Free Printable Trigonometric Ratios (Sine, Cosine, Tangent)

1.

Which letter represents the HIPPOTENUSE?

a)

A

b)

B

c)

C

2.

Which letter represents the ADJACENT cathetus to angle a?

a)

A

b)

B

c)

C

3.

Which letter represents the OPPOSITE cathetus to angle a?

a)

A

b)

B

c)

C

4.

Find $\cos\ a=$

a)

$\frac{5}{13}$

b)

$\frac{7}{13}$

c)

$\frac{5}{7}$

d)

$\frac{13}{7}$

e)

$\frac{13}{5}$

5.

Find $\tan\ a=$

a)

$\frac{5}{13}$

b)

$\frac{7}{13}$

c)

$\frac{5}{7}$

d)

$\frac{13}{7}$

e)

$\frac{13}{5}$

6.

Find $\sin\ \theta=$

a)

$\frac{6}{10}$

b)

$\frac{6}{8}$

c)

$\frac{6}{12}$

d)

$\frac{6}{9}$

e)

$\frac{6}{11}$

7.

If $\sin\ \theta\ =\ \frac{12}{15}$ , what's the length of the OPPOSITE cathetus?

a)

12

b)

15

c)

10

d)

9

e)

11

8.

Which side is opposite angle x?

a)

1

b)

2

c)

3

9.

What is the measure of the hypotenuse?

a)

1

b)

2

c)

3

10.

What is the ratio for Cosine?

a)

Opp/Hyp

b)

Opp/Adj

c)

Adj/Opp

d)

Adj/Hyp

11.

What is the correct ratio?

a)

9/41

b)

40/41

c)

9/40

d)

40/9

12.

What is the correct ratio?

a)

7/24

b)

24/7

c)

7/25

d)

24/25

13.

What is the correct ratio?

a)

20/12

b)

12/20

c)

12/16

d)

16/12

14.

What is the correct ratio?

a)

6/10

b)

6/8

c)

8/10

d)

8/6

15.

What is the ratio for Sine?

a)

Hyp/Opp

b)

Opp/Hyp

c)

Opp/Adj

d)

Adj/Opp

16.

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

a)

Any triangle ever

b)

Non-right triangles only

c)

Right Triangles only

d)

Never

17.

What is the correct ratio?

a)

6/10

b)

6/8

c)

8/10

d)

8/6

18.

What is the ratio for Tangent

a)

Opp/Adj

b)

Adj/Opp

c)

Opp/Hyp

d)

Hyp/Opp

19.

Sin X

a)

¹⁵/₁₇

b)

⁸/₁₅

c)

¹⁷/₈

d)

¹⁵/₈

20.

Cos X

a)

⁸/₁₅

b)

¹⁷/₁₅

c)

¹⁵/₁₇

d)

⁸/₁₇

21.

Sin A

a)

²¹/₂₀

b)

²¹/₂₉

c)

²⁹/₂₁

d)

²⁰/₂₉

22.

Sin C

a)

²⁴/₃₀

b)

¹⁸/₃₀

c)

³⁰/₂₄

d)

³⁰/₁₈

23.

What is the ratio for Sine?

a)

$\frac{hyp}{opp}$

b)

$\frac{opp}{hyp}$

c)

$\frac{opp}{adj}$

d)

$\frac{adj}{opp}$

24.

What is the ratio for Cosine?

a)

$\frac{opp}{hyp}$

b)

$\frac{opp}{adj}$

c)

$\frac{adj}{opp}$

d)

$\frac{adj}{hyp}$

25.

What is the ratio for Tangent

a)

$\frac{opp}{hyp}$

b)

$\frac{adj}{opp}$

c)

$\frac{opp}{adj}$

d)

$\frac{hyp}{opp}$

26.

a)

A

b)

B

c)

C

d)

D

27.

a)

A

b)

B

c)

C

d)

D

28.

a)

$\frac{3}{4}$

b)

$\frac{4}{3}$

c)

$\frac{4}{5}$

d)

$\frac{3}{5}$

29.

a)

$\frac{7}{24}$

b)

$\frac{24}{25}$

c)

$\frac{7}{25}$

d)

$\frac{24}{7}$

30.

a)

$\frac{3}{4}$

b)

$\frac{3}{5}$

c)

$\frac{5}{4}$

d)

$\frac{5}{3}$

31.

Find CosA as a decimal rounded the the nearest ten-thousandth.

a)

.4706

b)

1.875

c)

.8824

d)

.5333

32.

Select the correct ratio for SinA

a)

$\frac{37}{35}$

b)

$\frac{12}{35}$

c)

$\frac{35}{37}$

d)

$\frac{12}{37}$

33.

Select the correct ratio for TanC

a)

$\frac{4}{3}$

b)

$\frac{3}{4}$

c)

$\frac{4}{5}$

d)

$\frac{3}{5}$

34.

Select the correct ratio for CosC

a)

$\frac{15}{17}$

b)

$\frac{8}{17}$

c)

$\frac{17}{15}$

d)

$\frac{15}{8}$

35.

