Free Printable TRIGONOMETRIC RATIOS

1.

What is the ratio for Sine?

a)

Hyp/Opp

b)

Opp/Hyp

c)

Opp/Adj

d)

Adj/Opp

2.

What is the ratio for Cosine?

a)

Opp/Hyp

b)

Opp/Adj

c)

Adj/Opp

d)

Adj/Hyp

3.

What side is considered the hypotenuse?

a)

The shortest side

b)

the side opposite the smallest angle

c)

the side opposite the right angle

d)

the side opposite the shortest leg

4.

What is the length of the hypotenuse side?

a)

8

b)

15

c)

17

5.

What is the length of the adjacent side?

a)

8

b)

15

c)

17

6.

What is the length of the opposite side?

a)

8

b)

15

c)

17

7.

Choose the correct ratio.

a)

cos(33)=x/14

b)

sin(33)=x/14

c)

cos(33)=14/x

d)

sin(33)=14/x

8.

a)

A

b)

B

c)

C

d)

D

9.

cos 87

a)

.05

b)

.569

c)

.0523

d)

.5700

10.

tan 51

a)

1.2349

b)

.9030

c)

.9

d)

1.23

11.

sin 8

a)

.2011

b)

.1987

c)

.3456

d)

.1391

12.

What is the correct equation to solve for x ?

a)

tan( 46 ) = 17/x

b)

sin ( 46 ) = x/17

c)

tan (46 ) = x/17

d)

cos (46) = x/17

13.

What is the correct equation to solve for x ?

a)

tan (58) = x/11

b)

tan (58) = 11/x

c)

cos (58) = x/11

d)

sin (58) = x/11

14.

What is the correct equation to solve for x?

a)

tan (45) = x/13

b)

cos (45) = x/13

c)

sin (45) = 13/x

d)

sin (45) = x/13

15.

Identify the trig ratio that may be used to find the marked unknown side.

a)

$Sin\ 38\degree\ =\ \frac{h}{15}$

b)

$Sin\ 38\degree\ =\ \frac{15}{h}$

c)

$Cos\ 38\degree\ =\ \frac{15}{h}$

d)

$Tan\ 38\degree=\ \frac{h}{15}$

16.

Identify the trig ratio that may be used to find the marked unknown side.

a)

$Sin\ 29\degree=\frac{x}{91}$

b)

$Tan\ 29\degree\ =\ \frac{91}{x}$

c)

$Cos\ 29\degree\ =\ \frac{x}{91}$

d)

$Tan\ 29\degree=\ \frac{x}{91}$

17.

Identify the trig ratio that may be used to find the marked unknown angle.

a)

$Sin\ y\degree=\frac{12}{18}$

b)

$Cos\ y\degree\ =\ \frac{18}{12}$

c)

$Cos\ y\degree\ =\ \frac{12}{18}$

d)

$Tan\ y\degree=\ \frac{12}{18}$

18.

Identify the trig ratio that may be used to find the marked unknown side.

a)

$Sin\ 38\degree=\frac{w}{15}$

b)

$Cos\ 38\degree\ =\ \frac{15}{w}$

c)

$Tan\ 38\degree\ =\ \frac{w}{15}$

d)

$Sin\ 38\degree=\ \frac{15}{w}$

19.

Use inverse trig ratios (SOH CAH TOA) to solve for the missing angle

a)

49°

b)

57°

c)

45°

d)

54°

20.

Find side AB?

a)

20 m

b)

5 m

c)

11.54 m

d)

8.66 m

21.

Find the length of side w.

a)

21.4 cm

b)

18.0 cm

c)

36.5 cm

d)

43.6 cm

22.

Solve for x.

a)

24.20

b)

4.92

c)

290.4

d)

29.75

23.

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

a)

9.4

b)

55.2

c)

20.15

d)

19.4

24.

Solve for the misssing distance

a)

18.9

b)

19.5

c)

47

d)

27.5

25.

Solve for x.

a)

10

b)

11.3

c)

12.0

d)

15.0

26.

Solve for the missing angle

a)

32°

b)

44°

c)

61°

d)

50°

27.

