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sin cos tan

Total questions: 89

Worksheet time: 8hrs 17mins

Name
Class
Date
1.
What is the correct ratio?
a)
sin 40 = w/28
b)
cos 40 = w/28
c)
tan 40 = w/28
d)
sin 40 = 28/w
2.
If you are given the opposite side and hypotenuse, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
d)
cotangent
3.

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

a)

sine

b)

cosine

c)

tangent

4.
Which is the correct set up to solve for x?
a)
sin 72 = 6 / x
b)
cos 72 = 6 / x
c)
tan 72 = 6 / x
5.
a)
18.9
b)
19.5
c)
47
d)
27.5
6.

From the perspective of angle  θ\theta , which trig ratio would correctly compare the 2 sides identified with stars?

a)

Sin

b)

Cos

c)

Tan

7.

Cosine ratio represent

a)

O/H

b)

A/H

c)

O/A

d)

A/O

8.
Tangent ratio represent
a)
Opp/Hyp
b)
Adj/Hyp
c)
Opp/Adj
9.

Find the missing side.

a)

11.6

b)

93.4

c)

31.9

d)

1.1

10.
a)
20
b)
5.9
c)
33
d)
42
11.
a)
27.1
b)
74.8
c)
35.9
d)
56.3
12.
Solve the right triangle.
a)
<B = 39o, AB = 11.58, AC = 7.29
b)
<B = 39o, AB = 7.29, AC = 11.58
c)
<B = 129o, AB = 11.58, AC = 7.29
d)
<B = 129o, AB = 7.29, AC = 11.58
13.
Solve the right triangle.
a)
<A = 34o, <C = 56o, AC = 5.59
b)
<A = 56o, <C = 34o, AC = 5.59
c)
<A = 34o, <C = 56o, AC = 9.01
d)
<A = 56o, <C = 34o, AC = 9.01
14.
Find the measure of the missing angle.
a)
64o
b)
26o
c)
61o
d)
.008o
15.
Find the measure of the missing angle.
a)
49o
b)
50o
c)
41o
d)
33o
16.
Find the measure of the indicated angle (?) round to the nearest tenth.
a)
9.4
b)
55.2
c)
20.15
d)
19.4
17.
Solve for the missing angle
a)
50
b)
0.053
c)
36.9
d)
95
18.
Solve for x. Round to the nearest tenth.
a)
15.3
b)
16.6
c)
24.1
d)
24.3
19.
Solve for x. Round to the nearest tenth.
a)
74.9
b)
3.6
c)
63.5
d)
54.1
20.
Solve for x. Round to the nearest tenth.
a)
11.1
b)
9.3
c)
13.0
d)
5.5
21.

SPEED ROUND: If angle Θ is at point A, which side is b?

a)

Opposite

b)

Adjacent

c)

Hypotenuse

22.

SPEED ROUND: If angle Θ is at point A, which side is a?

a)

Opposite

b)

Adjacent

c)

Hypotenuse

23.

SPEED ROUND: If angle Θ is at point B, which side is a?

a)

Opposite

b)

Adjacent

c)

Hypotenuse

24.

SPEED ROUND: If angle Θ is at point B, which side is c?

a)

Opposite

b)

Adjacent

c)

Hypotenuse

25.

SPEED ROUND: If angle Θ is at point B, which side is b?

a)

Opposite

b)

Adjacent

c)

Hypotenuse

26.

Solve for side y.

a)

8.7

b)

13

c)

12

d)

3.7

27.

Solve for side x.

a)

9.7

b)

13

c)

17

d)

19

28.

Solve for the side opposite angle Θ.

a)

14

b)

9.0

c)

11

d)

4.9

29.

Solve for the side adjacent angle Θ.

a)

13

b)

6.0

c)

11

d)

4.9

30.
What is the correct ratio?
a)
sin 40 = w/28
b)
cos 40 = w/28
c)
tan 40 = w/28
d)
sin 40 = 28/w
31.

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

a)

sine

b)

cosine

c)

tangent

32.
If you are given the opposite side and hypotenuse, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
d)
cotangent
33.

