Free Printable Unit 9 Test Review

1.

Find a coterminal angle to 45°.

a)

360°

b)

405°

c)

315°

d)

295°

2.

Find a coterminal angle to -27°.

a)

-387°

b)

27°

c)

323°

d)

-393°

3.

In which quadrant would you find an angle measuring -740°

a)

1

b)

2

c)

3

d)

4

4.

What are the negative and positive coterminal angles of 120°?

a)

420°, -240°

b)

480°, -240°

c)

300°, -360°

d)

0°, -250°

5.

What are the negative and positive coterminal angles of -165°?

a)

435°, -545°

b)

185°, -305°

c)

195°, -525°

d)

125°, -185°

6.

Which sketch is -295°?

a)

A

b)

B

c)

C

d)

D

7.

Which of the following is closest to the measure of the angle shown?

a)

30º

b)

40º

c)

395º

d)

440º

8.

Which of the following angles are co-terminal to $-\frac{\pi}{2}$ ?

a)

$\frac{3\pi}{2}$ , $\frac{-5\pi}{2}$

b)

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

c)

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

d)

$\frac{5\pi}{2}$ , $-\frac{7\pi}{2}$

9.

Which of the following angles are co-terminal to $\frac{7\pi}{4}$ ?

a)

$-\frac{7\pi}{4}$ , $\frac{14\pi}{5}$

b)

$-\frac{5\pi}{4}$ , $\frac{19\pi}{4}$

c)

$\frac{11\pi}{4}$ , $\frac{-3\pi}{4}$

d)

$\frac{-1\pi}{4}$ , $\frac{15\pi}{4}$

10.

What is the reference angle for 125°?

a)

235°

b)

125°

c)

75°

d)

55°

11.

What is the reference angle for 240°?

a)

60°

b)

30°

c)

45°

d)

210°

12.

What is the reference angle for 275°?

a)

85°

b)

95°

c)

-85°

d)

-95°

13.

Express $\frac{5\pi}{12}$ in degree.

a)

65°

b)

70°

c)

75°

d)

80°

e)

85°

14.

Express -135° in radian.

a)

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

b)

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

c)

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

d)

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

e)

- $\frac{3\pi}{5}$

15.

What is the radian equivalent of 210 degrees?

a)

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

b)

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

c)

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

d)

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

16.

What is 225 degrees in radians?

a)

7π/4

b)

5π/4

c)

3π/4

d)

5π/3

17.

Convert π radians to degrees.

a)

90⁰

b)

180⁰

c)

360⁰

d)

60⁰

18.

What is 45 degrees in radians?

a)

π/2

b)

π/6

c)

π/4

d)

3π/4

19.

$-120\degree\ is\ in\ what\ quadrant?$

a)

Two

b)

Third

c)

One

20.

*

a)

cos x

b)

csc x

c)

sec x

d)

cot x

21.

Given cos⊖ = √3/2 , find the exact value for tan⊖

a)

(-2√3)/3

b)

(2√3)/3

c)

2

d)

√3/3

22.

Evaluate cos(π/3)

a)

1/2

b)

√3 /2

c)

-1

d)

-1/2

23.

Evaluate tan(π/2)

a)

0

b)

1

c)

undefined

d)

-1

24.

Evaluate sin(5π/3)

a)

1/2

b)

-√3/2

c)

-1/2

d)

√3/2

25.

Evaluate cot(3π/2)

a)

0

b)

-1

c)

undefined

d)

1

26.

Evaluate sin(π/2)

a)

0

b)

-1/2

c)

-1

d)

1

27.

Evaluate cos(0)

a)

0

b)

1

c)

-1

d)

I need to study my unit circle :(

28.

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

a)

1

b)

-1

c)

0

d)

undefined

29.

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

a)

1

b)

-1

c)

0

d)

undefined

30.

$\sec\ 2\pi$

a)

1

b)

-1

c)

0

d)

undefined

31.

What the coordinates of 270° on the unit circle?

a)

0, 1

b)

1, 0

c)

-1, 0

d)

0, -1

32.

Based on your unit circle cos(90^o)=

a)

1

b)

0

c)

-1

d)

1/2

33.

cos (-225 $\degree$ ) = ...

a)

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

b)

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

c)

$-\frac{1}{2}$

d)

$\frac{1}{2}$

e)

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

34.

sin (-150 $\degree$ ) = ...

a)

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

b)

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

c)

$\frac{1}{2}$

d)

$-\frac{1}{2}$

e)

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

35.

Evaluate: $\csc\ \frac{7\pi}{4}$

a)

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

b)

$-\sqrt{2}$

c)

$\frac{1}{2}$

d)

$\sqrt{2}$

36.

