Free Printable Intro to Trig and Unit Circle Review

1.

What is 5π/6 radians in degrees?

a)

180

b)

150

c)

360

d)

120

2.

What is 7π/4 radians in degrees?

(a)

3.

What is 360 degrees in radians?

a)

2π/3

b)

5π/4

c)

2π

d)

π

4.

What is 150 degrees in radians?

a)

5π/6

b)

7π/6

c)

5π/4

d)

π/6

5.

What is 45 degrees in radians?

a)

π/2

b)

π/6

c)

π/4

d)

3π/4

6.

What is 60 degrees in radians?

a)

2π/3

b)

π/3

c)

4π/3

d)

π/6

7.

What is 120 degrees in radians?

a)

2π/3

b)

π/3

c)

5π/3

d)

4π/3

8.

What is 2π/3 radians in degrees?

(a)

9.

What is 11π/6 radians in degrees?

(a)

10.

What is π/3 radians in degrees?

(a)

11.

How many degrees are there in half a circle?

a)

360^o

b)

2pi

c)

180^o

d)

pi

12.

Convert 60° to a radian measure.

a)

$\frac{\pi}{3}$

b)

$\frac{\pi}{6}$

c)

$\frac{\pi}{2}$

d)

$\pi$

13.

Convert 90° to a radian measure.

a)

$\frac{\pi}{3}$

b)

$\frac{\pi}{4}$

c)

$\frac{\pi}{2}$

d)

$\pi$

14.

Convert 45° to a radian measure.

a)

$\frac{\pi}{8}$

b)

$\frac{\pi}{4}$

c)

$\frac{\pi}{2}$

d)

$\frac{\pi}{6}$

15.

Find a coterminal angle to 5°.

a)

365°

b)

255°

c)

-220°

d)

-365°

16.

Find a coterminal angle to 45°.

a)

360°

b)

405°

c)

315°

d)

295°

17.

Find a coterminal angle to -90°.

a)

-450°

b)

90°

c)

180°

d)

-180°

18.

Find a coterminal angle to -27°.

a)

-387°

b)

27°

c)

323°

d)

-393°

19.

Which of the following angles are co-terminal to 330^o?

a)

-330^o, 330^o

b)

510^o, -210^o

c)

690^o, -30^o

d)

420^o, -330^o

20.

Which of the following angles are co-terminal to -75^o?

a)

-365^o, 75^o

b)

285^o, -435^o

c)

105^o, -255^o

d)

425^o, -335^o

21.

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

a)

540°, -120°

b)

600°, -120°

c)

425°, -240°

d)

120°, -135°

22.

Two angles added together to produce 90 degrees

a)

Supplementary

b)

Complementary

c)

Right

d)

Vertical

23.

These angles are...

a)

Complementary

b)

Supplementary

c)

Neither

24.

What is an example of a pair of complementary angles?

a)

45° and 48°

b)

79° and 30°

c)

150° and 32°

d)

36° and 54°

25.

FIND THE ARC LENGTH OF THE BOLDED ARC

a)

A

b)

B

c)

C

d)

D

26.

When she is outdoors, Tasha, the dog, is tied to a stake in the center of a circular area of radius 24 feet. The angle between her dog house and her favorite hydrant is 165 degrees. What is the length of the arc from her dog house to the hydrant, following minor arc DG, to the nearest foot.

a)

40

b)

35

c)

55

d)

69

27.

The diameter of a circle is 8 centimeters. A central angle of the circle intercepts an arc of 12 centimeters. What is the radian measure of the angle?

a)

3

b)

4

c)

8π

d)

3/2

28.

Circle A has a radius of 8 cm. The measure of central angle CAB is 2.5 radians. What is the length of the intercepted arc CB?

a)

20 cm

b)

16.5 cm

c)

8.5 cm

d)

3.2 cm

29.

Convert to degrees

a)

270 degrees

b)

230 degrees

c)

185 degrees

d)

460 degrees

30.

Convert 390 degrees to radians

a)

b)

c)

d)

31.

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)

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

32.

The length of an arc is 18 cm and the diameter of the circle is 12 cm. What is the radian measure of the central angle?

a)

2 radian

b)

3 radian

c)

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

d)

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

33.

Solve for the value of y

a)

13

b)

5

c)

23

d)

10

34.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

35.

What is the length of the hypotenuse side?

a)

8

b)

15

c)

17

36.

In relation to the angle θ, label the side marked c in this right-angled triangle.

a)

Hypotenuse

b)

Adjacent

c)

Opposite

37.

In relation to the angle θ, label the side marked a in this right-angled triangle.

a)

Hypotenuse

b)

Adjacent

c)

Opposite

38.

