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YEAR 9 TRIGONOMETRY Flashcards | StudBud
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YEAR 9 TRIGONOMETRY
What about ADJACENT / HYPOTENUSE?
What is the ratio for 'cos'?
YEAR 9 TRIGONOMETRY
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1
What is the ratio for 'cos'?
cos Ɵ = O/H
cos Ɵ = A/H
cos Ɵ = H/A
cos Ɵ = O/A
2
What about ADJACENT / HYPOTENUSE?
Sine
Cosine
Tangent
3
Which of the following functions would be used to find the missing angle?
sin
cos
tan
4
30. What is the value of x in the diagram?
3.71
11.32
2.69
4.05
5
The 7 in side is _________ to angle B
Hypotenuse
Adjacent
Opposite
6
The sin function is which of the following?
Adjacent over Hypotenuse
Opposite over Adjacent
Opposite over Hypotenuse
7
What acronym is used to help us remember the three different ratios?
SAHCAHTAH
SOHCAHTOA
COTSECCOSEC
SINCOSTAN
8
Find measure of angle R 1 d.p ?
41.9
40.9
38.9
41.8
9
find length of b ?
5.70
7.51
6.2
5.69
10
1. Which of the following is a Pythagorean triad?
5,6,7
8,10,12
2,3,4
3,4,5
11
5. Why couldn't we use trigonometry to find x in the triangle?
Because it is the hypotenuse
Because I don't know an angle other than the right angle
I can actually use trigonometry to find x
Because the number is too large
12
Which trigonometric function is this the graph of?
Cos
Tan
Sin
None of these
13
27. Which of these is equal to sin45?
√2
√2-1
1÷√2
1
14
The 5 is the _________ side
Opposite
Adjacent
Hypotenuse
15
What is the value of:
1
It doesn't exist
0
-1
16
Which side length is adjacent to angle C?
16
20
16 and 20
12
17
25. The triangle in this diagram is...
Non right-angled and isosceles
Right-angled and isosceles
Right-angled and scalene
Non right-angled and scalene
18
Find measure of angle Q . 1 d.p ?
48.6
64.8
48.7
46.8
19
True or False? The ratios learned in right triangle trigonometry can be used on ANY types of triangles.
True
False
20
The H in this triangle is on the _________ side
Adjacent
Hypotenuse
Opposite
21
find length of h ?
1.69
1.76
1.70
7.1
22
find length of f ?
6.12
1.75
5.17
7.15
23
The 15 in this triangle is on the _________ side
Adjacent
Hypotenuse
Opposite
24
What is the length of DG?
10 m
8 m
12.8 m
11.66 m
25
Find the missing side
6.88
6.18
4.05
6.81
26
Jo's kite is staked to the ground. To the nearest tenth of a degree, what angle is the kite stake with the ground?
42.3°
33.1°
56.9°
28.7°
27
26. What is the value of the HYPOTENUSE in this triangle?
20.25cm
17.45cm
12cm
16.97cm
28
Which of the equations below would you use to find the angle PRQ?
sin(x) = 11/24
cos(x) = 11/24
tan(x) = 11/24
tan(x) = 24/11
29
Which of the following functions would be used to find angle X?
cos
sin
tan
30
In the following triangle which side would you label 'A' ?
hypotenuse
15
blank side
8
31
Which of the following functions would be used to find the missing angle?
tan
sin
cos
32
17. If sin30 = 4/x then x =...
4
16
8
2
33
Which of the following functions would be used to find the missing angle?
cos
tan
sin
34
find length of j ?
4.70
7.41
4.71
7.14
35
13. In a right-angled triangle, if cosθ=3/5 then...
tanθ=3/4
tanθ=4/5
sinθ= 2/5
sinθ=4/5
36
Find the missing side
7.95
3.94
6.90
4.53
37
what is the exact value of Sin 90
1/2
√3/2
1
-1/2
38
Use these facts to decide which statement is true
Tan(30) = Sin(30) x Cos(30)
Tan(30) = Sin(30) ÷ Cos(30)
Tan(30) = Cos(30) ÷ Sin(30)
Tan(30) = Cos(30)2
39
Find the exact value of
1
0
-1
undefined
40
What is hypotenuse?
Just an ordinary side.
The longest side of a non right angled triangle.
The longest side of a right angled triangle.
Any side of a triangle.
41
find length of e ?
6.4
4.61
5.71
5.70
42
Find the missing angle
71.79
18.21
18.20
17.35
43
sin 45 = cos 45 = ?
\frac{\sqrt{2}}{2}
\sqrt{2}
1
44
What is the exact value of sin60?
√3/2
0
1/2
1/√3
45
cos90
\frac{\sqrt{3}}{2}
1
0
\frac{\sqrt{2}}{2}
46
What about OPPOSITE / ADJACENT?
