Quiz about Trig Angles & Angle Measures

Question 1

Convert $$\frac{5\pi}{4}$$ to degrees.

Accepted Answer

225 degrees

Answer

-120 degrees

Answer

135 degrees

Answer

0.0685 degrees

Question 2

Convert $$\frac{5\pi}{3}$$ to degrees.

Accepted Answer

300 degrees

Answer

-180 degrees

Answer

45 degrees

Answer

600 degrees

Question 3

Convert $$\frac{3\pi}{2}$$ to degrees.

Accepted Answer

270 degrees

Answer

195 degrees

Answer

30 degrees

Answer

235 degrees

Question 4

Convert $$\frac{3\pi}{7}$$ to degrees.

Accepted Answer

77.14 degrees

Answer

185.23 degrees

Answer

30.67 degrees

Answer

80.11 degrees

Question 5

Convert $$\frac{2\pi}{9}$$ to degrees.

Accepted Answer

40 degrees

Answer

30 degrees

Answer

50 degrees

Answer

60 degrees

Question 6

Convert $$145\degree$$ to radians.

Accepted Answer

2.53 radians

Answer

4.55 radians

Answer

4.12 radians

Answer

1.97 radians

Question 7

Convert $$-500\degree$$ to radians.

Accepted Answer

-8.73 radians

Answer

7.22 radians

Answer

-7.22 radians

Answer

8.73 radians

Question 8

Convert $$45\degree$$ to radians.

Accepted Answer

0.79 radians

Answer

1.42 radians

Answer

0.55 radians

Answer

1.99 radians

Question 9

Convert $$-65\degree$$ to radians.

Accepted Answer

-1.13 radians

Answer

-0.99 radians

Answer

-2.31 radians

Answer

-4.33 radians

Question 10

Convert $$450\degree$$ to radians.

Accepted Answer

7.85 radians

Answer

4.13 radians

Answer

6.87 radians

Answer

8.23 radians

Question 11

What are the coordinates of $$120\degree$$ on the unit circle?

Accepted Answer

$$\left(-\frac{1}{2},\frac{\sqrt{3}}{2}\right)$$

Answer

$$\left(-\frac{\sqrt{2}}{2},\frac{\sqrt{3}}{2}\right)$$

Answer

$$\left(\frac{1}{2},-\frac{\sqrt{3}}{2}\right)$$

Answer

$$\left(\frac{\sqrt{2}}{2},\frac{\sqrt{3}}{2}\right)$$

Question 12

What are the coordinates of $$300\degree$$ on the unit circle?

Accepted Answer

$$\left(\frac{1}{2},-\frac{\sqrt{3}}{2}\right)$$

Answer

$$\left(-\frac{\sqrt{2}}{2},\frac{\sqrt{3}}{2}\right)$$

Answer

$$\left(-\frac{1}{2},\frac{\sqrt{3}}{2}\right)$$

Answer

$$\left(\frac{\sqrt{2}}{2},\frac{\sqrt{3}}{2}\right)$$

Question 13

What are the coordinates of $$210\degree$$ on the unit circle?

Accepted Answer

$$\left(-\frac{\sqrt{3}}{2},-\frac{1}{2}\right)$$

Answer

$$\left(-\frac{\sqrt{2}}{2},-\frac{\sqrt{3}}{2}\right)$$

Answer

$$\left(-\frac{1}{2},-\frac{\sqrt{3}}{2}\right)$$

Answer

$$\left(-\frac{\sqrt{2}}{2},-\frac{\sqrt{2}}{2}\right)$$

Question 14

What are the coordinates of $$\frac{5\pi}{4}$$ on the unit circle?

Accepted Answer

$$\left(-\frac{\sqrt{2}}{2},-\frac{\sqrt{2}}{2}\right)$$

Answer

$$\left(-\frac{\sqrt{2}}{2},-\frac{\sqrt{3}}{2}\right)$$

Answer

$$\left(-\frac{1}{2},-\frac{\sqrt{3}}{2}\right)$$

Answer

$$\left(-\frac{\sqrt{3}}{2},-\frac{1}{2}\right)$$

Question 15

What are the coordinates of $$\frac{\pi}{6}$$ on the unit circle?

Accepted Answer

$$\left(\frac{\sqrt{3}}{2},\frac{1}{2}\right)$$

Answer

$$\left(\frac{\sqrt{2}}{2},\frac{\sqrt{3}}{2}\right)$$

Answer

$$\left(\frac{1}{2},\frac{\sqrt{3}}{2}\right)$$

Answer

$$\left(\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2}\right)$$

Question 16

What are the coordinates of $$\frac{\pi}{3}$$ on the unit circle?

Accepted Answer

$$\left(\frac{1}{2},\frac{\sqrt{3}}{2}\right)$$

Answer

$$\left(\frac{\sqrt{2}}{2},\frac{\sqrt{3}}{2}\right)$$

Answer

$$\left(\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2}\right)$$

Answer

$$\left(\frac{\sqrt{3}}{2},\frac{1}{2}\right)$$

Question 17

What are the coordinates of $$\frac{\pi}{4}$$ on the unit circle?

Accepted Answer

$$\left(\frac{\sqrt{2}}{2},\frac{\sqrt{2}}{2}\right)$$

Answer

$$\left(\frac{\sqrt{2}}{2},\frac{\sqrt{3}}{2}\right)$$

Answer

$$\left(\frac{1}{2},\frac{\sqrt{3}}{2}\right)$$

Answer

$$\left(\frac{\sqrt{3}}{2},\frac{1}{2}\right)$$

Question 18

Find the arc length if d = 10 and $$ heta=45\degree$$

Accepted Answer

3.927

Answer

54

Answer

225

Answer

450

Question 19

Find the arc length if r = 18 and $$ heta=0.3\ radians$$

Accepted Answer

5.4

Answer

3.6

Answer

2.7

Answer

4.5

Question 20

Find the arc length if d = 18 and $$ heta=\frac{3\pi}{2}\ $$

Accepted Answer

42.41

Answer

38.22

Answer

2430

Answer

392

Question 21

Select all of the coterminal angles to $$95\degree$$

Accepted Answer

455 degrees

Accepted Answer

-265 degrees

Answer

180 degrees

Answer

1055 degrees

Question 22

Select all of the coterminal angles to $$-195\degree$$

Accepted Answer

-555 degrees

Accepted Answer

165 degrees

Answer

15 degrees

Answer

345 degrees

Question 23

Select all of the coterminal angles to $$350\degree$$

Accepted Answer

-370 degrees

Accepted Answer

-10 degrees

Accepted Answer

710 degrees

Accepted Answer

1070 degrees

Question 24

Select all of the coterminal angles to $$\frac{5\pi}{6}$$

Accepted Answer

$$-\frac{7\pi}{6}$$

Accepted Answer

$$\frac{17\pi}{6}$$

Answer

$$\pi$$

Answer

$$\frac{8\pi}{6}$$

Question 25

Select all of the coterminal angles to $$-\frac{\pi}{2}$$

Accepted Answer

$$-\frac{5\pi}{2}$$

Accepted Answer

$$\frac{3\pi}{2}$$

Answer

$$\pi$$

Answer

$$\frac{5\pi}{2}$$

Question 26

Select all of the coterminal angles to $$-\frac{3\pi}{4}$$

Accepted Answer

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

Accepted Answer

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

Accepted Answer

$$\frac{13\pi}{4}$$

Answer

$$\frac{6\pi}{4}$$

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