Solve for x.

a)

50.7

b)

50.1

c)

60.7

d)

61.0

28.

Solve for the missing angle.

a)

50.5 degrees

b)

12.7 degrees

c)

36.9 degrees

d)

72.2 degrees

29.

Find the length of side W?
sin 68 = 70/w

a)

186.86 m

b)

75.50 m

c)

28.28 m

d)

.01 m

30.

Find x.

a)

42.9

b)

21

c)

33.3

d)

21.9

31.

a)

A

b)

B

c)

C

d)

D

e)

none of the above

32.

a)

A

b)

B

c)

C

d)

D

e)

none of the above

33.

a)

A

b)

B

c)

C

d)

D

e)

none of the above

34.

a)

A

b)

B

c)

C

d)

D

e)

none of the above

35.

a)

A

b)

B

c)

C

d)

D

e)

none of the above

36.

Which one is the easy way to remember trigonometric ratios?

a)

Sah Coh Toa

b)

Soh Cah Toa

c)

Soh Cah Tao

d)

Soh Cah Toh

e)

Sah Coa Toh

37.

a)

A

b)

B

c)

C

d)

D

e)

none of the above

38.

If you are given the hypotenuse and an adjacent side, which trigonometric function should you use to find the angle?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

e)

Pythagorean theorem

39.

Find Cos(A) as a decimal rounded the the nearest ten-thousandth.

a)

.4706

b)

1.875

c)

.8824

d)

.5333

e)

61.92

40.

Solve for x. Round to the nearest tenth.

a)

103.5

b)

4.7

c)

55.0

d)

23.4

e)

4.8

41.

Which is the calculator ready form to solve this problem for x?

a)

22 Tan (12)

b)

12 tan (22)

c)

tan(12) / 22

d)

22/ tan (12)

e)

none of the above

42.

Solve for x. Round to the nearest tenth.

a)

9.8

b)

0.1

c)

0.038

d)

9.9

e)

24.9

43.

If you are given the hypotenuse and an adjacent side, which should you use to find the the other side length?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

e)

Pythagorean theorem

44.

From ∠C, what side is AB?

a)

Adjacent

b)

Hypotenuse

c)

Opposite

d)

Vertical

e)

Supplementary

45.

Give the Ratio for SIN X

a)

opp/adj

b)

adj/hyp

c)

opp/hyp

d)

adj/opp

e)

hyp/adj

46.

Give the Ratio for TAN X

a)

Adj/Opp

b)

Opp/Adj

c)

Adj/Hyp

d)

Opp/Hyp

e)

Hyp/Opp

47.

Give the Ratio for COS X

a)

Adj/Hyp

b)

Opp/Adj

c)

Adj/Opp

d)

Opp/Hyp

e)

Hyp/Adj

48.

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

a)

Any triangle ever

b)

Non-right triangles only

c)

Right Triangles only

d)

Never

e)

Classifying Triangles

49.

Based on the diagram, choose all the statements that are true.

a)

b)

c)

d)

e)

50.

Set up the problem...

a)

sin X = 41/28

b)

tan X = 41/28

c)

cos X = 28/41

d)

sin X = 28/41

e)

tan X = 28/41

51.

Right triangle ABC is shown below. Which equation gives the correct value for BC?

a)

b)

c)

d)

e)

Not enough information to solve BC

52.

Find Tan A

a)

21/20

b)

29/20

c)

21/29

d)

20/21

e)

20/29

53.

Find Sin C

a)

21/20

b)

20/29

c)

21/29

d)

20/21

e)

29/20

54.

Tan C

a)

27/45

b)

36/27

c)

36/45

d)

27/36

e)

Not enough information

55.

Which trigonometric ratios are correct?

a)

cos C= adj/hyp

b)

sin C= adj/hyp

c)

tan C= adj/hyp

d)

tan C=adj/opp

e)

tan C= opp/adj

56.

Find the trig value rounded to the nearest ten-thousandth.

Tan(42°)

a)

.9004

b)

.8123

c)

88.6361

d)

42

e)

.81233

57.

Choose the correct ratio.

a)

cos(33)=x/14

b)

sin(33)=x/14

c)

cos(33)=14/x

d)

sin(33)=14/x

e)

tan(33)=14/x

58.

