Free Printable Module 8 Review

1.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

2.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

3.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

4.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

5.

What is the correct ratio?

a)

7/24

b)

24/7

c)

7/25

d)

24/25

6.

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

7.

Solve for the missing angle

a)

50.5 degrees

b)

12.7 degrees

c)

36.9 degrees

d)

72.2 degrees

8.

Solve for x. Round to the nearest tenth.

a)

15.3

b)

16.6

c)

24.1

d)

24.3

9.

Find the measure of the indicated angle (?) round to the nearest tenth.

a)

9.4

b)

55.2

c)

20.15

d)

19.4

10.

Solve for the misssing distance

a)

18.9 meters

b)

19.5 meters

c)

47.2 meters

d)

27.5 meters

11.

a)

7/24

b)

14/50

c)

48/41

d)

48/50

12.

In ∆ ABC, right-angled at B, AB = 24 cm, BC = 7 cm. The value of cos C is

a)

7/25

b)

1/5

c)

8/25

d)

2/5

13.

^{Find the length of the missing side}

a)

48

b)

108

c)

83.6

d)

72

14.

Find h

a)

35.60

b)

35.00

c)

35.71

d)

61.03

15.

You are on a ship at sea. You see a lighthouse in the distance. You know the lighthouse is 175 feet tall. You measure the angle of elevation to the top of the lighthouse at 5^o. How far are you from the bottom of the lighthouse?

a)

2000.3 feet

b)

2007.3 feet

c)

1997.9 feet

d)

2134.8 feet

16.

You are attacking an enemy castle. Your strategy is to go over the castle wall. You are 1500 meters away from the bottom of the wall. You measure the angle of elevation to the top of the wall at 3^o. How tall is the enemy castle wall?

a)

78.6 meters

b)

1498.0 meters

c)

78.5 meters

d)

75.3 meters

17.

cos 30 =

a)

0

b)

$\frac{1}{2}$

c)

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

d)

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

e)

1

18.

Match the following radian measure to the correct degree measure

a)

$\frac{\pi}{6}$

1.

30

b)

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

2.

45

c)

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

3.

60

d)

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

4.

90

19.

Match the following trig functions to the correct trig values

a)

$\frac{\ 1}{2}$

1.

sin(30)

b)

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

2.

sin(45)

c)

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

3.

sin(60)

d)

0

4.

sin(90)

20.

Match the following trig functions to the correct trig values

a)

$\frac{\ 1}{2}$

1.

cos(60)

b)

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

2.

cos(45)

c)

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

3.

cos(30)

d)

0

4.

cos(90)

21.

Match the following trig functions to the correct trig values

a)

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

1.

tan(30)

b)

1

2.

tan(45)

c)

$\sqrt{\ 3}$

3.

tan(60)

d)

undefined

4.

tan(90)

22.

Find the exact value of:

$Cos\left(\frac{\ 7\pi}{4}\right)$

a)

-1/2

b)

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

c)

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

d)

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

23.

Find the exact value of:

$Tan\left(\frac{\ 4\pi}{3}\right)$

a)

-1

b)

$\sqrt{\ 3}$

c)

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

d)

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

24.

Find the exact value of each trigonometric function:

\tan270\degree

a)

$0$

b)

Undefined

c)

$-1$

d)

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

25.

Find the exact value of each trigonometric function:

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

a)

$0$

b)

Undefined

c)

$-1$

d)

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

26.

Convert 150⁰ to radians

a)

5π/6

b)

3π/4

c)

7π/6

d)

2π/3

27.

What is 7π/4 radians in degrees?

a)

300

b)

135

c)

315

d)

45

28.

sin 7π/6

a)

1/2

b)

-1/2

c)

√3/2

d)

-√3/2

29.

tan (-π)

a)

undefined

b)

0

c)

1

d)

-1

30.

What quadrant is -2π/3 in?

a)

I

b)

II

c)

III

d)

IV

31.

What is the exact coordinates of 3π/4 on the unit circle?

a)

(−√2∕2, √2∕2)

b)

(−√2∕2, −√2∕2)

c)

(−√3∕2, −√2∕2)

d)

(√2∕2, −√2∕2)

32.

What is the radius of a unit circle?

a)

1

b)

2

c)

1/2

d)

0

33.

Match the following functions with graphs

a)

1.

y=sinx

b)

2.

y= cosx

c)

3.

y=x^2

34.

The function y=cos x is a continuous and periodic function. The period of the function is (a)

Choose from the below words

2π

3π

π

4π

5π

35.

What is the range of the function y=sin x ?

a)

range: $-1\le y\le0$

b)

range: $0\le y\le1$

c)

range: $-1\le y\le1$

d)

range: $-1\le x\le1$

36.

A trig function has an amplitude of 4 and a minimum value of 5. What is its maximum value?

a)

7

b)

9

c)

11

d)

13

37.