In relation to the angle θ, label the side marked a in this right-angled triangle.

a)

Hypotenuse

b)

Adjacent

c)

Opposite

39.

Which is the correct ratio for the tangent ratio?

a)

$\frac{adjacent\ }{hypotenuse}$

b)

$\frac{opposite\ }{hypotenuse}$

c)

$\frac{adjacent\ }{opposite\ }$

d)

$\frac{opposite\ }{adjacent\ }$

40.

Which is the correct ratio for the cosine ratio?

a)

$\frac{adjacent\ }{hypotenuse}$

b)

$\frac{opposite\ }{hypotenuse}$

c)

$\frac{adjacent\ }{opposite\ }$

d)

$\frac{opposite\ }{adjacent\ }$

41.

Which is the correct ratio for the sine ratio?

a)

$\frac{adjacent\ }{hypotenuse}$

b)

$\frac{opposite\ }{hypotenuse}$

c)

$\frac{adjacent\ }{opposite\ }$

d)

$\frac{opposite\ }{adjacent\ }$

42.

We can use SOH-CAH-TOA for...

a)

Any triangle ever

b)

Non-right triangles only

c)

Right Triangles only

d)

Never

43.

$\cos\left(\theta\right)=?$

a)

$\frac{3}{5}$

b)

$\frac{4}{5}$

c)

$\frac{3}{4}$

d)

$\frac{4}{3}$

44.

What is 7π/10 in degrees?

a)

120

b)

126

c)

123

d)

119

45.

Find the length of the arc

a)

31.42cm

b)

15.71cm

c)

282.74cm

d)

23.56cm

46.

Find the length of the arc

a)

246.09cm

b)

24.61cm

c)

123.05cm

d)

240.86cm

47.

Who is this?

a)

Orbit

b)

Philly Phanitic

48.

What is the name of the San Francisco 49ers mascot?

a)

T-Rac

b)

Sourdough Sam

c)

T.D.

d)

Sir Purr

49.

What is the name of the Carolina Panthers mascot?

a)

Sir Purr

b)

Rowdy

c)

Toro

d)

Sourdough Sam

50.

sin 5π/6

a)

√3/2

b)

-√3/2

c)

1/2

d)

-1/2

51.

cos 225⁰

a)

-√3/2

b)

√3/2

c)

√2/2

d)

-√2/2

52.

tan 4π/3

a)

√3

b)

-√3

c)

-√3/3

d)

√3/3

53.

csc 330⁰

a)

2

b)

-2

c)

√2

d)

-√2

54.

sec π/2

a)

undef

b)

0

c)

1

d)

-1

55.

cot π/4

a)

-1

b)

-√3

c)

√3

d)

1

56.

Select ALL trig functions that use x-values

a)

sin

b)

cos

c)

tan

d)

cot

e)

sec

57.

sec π

a)

1

b)

-1

c)

0

d)

und

58.

sin 0

a)

0

b)

1

c)

-1

d)

und

59.

What is the value at cos 4π/3

a)

-√3/2

b)

√3/2

c)

1/2

d)

-1/2

60.

tan (-π)

a)

undefined

b)

0

c)

1

d)

-1

61.

tan 7π/4

a)

-1

b)

1

c)

√2/2

d)

undefined

62.

What quadrant is -2π/3 in?

a)

I

b)

II

c)

III

d)

IV

63.

What is the exact coordinates of $\frac{3\pi}{4}$ on the unit circle?

a)

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

b)

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

c)

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

d)

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

64.

tanθ is positive in

a)

the 1st and 2nd quadrants

b)

the 1st and 3rd quadrants

c)

the 1st and 4th quadrants

d)

the 2nd and 3rd quadrants

65.

Given the point (-12,5) on the triangle shown,

what is sin $\theta?$

a)

$\frac{-12}{13}$

b)

$\frac{5}{13}$

c)

$\frac{5}{-12}$

d)

$\frac{-12}{5}$

66.

Find the value of $\tan\theta$ given (-12,-5) is a point on the terminal side of angle $\theta$

a)

12/13

b)

-12/13

c)

-5/13

d)

5/12

67.

Find the value of $\cos\theta$ given (-3,4) is a point on the terminal side of angle $\theta$

a)

4/5

b)

-4/5

c)

3/5

d)

-3/5

68.

Find the value of $\sin\theta$ given (-3,4) is a point on the terminal side of angle $\theta$

a)

4/5

b)

-4/5

c)

3/5

d)

-3/5

Intro to Trig and Unit Circle Review

Total questions: 68

Worksheet time: 3hrs 24mins

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