Choose the correct ratio. Check all that apply:

a)

sinZ=5/13

b)

sinX=5/13

c)

cosX=13/12

d)

tanZ=12/5

e)

tanZ=5/12

59.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

e)

cos(37)=14/x

60.

What equation can be used to solve for x?

a)

Sin(40°)= x/40

b)

Sin(40º)=x/19

c)

Cos(40º)=x/19

d)

Tan(40°)=19/x

e)

Cos(40º)=19/x

61.

Choose the correct ratio.

a)

cos(33)=x/14

b)

sin(33)=x/14

c)

cos(33)=14/x

d)

sin(33)=14/x

e)

tan(33)=x/14

62.

What is sin(B)?

a)

a/c

b)

b/c

c)

a/b

d)

b/a

e)

c/a

63.

What is cos(B)?

a)

a/c

b)

b/c

c)

a/b

d)

b/a

e)

c/a

64.

John leaves school to go home. He walks 6 blocks North and then 8 blocks west. How far is John from the school?

a)

14 blocks

b)

12 blocks

c)

10 blocks

d)

8.5 blocks

e)

28 blocks

65.

Find the measure of the missing angle.

a)

49^o

b)

50^o

c)

41^o

d)

33^o

e)

57^o

66.

$\sin30\degree=$

a)

$\frac{1}{2}$

b)

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

c)

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

d)

$\sqrt{3}$

67.

$\cos60\degree=$

a)

$\frac{1}{2}$

b)

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

c)

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

d)

$\sqrt{3}$

68.

$\sin60\degree=$

a)

$\frac{1}{2}$

b)

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

c)

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

d)

$\sqrt{3}$

69.

$\cos30\degree=$

a)

$\frac{1}{2}$

b)

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

c)

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

d)

$\sqrt{3}$

70.

$\tan30\degree=$

a)

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

b)

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

c)

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

d)

$\sqrt{3}$

71.

$\tan60\degree=$

a)

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

b)

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

c)

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

d)

$\sqrt{3}$

72.

$\tan45\degree=$

a)

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

b)

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

c)

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

d)

$1$

73.

$\cos45\degree=$

a)

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

b)

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

c)

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

d)

$1$

74.

$\sin45\degree=$

a)

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

b)

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

c)

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

d)

$1$

75.

What is the value of x?

a)

$6$

b)

$2\sqrt{12}$

c)

$24$

d)

$12\sqrt{3}$

76.

What is the value of y?

a)

$6$

b)

$2\sqrt{6}$

c)

$24$

d)

$24\sqrt{3}$

77.

What is the exact value of $\csc\ 30\degree$

a)

$2$

b)

$1$

c)

$\sqrt{2}$

d)

$\sqrt{3}$

78.

What is the exact value of $\csc\ 60\degree$

a)

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

b)

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

c)

$\sqrt{2}$

d)

$\sqrt{3}$

79.

What is the exact value of $\sec\ 30\degree$

a)

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

b)

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

c)

$\sqrt{2}$

d)

$\sqrt{3}$

80.

What is the exact value of $\sec\ 45\degree$

a)

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

b)

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

c)

$\sqrt{2}$

d)

$\sqrt{3}$

81.

What is the exact value of $\cot\ 45\degree$

a)

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

b)

$1$

c)

$2$

d)

$\sqrt{3}$

82.

What is the exact value of $\cot\ 30\degree$

a)

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

b)

$\sqrt{2}$

c)

$2$

d)

$\sqrt{3}$

83.

What is the exact value of $\cot\ 60\degree$

a)

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

b)

$\sqrt{2}$

c)

$2$

d)

$1$

84.

What is the exact value of $\sec\ 60\degree$

a)

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

b)

$\sqrt{2}$

c)

$2$

d)

$1$

85.

What is the exact value of $\csc\ 45\degree$

a)

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

b)

$\sqrt{2}$

c)

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

d)

$1$

86.

What is the exact value of $\sin\ 45\degree$

a)

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

b)

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

c)

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

d)

$1$

87.