What is the equation of graph?

a)

y = sin 5x

b)

y = cos 5x

c)

y = 5 sin x

d)

y = 5 cos x

38.

What is the vertical shift?

a)

Down 1

b)

Down 5

c)

Down 3

d)

Down 4

39.

What is the equation of the graph?

a)

y = 2 cos x

b)

y = sin x

c)

y = 2 sin x

d)

y = sin 2x

40.

What is the equation of the graph?

a)

y = -2 cos x - 3

b)

y = 3 cos x - 2

c)

y = -7 cos x - 3

d)

y = -3 cos x - 4

41.

5. Write an equation for the cosine function with amplitude 3, period 2pi, phase shift of pi, and vertical shift of 5.

a)

y = 5cos(x - pi) + 3

b)

y = 3cos(x - pi) + 5

c)

y = 3cos(2x - pi) + 5

d)

y = 5cos(2x - pi) + 3

42.

6. What is the vertical shift for y = 4cos(¹/₂x +π) - 2?

a)

up 2

b)

left 2

c)

right 2

d)

down 2

43.

7. What is the phase shift for y = 4cos(¹/₂x +π) - 2?

a)

left pi/2

b)

right pi/2

c)

right 2pi

d)

left 2pi

44.

9. What is the amplitude for y = 4cos(¹/₂x +π) - 2?

a)

2

b)

pi/2

c)

pi

d)

4

45.

15. What is the amplitude and period of the function: y= 2/5sin9x

a)

Amplitude: 2/5 Period: 2π/9

b)

Amplitude: 2/5 Period: π/6

c)

Amplitude: 5/2 Period: 2π/9

d)

Amplitude: 5/2 Period: π/6

46.

Describe the horizontal and vertical shifts.

a)

left π , up 4

b)

left π , down 3

c)

right π , up 4

d)

right π , down 3

47.

Solve for the missing angle.

a)

15.5

b)

16.9

c)

18.5

d)

17.7

48.

Solve for the missing angle.

a)

22.2

b)

30

c)

33

d)

38

49.

Convert 100⁰ to radians

a)

5π/9

b)

π/2

c)

5π/8

d)

5π/6

50.

What is 7π/4 radians in degrees?

a)

300

b)

135

c)

315

d)

45

51.

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

a)

375°, -600°

b)

125°, -356°

c)

135°, -585°

d)

60°, -120°

52.

How many radians does a circle have?

a)

360 degrees

b)

2pi radians

c)

pi radians

d)

^{2 radians}

53.

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

a)

195

b)

525

c)

-525

d)

-195

54.

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

a)

540°, -120°

b)

600°, -120°

c)

425°, -240°

d)

120°, -135°

55.

Find a coterminal angle to 45 degrees.

a)

360

b)

405

c)

315

d)

295

56.

Find a coterminal angle to 0 degrees.

a)

360

b)

180

c)

90

d)

270

57.

Find a coterminal angle to -180 degrees.

a)

180

b)

90

c)

270

d)

360

58.

What is the reference angle for -310⁰?

a)

50⁰

b)

-50⁰

c)

20⁰

d)

40⁰

59.

What is the reference angle?

a)

163

b)

73

c)

27

d)

107

60.

What is the reference angle for 125°?

a)

235°

b)

125°

c)

75°

d)

55°

61.

Which of the following is a correct representation of the reference angle of $\theta=210\degree$

a)

b)

c)

d)

62.

Which of the following is a correct representation of the reference angle of $\theta=-150\degree$

a)

b)

c)

d)

63.

Find the reference angle.

a)

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

b)

$\frac{2\pi}{9}$

c)

$-\frac{5\pi}{18}$

d)

$\frac{5\pi}{18}$

64.

What is the reference angle for $\frac{2\pi}{3}$

a)

$\frac{\pi}{4}$

b)

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

c)

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

d)

$\frac{\pi}{3}$

65.

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

a)

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

b)

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

c)

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

d)

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

66.

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

a)

$\frac{\pi}{3}$

b)

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

c)

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

d)

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

67.

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

a)

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

b)

$\frac{\pi}{4}$

c)

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

d)

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

68.

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

a)

$\pi$

b)

$\frac{\pi}{2}$

c)

$3\pi$

d)

$2\pi$

69.

What is the reference angle?

a)

7

b)

63

c)

277

d)

97

70.

What is the reference angle?

a)

48

b)

138

c)

132

d)

42

71.

What is the reference angle?

a)

48

b)

138

c)

132

d)

42

72.

Which quadrant does -30° lie?

a)

I

b)

II

c)

III

d)

IV

73.

Which quadrant does 40° lie?

a)

I

b)

II

c)

III

d)

IV

74.

Which quadrant does 300° lie?

a)

I

b)

II

c)

III

d)

IV

Module 8 Review

Total questions: 74

Worksheet time: 3hrs 13mins

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