Free Printable quiz 1d

1.

What is 5π/6 radians in degrees?

a)

180

b)

150

c)

360

d)

120

2.

What is 4π/3 radians in degrees?

a)

120

b)

240

c)

210

d)

270

3.

What is 0 degrees in radians?

a)

2π

b)

0

c)

π

d)

π/2

4.

What is 360 degrees in radians?

a)

2π/3

b)

5π/4

c)

2π

d)

π

5.

What is 150 degrees in radians?

a)

5π/6

b)

7π/6

c)

5π/4

d)

π/6

6.

What is 45 degrees in radians?

a)

π/2

b)

π/6

c)

π/4

d)

3π/4

7.

What is π/3 radians in degrees?

a)

30

b)

60

c)

360

d)

90

8.

Convert 510^o to Radians

a)

25π / 3

b)

23π / 8

c)

17π / 6

d)

51π / 8

9.

Convert 270^o into radians

a)

π/ 4

b)

3π/ 2

c)

3π/ 4

d)

π/ 2

10.

Convert -520^o into Radians

a)

-17π / 4

b)

-21π / 6

c)

-26π / 9

d)

-23π / 6

11.

Convert 35π / 18 radians into degrees

a)

350^o

b)

340^o

c)

355^o

d)

345⁰

12.

Convert -41π / 12 radians into degrees

a)

-600^o

b)

-605^o

c)

-610^o

d)

-615^o

13.

Convert - 13π / 6 radians into degrees

a)

-330^o

b)

-390^o

c)

-300^o

d)

-315^o

14.

How many radians does a circle have?

a)

360 degrees

b)

2pi radians

c)

pi radians

d)

^{2 radians}

15.

What are the negative and positive coterminal angles of -225 degrees?

a)

375°, -600°

b)

125°, -356°

c)

135°, -585°

d)

60°, -120°

16.

Which of the following is a negative coterminal angle of 165 degrees?

a)

195

b)

525

c)

-525

d)

-195

17.

What are the negative and positive coterminal angles of 240 degrees?

a)

540°, -120°

b)

600°, -120°

c)

425°, -240°

d)

120°, -135°

18.

Find a coterminal angle to 0 degrees.

a)

360

b)

180

c)

90

d)

270

19.

Which of the following is a negative coterminal angle of 165 degrees?

a)

-165

b)

525

c)

-525

d)

-555

20.

What is the best estimate of the red angle?

a)

115

b)

85

c)

90

21.

What is the best estimated of the red angle?

a)

45

b)

60

c)

90

22.

How many radians are there in half a circle?

a)

2 pi

b)

180^o

c)

360^o

d)

pi

23.

Convert the following to degrees:
-8π/5 radians

a)

-288⁰

b)

-260⁰

c)

-275⁰

24.

What are the negative and positive coterminal angles of -225 degrees?

a)

375°, -600°

b)

125°, -356°

c)

135°, -585°

d)

60°, -120°

25.

Set up the problem so that you can solve for X.

a)

sin X = 41/28

b)

tan X = 41/28

c)

cos X = 28/41

d)

sin X = 28/41

26.

Solve for x. Round to the nearest tenth.

a)

15.3

b)

16.6

c)

24.1

d)

24.3

27.

Find the measure of the missing angle.

a)

64^o

b)

26^o

c)

61^o

d)

8^o

28.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

29.

What is the length of y in this picture?

a)

45

b)

5√2

c)

90

d)

5

30.

What is the length of x in this 45-45-90 triangle?

a)

4√2

b)

4

c)

8

d)

4√3

31.

What is the length of u and v in this 30-60-90 triangle?

a)

u = 8 v = 4√3

b)

u = 4√2 v = 8

c)

u = 16 v = 8

d)

u = 4√3 v = 8

32.

What is the length of y in this picture?

a)

45

b)

5√2

c)

90

d)

5

33.

Evaluate: cos^-1(1/2)

a)

π/6

b)

π/4

c)

π/3

d)

π/2

34.

Evaluate: tan^-1(√3)

a)

π/6

b)

π/4

c)

π/3

d)

π/2

35.

Evaluate: arccos(-√3/2)

a)

-π/6

b)

-π/3

c)

2π/3

d)

5π/6

36.

Evaluate: arctan(1)

a)

π/6

b)

π/4

c)

π/3

d)

π/2

37.

Evaluate: sin^-1(-√2/2)

a)

-π/4

b)

3π/4

c)

5π/4

d)

7π/4

38.

Evaluate: arccos(0)

a)

0

b)

π/2

c)

3π/2

d)

2π

39.

Evaluate: Cot^-1(-√3/3)

a)

π/3

b)

2π/3

c)

-π/6

d)

-π/3

40.

What is the ratio for Tangent

a)

Opp/Adj

b)

Adj/Opp

c)

Opp/Hyp

d)

Hyp/Opp

41.

What is the ratio for Cosine?

a)

Opp/Hyp

b)

Opp/Adj

c)

Adj/Opp

d)

Adj/Hyp

42.

True or false: $\sin\theta$ is positive in quadrant 3?

a)

True

b)

False

43.

True or false: $\tan\theta$ is positive in quadrant 1?

a)

True

b)

False

44.

The terminal side of $135\degree$ is in quadrant _____.

a)

I

b)

II

c)

III

d)

IV

45.

$\sin150\degree$

a)

$\frac{1}{2}$

b)

$-\frac{1}{2}$

c)

$\frac{\sqrt{3}}{2}$

d)

$-\frac{\sqrt{3}}{2}$

e)

none of these

46.

$\cos240\degree$

a)

$\frac{1}{2}$

b)

$-\frac{1}{2}$

c)

$\frac{\sqrt{3}}{2}$

d)

$-\frac{\sqrt{3}}{2}$

e)

none of these

47.

$\sin315\degree$

a)

$\frac{1}{2}$

b)

$-\frac{1}{2}$

c)

$\frac{1}{\sqrt{2}}$ or $\frac{\sqrt{2}}{2}$

d)

$-\frac{1}{\sqrt{2}}$ or $-\frac{\sqrt{2}}{2}$

e)

none of these

48.

$\cos\ 225\degree$

a)

$\frac{1}{2}$

b)

$-\frac{1}{2}$

c)

$\frac{1}{\sqrt{2}}$ or $\frac{\sqrt{2}}{2}$

d)

$-\frac{1}{\sqrt{2}}$ or $-\frac{\sqrt{2}}{2}$

e)

none of these

49.

$\tan300\degree$

a)

$\sqrt{3}$

b)

$-\sqrt{3}$

c)

$\frac{1}{\sqrt{3}}$ or $\frac{\sqrt{3}}{3}$

d)

$-\frac{1}{\sqrt{3}}$ or $-\frac{\sqrt{3}}{3}$

e)

none of these

50.

$\tan^{-1}\left(-1\right)$

a)

$45\degree$

b)

$-45\degree$

c)

$315\degree$

d)

$135\degree$

e)

none of these

51.

Evaluate: $\sin\ \frac{7\pi}{6}$

a)

$-\frac{1}{2}$

b)

$-\frac{1}{\sqrt{2}}$

c)

$\frac{2}{\sqrt{3}}$

d)

$-\frac{\sqrt{3}}{2}$

52.

Evaluate: $\sec\ \frac{\pi}{4}$

a)

$\frac{1}{2}$

b)

$\frac{1}{\sqrt{2}}$

c)

$\sqrt{2}$

d)

$\frac{\sqrt{3}}{2}$

quiz 1d

Total questions: 52

Worksheet time: 3hrs 26mins

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