Find the length of the bolded arc.

a)

$\frac{1805\ \pi}{8}$

b)

$\frac{95\ \pi}{4}$

c)

$\frac{\pi}{2}$

d)

$\frac{135\ \pi}{2}$

37.

Find the length of the bolded arc.

a)

$\frac{57\pi}{4}$

b)

$\frac{20\pi}{3}$

c)

$\frac{950\pi}{3}$

d)

$3\pi$

38.

Find the length of the bolded arc.

a)

$\frac{1331\pi}{12}$

b)

$20\pi$

c)

$\frac{16\pi}{3}$

d)

$\frac{25\pi}{2}$

39.

Find the length of the bolded arc.

a)

$5\pi$

b)

$\frac{115\pi}{6}$

c)

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

d)

$\frac{143\pi}{6}$

40.

Secant is the reciprocal of what function?

a)

Cosecant

b)

Sine

c)

Cosine

d)

Tangent

41.

What is the reciprocal of the sine function?

a)

cosecant

b)

cosine

c)

secant

d)

cotangent

42.

Given the Cos(x) = -2/3, then the Sec(x) = ?

a)

-2/3

b)

-3/2

c)

3/2

d)

2/3

43.

Find secΘ.

a)

17/15

b)

15/17

c)

8/17

d)

17/8

44.

Find cotΘ.

a)

3/4

b)

4/3

c)

5/4

d)

5/3

45.

Find cscΘ.

a)

15/17

b)

17/15

c)

8/17

d)

17/8

46.

a)

b)

c)

47.

a)

b)

c)

48.

a)

b)

c)

d)

e)

49.

1 =

a)

$\sec\left(-90\degree\right)$

b)

$\csc\left(-90\degree\right)$

c)

$\cot\left(0\degree\right)$

d)

$\tan\left(45\degree\right)$

50.

a)

A

b)

B

c)

C

d)

D

51.

What is the correct ratio?

a)

9/41

b)

40/41

c)

9/40

d)

40/9

52.

a)

A

b)

B

c)

C

d)

D

53.

Choose the quadrant where both the tangent and cosine functions produce a negative value.

a)

Quadrant 1

b)

Quadrant 2

c)

Quadrant 3

d)

Quadrant 4

54.

If tanθ = -¾ and cscθ > 0, then cotθ =

a)

-4/5

b)

5/4

c)

-4/3

d)

4/5

55.

If $\tan\theta=-\frac{21}{20}$ and $\sin\theta<0$ in which quadrant could the terminal side of $\theta$ lie?

a)

I

b)

II

c)

III

d)

IV

56.

If $\sec\theta=-\sqrt{10}$ and $\cot\theta>0$ in which quadrant could the terminal side of $\theta$ lie?

a)

I

b)

II

c)

III

d)

IV

57.

Let (-4, 3) be a point on the terminal side of θ. Which of the following is FALSE?

a)

cos θ = -4/5

b)

tan θ = -3/4

c)

sin θ = 3/5

d)

cos θ = 4/5

58.

Let (-4, 3) be a point on the terminal side of θ. What is tan θ?

a)

-4/5

b)

-3/4

c)

3/5

d)

4/5

59.

Point Q(-5, -12) is a point on the terminal side of angle $\theta$ . Find the exact value of cosine $\theta$ .

a)

$\frac{5}{13}$

b)

$-\frac{12}{13}$

c)

$-\frac{5}{13}$

d)

$-\frac{13}{5}$

60.

In what quadrant would Θ be in if:

Sin Θ < 0

Tan Θ > 0

a)

I

b)

II

c)

III

d)

IV

61.

A ceiling fan with 16 inch blades rotates at 45 rpm. Find the angular velocity of the fan in rad/min. Round to the nearest tenth.

a)

90 rad/min

b)

282.7 rad/min

c)

45 rad/min

d)

141.4

62.

Determine the linear velocity of the tips of the blades in inches per minute for a ceiling fan with 20 inch blades rotating at 45 rpm.

a)

5654.9 in/min

b)

1800 in/min

c)

2827.4 in/min

d)

900 in/min

63.

A ceiling fan has 18 inch blades and turns at a rate of 45 revolutions per minute. What is the angular speed in radians per hour?

a)

90π rad / 1 hr

b)

2700π rad / 1 hr

c)

5400π rad / 1 hr

d)

97200π rad / 1 hr

64.

A car tire has a diameter of 14 inches and is spinning at a of 10 revolutions per second. What is the linear speed in miles per hour?

a)

7.95π mi / 1 hr

b)

15.90 mi / 1 hr

c)

3.28 rad / 1 hr

d)

2.84 rad / 1 hr

Unit 9 Test Review - Trigonometry

Total questions: 64

Worksheet time: 4hrs 44mins

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