What is the exact value of $\cos\ 45\degree$

a)

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

b)

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

c)

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

d)

$1$

88.

What is the exact value of $\tan\ 45\degree$

a)

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

b)

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

c)

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

d)

$1$

89.

What is the exact value of $\tan\ 60\degree$

a)

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

b)

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

c)

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

d)

$\sqrt{3}$

90.

What is the exact value of $\tan\ 30\degree$

a)

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

b)

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

c)

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

d)

$\sqrt{3}$

91.

What is the exact value of $\cos\ 30\degree$

a)

$\frac{1}{2}$

b)

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

c)

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

d)

$\sqrt{3}$

92.

What is the exact value of $\sin\ 60\degree$

a)

$\frac{1}{2}$

b)

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

c)

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

d)

$\sqrt{3}$

93.

What is the exact value of $\cos\ 60\degree$

a)

$\frac{1}{2}$

b)

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

c)

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

d)

$\sqrt{3}$

94.

What is the ratio for Sine?

a)

Hyp/Opp

b)

Opp/Hyp

c)

Opp/Adj

d)

Adj/Opp

95.

What is the ratio for Tangent

a)

Opp/Adj

b)

Adj/Opp

c)

Opp/Hyp

d)

Hyp/Opp

96.

What is the ratio for Cosine?

a)

Opp/Hyp

b)

Opp/Adj

c)

Adj/Opp

d)

Adj/Hyp

97.

What is the correct ratio?

a)

9/41

b)

40/41

c)

9/40

d)

40/9

98.

What is the correct ratio?

a)

7/24

b)

24/7

c)

7/25

d)

24/25

99.

What is the correct ratio?

a)

20/12

b)

12/20

c)

12/16

d)

16/12

100.

What is the correct ratio?

a)

6/10

b)

6/8

c)

8/10

d)

8/6

101.

What is the correct equation to solve for x ?

a)

tan( 46 ) = 17/x

b)

sin ( 46 ) = x/17

c)

tan (46 ) = x/17

d)

cos (46) = x/17

102.

What is the correct equation to solve for x ?

a)

tan (58) = x/11

b)

tan (58) = 11/x

c)

cos (58) = x/11

d)

sin (58) = x/11

103.

What is the correct equation to solve for x?

a)

tan (45) = x/13

b)

cos (45) = x/13

c)

sin (45) = 13/x

d)

sin (45) = x/13

104.

Find side AB?

a)

20 m

b)

5 m

c)

11.54 m

d)

8.66 m

105.

Find cosC

a)

16/34

b)

16/30

c)

30/34

d)

34/16

106.

If you are given the opposite side and hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

107.

If you are given the two sides that are not the hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

108.

If you are given 2 of the sides to an obtuse triangle, which trig function should you use to find the other side?

a)

sine

b)

cosine

c)

tangent

d)

You can only use trig functions on right triangles.

109.

If you are given the hypotenuse and an adjacent side, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

110.

What is the ratio for sin (Z)?

a)

24/32

b)

32/24

c)

32/40

d)

24/40

111.

What is the ratio for sin(C)?

a)

14/48

b)

48/50

c)

14/50

d)

48/14

112.

What is the ratio for tan(C)?

a)

27/36

b)

27/45

c)

45/36

d)

45/27

113.

What is an easy way to remember trigonometric ratios?

a)

SAH COH TOA

b)

SOH CAH TOA

c)

SOH CAH TAO

d)

SOH CEH TOA

114.

Choose the correct ratio.

a)

cos(33)= $\frac{x}{14}$

b)

sin(33)= $\frac{x}{14}$

c)

cos(33)= $\frac{14}{x}$

d)

sin(33)= $\frac{14}{x}$

115.

Choose the correct ratio.

a)

sinZ= $\frac{5}{13}$

b)

sinX= $\frac{5}{13}$

c)

cosX= $\frac{13}{12}$

d)

tanZ= $\frac{12}{5}$

116.

Choose the correct ratio.

a)

sin(37)= $\frac{x}{14}$

b)

cos(37)= $\frac{x}{14}$

c)

tan(37)= $\frac{x}{14}$

d)

sin(37)= $\frac{14}{x}$

117.