Find CosZ as a decimal rounded the the nearest tenth.

a)

0.6

b)

0.8

c)

0.75

d)

1.33

36.

Find sinZ as a decimal rounded the the nearest ten- thousandth.

a)

.3846

b)

2.6

c)

1.0833

d)

2.4

37.

Find sinX as a decimal rounded the the nearest ten- thousandth.

a)

.9231

b)

.3846

c)

.4167

d)

2.4

38.

Cos X

a)

⁸/₁₅

b)

¹⁷/₁₅

c)

¹⁵/₁₇

d)

⁸/₁₇

39.

Sin X

a)

¹⁵/₁₇

b)

⁸/₁₅

c)

¹⁷/₈

d)

¹⁵/₈

40.

Tan X

a)

³⁰/₄₀

b)

³⁰/₅₀

c)

⁴⁰/₃₀

d)

⁴⁰/₅₀

41.

Sin X

a)

²⁰/₂₁

b)

²¹/₂₉

c)

²⁰/₂₉

d)

²⁹/₂₀

42.

Sin A

a)

²¹/₂₀

b)

²¹/₂₉

c)

²⁹/₂₁

d)

²⁰/₂₉

43.

Sin C

a)

²⁴/₃₀

b)

¹⁸/₃₀

c)

³⁰/₂₄

d)

³⁰/₁₈

44.

Sin Θ

a)

⁴/₅

b)

³/₄

c)

⁵/₄

d)

³/₅

45.

Cos D

a)

⁸/₆

b)

⁸/₁₀

c)

¹⁰/₆

d)

⁶/₁₀

46.

What is the ratio for Sine?

a)

Hyp/Opp

b)

Opp/Hyp

c)

Opp/Adj

d)

Adj/Opp

47.

What is the correct ratio for Cos C?

a)

⁹/₄₁

b)

⁴⁰/₄₁

c)

⁹/₄₁

d)

⁴⁰/₉

48.

What is the correct ratio for Tan Z?

a)

⁷/₂₄

b)

²⁴/₇

c)

⁷/₂₅

d)

²⁴/₂₅

49.

What is the correct ratio for Tan A?

a)

²⁰/₁₂

b)

¹²/₂₀

c)

¹²/₁₆

d)

¹⁶/₁₂

50.

What is adjacent to A?

a)

a

b)

b

c)

c

51.

What is adjacent to B?

a)

a

b)

b

c)

c

52.

Which is the opposite site of θ

a)

a

b)

b

c)

h

d)

none of them

53.

What is the ratio of sin θ

a)

$\frac{a}{h}$

b)

$\frac{b}{h}$

c)

$\frac{a}{b}$

d)

$\frac{h}{b}$

54.

Find the ratio of tan θ

a)

$\frac{a}{b}$

b)

$\frac{b}{a}$

c)

$\frac{a}{h}$

d)

$\frac{b}{h}$

55.

Which letter represents the ADJACENT side to angle a?

a)

A

b)

B

c)

C

56.

Which letter represents the HYPOTENUSE?

a)

A

b)

B

c)

C

57.

What is the length of the side opposite ∠X?

a)

16

b)

30

c)

34

58.

What type of triangle is the context of our study of trigonometry and Pythagorean Theorem?

a)

right triangle

b)

isosceles triangle

c)

scalene triangle

d)

acute triangle

59.

Which trigonometric function does not use the hypotenuse in its ratio?

a)

sine

b)

cosine

c)

tangent

d)

secant

60.

Find sin A.

a)

7/25

b)

24/7

c)

24/25

d)

7/24

61.

Find sin D.

a)

12/13

b)

5/13

c)

13/5

d)

13/12

62.

Find tan B.

a)

7/25

b)

24/7

c)

24/25

d)

7/24

63.

Which side is opposite to angle A?

a)

AC

b)

BC

c)

AB

64.

What is the ratio for cosine?

a)

opposite/hypotenuse

b)

adjacent/hypotenuse

c)

opposite/adjacent

d)

hypotenuse/adjacent

65.

Find tan(θ).

a)

tan(θ) = 5/13

b)

tan(θ) = 12/13

c)

tan(θ) = 12/5

d)

tan(θ) = 5/12

66.

What is the COSINE ratio of any angle in a right triangle

a)

$\frac{\text{adjacent}}{\text{hypotenuse}}$

b)

$\frac{\text{opposite}}{hypotenuse}$

c)

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

d)

$\frac{\text{hypotenuse}}{\text{opposite}}$

67.

What is the SINE ratio of any angle in a right triangle

a)

$\frac{\text{adjacent}}{\text{hypotenuse}}$

b)

$\frac{\text{opposite}}{hypotenuse}$

c)

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

d)

$\frac{\text{hypotenuse}}{\text{opposite}}$

68.

What is the TANGENT ratio of any angle in a right triangle

a)

$\frac{\text{adjacent}}{\text{hypotenuse}}$

b)

$\frac{\text{opposite}}{hypotenuse}$

c)

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

d)

$\frac{\text{hypotenuse}}{\text{opposite}}$

69.

