}$$

Answer

Question 8

Positive angles are measured in which direction from standard position?

Accepted Answer

Counterclockwise

Answer

Clockwise

Question 9

What is the reference angle for 5pi/4?

Accepted Answer

pi/4

Answer

7pi/4

Answer

pi/6

Answer

pi/3

Question 10

What is the reference angle for 2pi/3

Accepted Answer

pi/3

Answer

pi/4

Answer

7pi/6

Answer

4pi/3

Question 11

How many radians does a circle have?

Accepted Answer

2pi radians

Answer

360 degrees

Answer

pi radians

Answer

^{2 radians}

Co-Terminal and Reference Angles in Radians