If you are given the hypotenuse and an adjacent side, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

118.

If you are given the opposite side and hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

119.

If you are given the two sides that are not the hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

120.

If you are given 2 of the sides to an obtuse triangle, which trig function should you use to find the other side?

a)

sine

b)

cosine

c)

tangent

d)

You can only use trig functions on right triangles.

121.

Find Cos(A) rounded to three decimal places

a)

0.471

b)

1.875

c)

0.882

d)

0.533

122.

Which trig function would you use to solve for x?

a)

$\sin40=\frac{x}{19}$

b)

$\cos40=\frac{x}{19}$

c)

$\tan40=\frac{x}{19}$

123.

Which trig function would you use to solve for x?

a)

$\sin37=\frac{11}{x}$

b)

$\cos37=\frac{11}{x}$

c)

$\tan37=\frac{11}{x}$

124.

What equation can be used to solve for x?

a)

Sin(40°)= $\frac{x}{40}$

b)

Sin(40º)= $\frac{x}{19}$

c)

Cos(40º)= $\frac{x}{19}$

d)

Tan(40°)= $\frac{19}{x}$

125.

Find x, round to one decimal place.

a)

46.1

b)

4.9

c)

16.4

d)

26.9

126.

Which is the correct ratio for the sine ratio?

a)

$\frac{adjacent\ }{hypotenuse}$

b)

$\frac{opposite\ }{hypotenuse}$

c)

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

d)

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

127.

Which is the correct ratio for the cosine ratio?

a)

$\frac{adjacent\ }{hypotenuse}$

b)

$\frac{opposite\ }{hypotenuse}$

c)

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

d)

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

128.

Which is the correct ratio for the tangent ratio?

a)

$\frac{adjacent\ }{hypotenuse}$

b)

$\frac{opposite\ }{hypotenuse}$

c)

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

d)

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

129.

What is $\cos A$ ?

a)

$\frac{29}{20}$

b)

$\frac{21}{29}$

c)

$\frac{20}{29}$

d)

$\frac{21}{20}$

130.

What is $\tan A$ ?

a)

$\frac{29}{20}$

b)

$\frac{21}{29}$

c)

$\frac{20}{29}$

d)

$\frac{21}{20}$

131.

What is $\tan\ C$ ?

a)

$\frac{20}{21}$

b)

$\frac{21}{29}$

c)

$\frac{20}{29}$

d)

$\frac{21}{20}$

132.

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

a)

A

b)

B

c)

C

133.

tan_____ = $\frac{30}{16}$

a)

X

b)

Y

c)

Z

134.

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

a)

X

b)

Y

c)

Z

135.

What is the size of the missing angle?

a)

32°

b)

44°

c)

61°

d)

50°

136.

What is the size of the missing angle?

a)

64^o

b)

26^o

c)

61^o

d)

.008^o

137.

Choose the correct equation to calculate $x\degree$

a)

sin^-1(9/20)

b)

cos^-1(9/20)

c)

tan^-1(9/20)

d)

cos^-1(20/9)

138.

Choose the correct equation to calculate x°

a)

sin^-1(12/29)

b)

cos^-1(12/29)

c)

tan^-1(12/29)

d)

tan^-1(29/12)

139.

Solve for x.

a)

24.20

b)

4.92

c)

290.4

d)

29.75

140.

Use the following triangle to find the ratio for sinP

a)

$\frac{5}{12}$

b)

$\frac{12}{13}$

c)

$\frac{12}{5}$

d)

$\frac{13}{5}$

e)

$\frac{13}{12}$

141.

Use the following triangle to find the ratio for tanO

a)

$\frac{5}{12}$

b)

$\frac{12}{13}$

c)

$\frac{5}{13}$

d)

$\frac{13}{5}$

e)

$\frac{13}{12}$

142.

Use the triangle to find the ratio of cosP

(a)

143.

Use the triangle to find the ratio of secO

(a)

144.

Use the triangle to find the ratio of cotO

(a)

145.

Use the triangle to find the ratio of secP

a)

$\frac{5}{12}$

b)

$\frac{12}{13}$

c)

$\frac{12}{5}$

d)

$\frac{13}{5}$

e)

$\frac{13}{12}$

146.