Which of the following is the correct acronym to help remember the three trigonometric ratios

a)

SOH COH TOA

b)

SAH COH TOA

c)

SOH CAH TOH

d)

SOH CAH TOA

70.

What is sin(A) ?

a)

$\frac{12}{37}$

b)

$\frac{12}{35}$

c)

$\frac{35}{37}$

d)

$\frac{35}{12}$

71.

For the triangle shown, name the hypotenuse.

a)

AB

b)

AC

c)

BC

72.

For the triangle shown, name the opposite side of θ.

a)

KL

b)

LM

c)

KM

73.

For the triangle shown, name the adjacent side of θ.

a)

PR

b)

QR

c)

PQ

74.

Find cosA.

a)

A

b)

B

c)

C

d)

D

75.

Find sinX.

a)

A

b)

B

c)

C

d)

D

76.

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

a)

Any triangle ever

b)

Non-right triangles only

c)

Right Triangles only

d)

Never

77.

sin A = ?

a)

7/25

b)

24/25

c)

7/24

d)

25/7

78.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

79.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

80.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

81.

Which trigonometric ratio you would use to find side AB?

a)

Sin 60 = 10/AB

b)

Sin 60 = AB /10

c)

Cos 60 = 10 / AB
Cos 60 = 10 /AB

d)

tan 60 = AB /10

82.

Which trigonometric ratio you should use to find the height(h)?

a)

sin 60 = h/1000

b)

cos 60 = h / 1000

c)

cos 60 = 1000/h

d)

tan 60 = h / 1000

83.

Find the ratio for sinA. (Reduce the fraction)

a)

36/27

b)

4/5

c)

36/45

d)

3/5

84.

Choose the correct ratio.

a)

cos(33)=x/14

b)

sin(33)=x/14

c)

cos(33)=14/x

d)

sin(33)=14/x

85.

Solve for x.

a)

24.20

b)

4.92

c)

290.4

d)

29.75

86.

$\cos\theta=$

a)

$\frac{opposite}{hypotenuse}$

b)

$\frac{hypotenuse}{adjacent}$

c)

$\frac{adjacent}{hypotenuse}$

d)

$\frac{opposite}{adjacent}$

87.

Which is the correct ratio for the sine ratio?

a)

$\frac{adjacent\ }{hypotenuse}$

b)

$\frac{opposite\ }{hypotenuse}$

c)

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

d)

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

88.

Which is the correct ratio for the cosine ratio?

a)

$\frac{adjacent\ }{hypotenuse}$

b)

$\frac{opposite\ }{hypotenuse}$

c)

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

d)

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

89.

Which is the correct ratio for the tangent ratio?

a)

$\frac{adjacent\ }{hypotenuse}$

b)

$\frac{opposite\ }{hypotenuse}$

c)

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

d)

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

90.

What side is opposite $\angle$ J?

a)

9

b)

40

c)

41

d)

none

91.

What side is adjacent to $\angle$ J?

a)

9

b)

40

c)

41

d)

none

92.

What side is the hypotenuse of the triangle?

a)

9

b)

40

c)

41

d)

none

93.

What is $\cos A$ ?

a)

$\frac{29}{20}$

b)

$\frac{21}{29}$

c)

$\frac{20}{29}$

d)

$\frac{21}{20}$

94.

Select the correct ratio for SinA

a)

$\frac{37}{35}$

b)

$\frac{12}{35}$

c)

$\frac{35}{37}$

d)

$\frac{12}{37}$

95.

cos______ = $\frac{40}{50}$

a)

A

b)

B

c)

C

96.

sin _____ = $\frac{16}{34}$

a)

X

b)

Y

c)

Z

97.

What is sin(A) ?

a)

$\frac{12}{37}$

b)

$\frac{12}{35}$

c)

$\frac{35}{37}$

d)

$\frac{35}{12}$

98.

What is the TANGENT ratio of any angle in a right triangle

a)

$\frac{\text{adjacent}}{\text{hypotenuse}}$

b)

$\frac{\text{opposite}}{hypotenuse}$

c)

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

d)

$\frac{\text{hypotenuse}}{\text{opposite}}$

99.

What is the COSINE ratio of any angle in a right triangle

a)

$\frac{\text{adjacent}}{\text{hypotenuse}}$

b)

$\frac{\text{opposite}}{hypotenuse}$

c)

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

d)

$\frac{\text{hypotenuse}}{\text{opposite}}$

100.

What is the SINE ratio of any angle in a right triangle

a)

$\frac{\text{adjacent}}{\text{hypotenuse}}$

b)

$\frac{\text{opposite}}{hypotenuse}$

c)

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

d)

$\frac{\text{hypotenuse}}{\text{opposite}}$

Trigonometric Ratios (Sine, Cosine, Tangent)

Total questions: 100

Worksheet time: 8hrs 36mins

Similar Resources on Wayground