If you are given two parts of an obtuse triangle, which trig function should you use to find other missing parts?

a)

sine

b)

cosine

c)

tangent

d)

You can only use SOHCAHTOA rules on right triangles.

34.
Which is the correct set up to solve for x?
a)
sin 24 = x / 12
b)
cos 24 = x / 12
c)
tan 24 = x / 12
35.
Which is the correct set up to solve for x?
a)
sin 72 = 6 / x
b)
cos 72 = 6 / x
c)
tan 72 = 6 / x
36.
Which is the correct set up to solve for x?
a)
sin 51 = 14 / x
b)
cos 51 = x / 14
c)
sin 51 = x / 14
d)
cos 51 = 14 / x
37.

Which is the opposite site of θ

a)

a

b)

b

c)

h

d)

none of them

38.
What is the length of the side adjacent to ∠Z?
a)
16
b)
30
c)
34
39.
What is the length of the side opposite ∠X?
a)
16
b)
30
c)
34
40.
What is the length of the hypotenuse?
a)
16
b)
30
c)
34
41.
Which side is adjacent to angle x?
a)
1
b)
2
c)
3
42.
If you are given the opposite side and hypotenuse, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
d)
cotangent
43.

If angle Θ is at point A, which side is b?

a)

Opposite

b)

Adjacent

c)

Hypotenuse

44.

If angle Θ is at point A, which side is a?

a)

Opposite

b)

Adjacent

c)

Hypotenuse

45.

If angle Θ is at point B, which side is a?

a)

Opposite

b)

Adjacent

c)

Hypotenuse

46.

If angle Θ is at point B, which side is c?

a)

Opposite

b)

Adjacent

c)

Hypotenuse

47.

Maya, Emma, and Samuel are playing a game of 'Who can climb the highest?'. They found a 10-meter long ladder and leaned it against a wall at an angle of 60 degrees. Can you help them figure out how high up the wall the ladder would reach?

a)

7.5 meters

b)

10 meters

c)

3√3 meters

d)

5√3 meters

48.

Luna, Avery, and Ava are on a treasure hunt. They find a map with a right-angled triangle. The length of the opposite side is 5 steps and the length of the hypotenuse is 13 steps. If Luna is standing at the right angle, what would be the value of sin(θ) when she looks at the treasure?

a)

12/5

b)

13/5

c)

5/12

d)

5/13

49.

Kai, Oliver, and Elijah are having a friendly competition to see who can calculate trigonometric values the fastest. Kai throws out a challenge: 'If cos(θ) = 0.8, what is the value of θ in degrees?' Can you help them solve it?

a)

cos⁻¹(0.8) = 36.87 degrees

b)

cos⁻¹(0.8) = 30 degrees

c)

cos⁻¹(0.8) = 45 degrees

d)

cos⁻¹(0.8) = 60 degrees

50.

Henry, Elijah, and Daniel are having a fun day out in the park. They notice a flagpole that casts a shadow of 15 meters when the angle of elevation of the sun is 60 degrees. Being the curious kids they are, they start wondering about the height of the flagpole. Can you help them figure it out?

a)

20 meters

b)

30 meters

c)

25 meters

d)

10 meters

51.

David, Ethan, and Michael are having a friendly competition to see who can solve this problem first: If tan(θ) = 1.5, what is the value of θ in radians? Can you beat them to the answer?

a)

3.1416 radians

b)

0.9828 radians

c)

2.3562 radians

d)

0.5236 radians

52.

Imagine this! Our friend William is standing 20 meters away from a towering building. He looks up and notices that the angle of elevation to the top of the building is 45 degrees. Can you help Lily and Liam figure out how tall the building is?

a)

10 meters

b)

30 meters

c)

20 meters

d)

15 meters

53.

Emma, Harper, and Isla are on a treasure hunt. They found a clue that says 'If sin(θ) = 0.6, θ is the angle you need to turn to find the treasure'. Can you help them figure out the value of θ in degrees?

a)

180 degrees

b)

90 degrees

c)

45 degrees

d)

36.87 degrees

54.