Use the triangle to find the ratio for cscP

a)

$\frac{5}{12}$

b)

$\frac{12}{13}$

c)

$\frac{12}{5}$

d)

$\frac{13}{5}$

e)

$\frac{13}{12}$

147.

Given $\sin A=\frac{3}{5}$ and that angle A is in Quadrant I, find the exact value for $\cos A$

a)

$\frac{3}{5}$

b)

$\frac{4}{5}$

c)

$\frac{4}{3}$

d)

$\frac{5}{3}$

e)

$\frac{5}{4}$

148.

Given $\tan A=\frac{3}{4}$ and that angle A is in Quadrant I, find the exact value for $\sin A$

a)

$\frac{3}{5}$

b)

$\frac{4}{5}$

c)

$\frac{4}{3}$

d)

$\frac{5}{3}$

e)

$\frac{5}{4}$

149.

Given $\tan A=\frac{3}{4}$ and that angle A is in Quadrant I, find the exact value for $\csc A$

(a)

150.

Which side is adjacent to angle x?

a)

1

b)

2

c)

3

151.

If you are given the opposite side and hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

152.

Which function is the reciprocal function of the cosine?

a)

sine

b)

cosecant

c)

secant

d)

tangent

153.

What is $\cos A$ ?

a)

$\frac{29}{20}$

b)

$\frac{21}{29}$

c)

$\frac{20}{29}$

d)

$\frac{21}{20}$

154.

what is sec(θ)

a)

12 / 13

b)

5 / 15

c)

15/ 5

d)

13 / 12

155.

What is the value of csc(a)?

HINT: cosecant is the reciprocal of sine

a)

3/4

b)

5/3

c)

3/5

d)

5/4

156.

What is csc(T)?

a)

24/7

b)

7/25

c)

24/25

d)

25/7

157.

What is cot(T)?

a)

7/24

b)

25/7

c)

25/24

d)

24/7

158.

Solve for the missing angle

a)

50

b)

0.053

c)

36.9

d)

95

159.

Solve for the misssing distance

a)

18.9

b)

19.5

c)

47

d)

27.5

160.

Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.

a)

63 ft

b)

65 ft

c)

74 ft

d)

87 ft

161.

Which Trig function do you use?

a)

Sine

b)

Cosine

c)

Tangent

162.

A ramp is being built next to a 4-inch high sidewalk. The ramps angle of inclination is 10 degrees. Estimate the length of the ramp to the nearest tenth of an inch.

a)

4.1 inches

b)

3.9 inches

c)

22.7 inches

d)

0.7 inches

163.

A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree. The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse?

a)

7.5 ft

b)

15 ft

c)

26 ft

d)

30 ft

164.

If you are standing 30 ft away from a 22 foot tree, what is the angle of elevation from where you are standing to the top of the tree.

a)

71.9 degrees

b)

48.1 degrees

c)

523.7 degrees

d)

36.3 degrees

165.

a)

A

b)

B

c)

C

d)

D

166.

a)

A

b)

B

c)

C

d)

D

167.

a)

A

b)

B

c)

C

d)

D

168.

a)

A

b)

B

c)

C

d)

D

169.

Find a coterminal angle to 5°.

a)

365°

b)

255°

c)

-220°

d)

-365°

170.

In what quadrant is -285°?

a)

I

b)

II

c)

III

d)

IV

171.

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

a)

540°, -120°

b)

600°, -120°

c)

425°, -240°

d)

120°, -135°

172.

What is the reference angle for -30°?

a)

150°

b)

30°

c)

80°

d)

60°

173.

What is the reference angle for 63°?

a)

117°

b)

207°

c)

63°

d)

153°

174.

Find the reference angle for an angle measuring -300⁰

a)

60⁰

b)

-60⁰

c)

30⁰

d)

45⁰

175.

What is the reference angle for 240 degrees?

a)

60 degrees

b)

30 degrees

c)

45 degrees

d)

210 degrees

176.

Find a coterminal angle to -180 degrees.

a)

180

b)

90

c)

270

d)

360

177.

Which quadrant is -570⁰

a)

I

b)

II

c)

III

d)

IV

178.

Find a coterminal angle to 200 degrees.

a)

-520

b)

-200

c)

160

d)

-380

179.

What is the reference angle for 240 degrees?

a)

60 degrees

b)

30 degrees

c)

45 degrees

d)

210 degrees

180.

What is the ratio for Sine?

a)

$\frac{hyp}{opp}$

b)

$\frac{opp}{hyp}$

c)

$\frac{opp}{adj}$

d)

$\frac{adj}{opp}$

181.

What is the ratio for Cosine?

a)

$\frac{opp}{hyp}$

b)

$\frac{opp}{adj}$

c)

$\frac{adj}{opp}$

d)

$\frac{adj}{hyp}$

182.

What is the ratio for Tangent

a)

$\frac{opp}{hyp}$

b)

$\frac{adj}{opp}$

c)

$\frac{opp}{adj}$

d)

$\frac{hyp}{opp}$

183.

Which side is adjacent to angle x?

a)

1

b)

2

c)

3

184.

Which side is opposite angle x?

a)

1

b)

2

c)

3

185.

Which side is the hypotenuse?

a)

1

b)

2

c)

3

186.

Which trig function would you use to solve for x?

a)

$\sin40=\frac{x}{19}$

b)

$\cos40=\frac{x}{19}$

c)

$\tan40=\frac{x}{19}$

187.

Which trig function would you use to solve for x?

a)

$\sin37=\frac{11}{x}$

b)

$\cos37=\frac{11}{x}$

c)

$\tan37=\frac{11}{x}$

188.

Solve for x. Round to the nearest tenth.

a)

103.5

b)

4.7

c)

55.0

d)

23.4

189.

Solve for x. Round to the nearest tenth.

a)

9.8

b)

0.1

c)

0.038

d)

9.9

190.

Select the correct ratio for SinA

a)

$\frac{37}{35}$

b)

$\frac{12}{35}$

c)

$\frac{35}{37}$

d)

$\frac{12}{37}$

191.

Select the correct ratio for TanC

a)

$\frac{20}{15}$

b)

$\frac{15}{20}$

c)

$\frac{20}{25}$

d)

$\frac{15}{25}$

192.

Which one is the easy way to remember trigonometric ratios?

a)

Sah Coh Toa

b)

Soh Cah Toa

c)

Soh Cah Tao

d)

Soh Ceh Toa

193.

If you are given the two sides that are not the hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

194.

If you are given the opposite side and hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

195.

If you are given the hypotenuse and an adjacent side, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

196.

a)

A

b)

B

c)

C

d)

D

197.

a)

A

b)

B

c)

C

d)

D

198.

a)

A

b)

B

c)

C

d)

D

199.

Which trig function do you use?

a)

Sine

b)

Cosine

c)

Tangent

200.

Which trig function do you use?

a)

Sine

b)

Cosine

c)

Tangent

201.

Find the measure of the missing angle.

a)

28.1

b)

61.9

c)

25.2

d)

56.1

202.

Find the measure of the missing angle.

a)

70.8

b)

19.2

c)

43.4

d)

26.2

203.

Solve for m∠N

a)

14

b)

65

c)

76

d)

53

204.

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

a)

9.4

b)

55.2

c)

20.15

d)

19.4

205.

Use inverse trig ratios (SOH CAH TOA) to solve for the missing angle

a)

32°

b)

44°

c)

61°

d)

50°

206.

Use inverse trig ratios (SOH CAH TOA) to solve for the missing angle

a)

33°

b)

49°

c)

39°

d)

41°

207.

Find the measure of the missing angle.

a)

49^o

b)

50^o

c)

41^o

d)

33^o

208.

Solve for the missing angle.

a)

50.5 degrees

b)

12.7 degrees

c)

36.9 degrees

d)

72.2 degrees

209.

Find x round to the nearest tenth.

a)

46.1

b)

4.9

c)

16.4

d)

26.9

210.

Find the length of the missing side x...

Round your answer to 1 decimal place.

a)

3.8 cm

b)

28.8 cm

c)

3.9 cm

d)

3.6 cm

211.