Imagine Aria, David, and Zoe are at a carnival. They come across a giant Ferris wheel with a radius of 30 cm, spinning at a dizzying speed of 60 revolutions per minute. David, being the math whiz, wonders about the linear speed of a point on the edge of the wheel. Can you help him figure it out in meters per second?

a)

25.6 m/s

b)

18.85 m/s

c)

5.2 m/s

d)

12.4 m/s

55.

Aria, Ethan, and Sophia are having a friendly competition to see who can solve this problem first: If cos(θ) = 0.3, what is the value of θ in radians? Can you beat them to it?

a)

0.8 radians

b)

2.5 radians

c)

1.2661 radians

d)

0.5 radians

56.

Emma, Scarlett, and Ava are having a fun day out in the park. Emma is flying a kite with a string of 100 meters. Scarlett, being a math whiz, observes that the angle of elevation to the kite is 30 degrees. Ava, curious, asks, 'How high is the kite above the ground?'

a)

50 meters

b)

200 meters

c)

75 meters

d)

20 meters

57.
We can use SOH-CAH-TOA for...
a)
Any triangle ever
b)
Non-right triangles only
c)
Right Triangles only
d)
Never
58.
What is the ratio for Tangent
a)
Opp/Adj
b)
Adj/Opp
c)
Opp/Hyp
d)
Hyp/Opp
59.
What is the ratio for Cosine?
a)
Opp/Hyp
b)
Opp/Adj
c)
Adj/Opp
d)
Adj/Hyp
60.
What is the ratio for Sine?
a)
Hyp/Opp
b)
Opp/Hyp
c)
Opp/Adj
d)
Adj/Opp
61.
What do we use to remember our trig ratios?
a)
SOH COH TAO
b)
SOH CAH TOA
c)
SAH COH TAO
d)
HOS HAC OAT
62.
What is the length of the side adjacent to ∠Z?
a)
16
b)
30
c)
34
63.
a)
A
b)
B
c)
C
d)
D
64.
a)
A
b)
B
c)
C
d)
D
65.
a)
27/36
b)
27/45
c)
45/36
d)
45/27
66.
a)
18/30
b)
24/30
c)
18/24
d)
24/18
67.
a)
14/48
b)
48/50
c)
14/50
d)
48/14
68.
a)
12/37
b)
37/35
c)
12/35
d)
35/37
69.
a)
4/3
b)
3/5
c)
15/20
d)
15/25
70.
a)
15/25
b)
4/5
c)
3/5
d)
20/15
71.
a)
30/34
b)
16/34
c)
30/16
72.
Choose the correct ratio.
a)
sinZ=5/13
b)
sinX=5/13
c)
cosX=13/12
d)
tanZ=12/5
73.
a)
A
b)
B
c)
C
d)
D
74.
a)
A
b)
B
c)
C
d)
D
75.
a)
A
b)
B
c)
C
d)
D
76.
Sine or Cosine?
a)
y=sinx
b)
y=cosx
77.
Sine or Cosine?
a)
y=sinx
b)
y=cosx
78.
The __________ represents half the distance between the max and min of a sine or cosine graph. 
a)
Period
b)
Frequency
c)
Extreme Values
d)
Amplitude
79.
The period of a sine or cosine graph can be found by ....
a)
It's always 2π
b)
2π/B
c)
B(2π)
d)
2π+B
80.
What is the amplitude of this function?
a)
2
b)
2π
c)
-2
d)
1
81.
What is the period?
a)
π/4
b)
π/2
c)
3π/4
d)
π
82.
Which function represents the graph?
a)
f(x) = 3 sin x
b)
f(x) = 3 cos x
c)
f(x) = sin ( ⅓ x)
d)
f(x) = sin (3 x)
83.
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) 
84.
What is the period?
a)
π/4
b)
π/2
c)
3π/4
d)
π
85.
17.  Determine the equation
a)
tan x
b)
cot x
c)
tan 2x
d)
cot 2x
86.
What is the value of cosine at 0
a)
0
b)
1/2
c)
1
d)
√3 / 2
87.
What is the value of cosine at 270
a)
0
b)
1
c)
-1
88.
At what point are sine and cosine the same value?
a)
0
b)
90
c)
45
d)
60
89.
a)
-1
b)
0
c)
undefined
d)
√3

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