A 13 ft. ladder is leaning against the house. The top of the ladder touches the house at 10 feet above the ground. How far away is the bottom of the ladder from the house?

a)

10 feet

b)

7.5 feet

c)

8.3 feet

d)

3.8 feet

212.

Identify the formula used to solve for the hypotenuse?

a)

a²+b²=c²

b)

a+b=c

c)

a²-b²=c²

d)

c-a=c

213.

What kind of triangles does the Pythagorean Theorem work with?

a)

Right

b)

Left

c)

Isosceles

d)

Equilateral

214.

Calculate the length of x?

a)

5

b)

7

c)

8

d)

25

215.

What is the longest side of a right triangle called?

a)

Leg A

b)

Leg B

c)

Hypotenuse

d)

Pythagoras' Big Buddy

216.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

217.

Calculate the length of x?

a)

5.7

b)

10.6

c)

20

d)

400

218.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

219.

solve for c

a)

7

b)

9

c)

4

d)

13

220.

a)

The diagonal is 26 ft

b)

The diagonal is 31 ft

c)

The diagonal is 21.8 ft

d)

The diagonal is 20.9 ft

221.

what is the formula for finding the hypotnuse?

a)

a²⁺b²=c²

b)

a+b=c

c)

a-b=c

d)

c-a=c

222.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

223.

Find the length of the missing side.

a)

48 in.

b)

52 in.

c)

16 in.

d)

24 in.

224.

a² + b² = c^{2
a = 9 b = 40}

a)

c = 41

b)

c = 65

c)

c = 25

d)

c = 5

225.

a² + b² = c^{2
b = 35 c = 37}

a)

a = 12

b)

a = 11

c)

a = 18

d)

a = 14

226.

side a on a right triangle is ALWAYS the longest side

a)

true

b)

false

227.

Level 1

The Pythagorean Theorem is

a² + b²+ c²

a)

false

b)

true

228.

What is a right triangle?

a)

A triangle where all sides equal 90 degrees

b)

A triangle where every angle is 90 degrees

c)

A triangle where all three sides are equal

d)

A triangle where there is a 90 degree angle

229.

Which choice represents the legs?

a)

a and b

b)

a

c)

b

d)

c

230.

When do we use the Pythagorean Theorem?

a)

To find a missing angle in a right triangle

b)

To find the missing length of a right triangle

c)

To find the area of a right triangle

d)

To find the slope of a right triangle

231.

Who discovered the Pythagorean Theorem?

a)

Euclid

b)

Aristotle

c)

Pythagoras

d)

Diophantus

232.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Equiangular

d)

Equilateral

233.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Isosceles

d)

Obtuse

234.

Find x.

a)

22

b)

11√3

c)

11√2

d)

11

235.

Find a.

a)

12

b)

24

c)

24√3

d)

16

236.

What is the length of y in this picture?

a)

45

b)

5√2

c)

90

d)

5

237.

Find the value of x.

a)

18

b)

18√3

c)

36√3

d)

12

238.

In this 45-45-90 triangle, I have been given a leg, so to find the other leg I...

a)

Multiply that leg by 2

b)

Use the same length for the second leg

c)

Multiply that leg by √2

d)

Divide that leg by √2

239.

In this 45-45-90 triangle, I have been given the length of a leg. How do I find the length of the hypotenuse?

a)

It is the same length as the given leg.

b)

Multiply that leg's length by √2.

c)

Multiply that leg's length by 2.

d)

Divide that leg's length by √2.

240.

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

a)

8√2

b)

4√2

c)

4

d)

8

241.

Which side is the long leg in this 30-60-90 triangle?

a)

4

b)

u

c)

v

242.

Which side is the short leg of this 30-60-90 triangle?

a)

6

b)

m

c)

n

243.

I have been given the short leg in this 30-60-90 triangle. How do I find the long leg?

a)

Multiply 4 by 2

b)

Multiply 4 by √3

c)

Multiply 4 by √2

d)

Divide 4 by 2

TRIGONOMETRIC RATIOS

Total questions: 243

Worksheet time: 2hrs 2mins

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