Sine
Cosine
Tangent
47
Which trigonometric function is this the graph of?
Sin
Tan
None of these
Cos
48
18. cos37=0.8. If the adjacent side was 10cm, then the hypotenuse would be...
12cm
12.5cm
8cm
13.5cm
49
The angle between the horizontal and your line of sight is called?
The angle of elevation
The angle of depression
50
Find the missing angle
69.97
20.03
71.10
18.90
51
What relationship needs to be used?
Cos
Pythagoras
Sin-1
Tan
52
tan60
√3
0
1
1/√3
53
cos 60 ° =?
√3 / 2
1
1/2
√3
54
Without a calculator, but with the help of the table, find the length DE?
7.66 cm
6.43 cm
11.92 cm
8.39 cm
55
sin 30 is equal to?
1
0.5
2
56
Find measure of angle P 1 d.p ?
23.3
33.1
33.2
22.3
57
14. In the diagram, x is the...
Opposite side
Hypotenuse
Adjacent side
None of the above
58
The side 12 is the _________ side to angle 52
Opposite
Adjacent
Hypotenuse
59
6. In an isosceles right-angled triangle, the shorter sides are both 8cm. The hypotenuse is...
11.31
11.11
10.94
11.94
60
Which trigonometric function is this the graph of?
Cos
Tan
None of these
Sin
61
10. To find x in this diagram I would use...
Tan
Sin
Cos
Pythagoras
62
What is the ratio for 'sin'?
sin Ɵ = O/A
sin Ɵ = A/H
sin Ɵ = O/H
sin Ɵ = H/O
63
What does the side labelled 'O' represent?
Opposite the right angle
Adjacent side
Outlayer
Opposite the Ɵ
64
Find the missing angle
48.18
41.81
33.69
48.19
65
Which of the following functions would be used to find the missing angle?
sin
tan
cos
66
Find the missing side
19.17cm
16.93cm
10.19cm
4.79cm
67
Find the missing side
11.90cm
19.16cm
11.80cm
24.53cm
68
cos 30
√2/2
-½
√3/2
69
What is the value of:
√2/2
1/2
1/√2
√3/2
70
16. tan45=1 because...
Opposite = adjacent
The two shorter sides have the same length
All of the above
The triangle is isosceles
71
What is the value of x?
6.86 cm
3.79 cm
3.41 cm
7.62 cm
72
12. The diagonal of a square is x. What would be the side length of the square?
√(𝒙2+42)
√2𝒙
𝒙2÷2
𝒙÷√2
73
What relationship needs to be used?
Pythagoras
Tan
Cos-1
Sin
74
What relationship needs to be used?
Sin
Tan
Pythagoras
Cos-1
75
What is the value of:
0
1/2
√3/2
1/√3
76
What are the three sides of a right-angled triangle labelled as in trigonometry?
O, A, C
A, B, C
X, Y, Z
H, O, A
77
The cos function is which of the following?
Adjacent over Hypotenuse
Opposite over Adjacent
Opposite over Hypotenuse
78
tan90
undefined
1/2
1
0
79
What relationship needs to be used?
Pythagoras
Tan-1
Cos
Sin
80
What is the value of:
√3
1/2
1/√3
1
81
4. Use Pythagoras to find the value of x in the triangle
11
13
10
12
82
Find the missing side
36.25
42.83
47.17
10.20
83
What relationship needs to be used?
Sin-1
Tan
Pythagoras
Cos-1
84
Find the missing angle
38.66
51.34
53.13
36.87
85
8. Use Pythagoras to find the value of a in the triangle?
7.5
18
10.5
9
86
Given that BD is 10 cm, what is the value of cos(y)
36.9
53.1
0.6
1.333...
87
Find the missing side
11.17
9.21
16.69
8.30
88
11. What is the value of x in the diagram?
54.95
14.27
27
42.84
89
cos a = ?
B over H
H over B
H over A
A over H
90
Sin = 45 degrees equals what?
1/2
√2/2 (root 2 over 2)
2
√3/2 (root 3 over 2)
91
find length of a ?
5.12
6.14
6.13
4.13
92
Do I need to know my exact values in trigonometry?
Never in my life
Sure, why not!
No
Yes
93
Find the missing side
10.07
9.73
5.04
4.86
94
Given that cos x° = ⅔ , calculate the length BD
2 cm
10 cm
3 cm
22.5 cm
95
If cos(y) = 0.6 then what is the size of angle y?
36.86
53.13
0.99995
0.6
96
cos 0 is equal to?
0.5
2
1
97
The tree is on the _________ side to 40
Opposite
Hypotenuse
Adjacent
98
Would you use sin, cos or tan to find the value of x?
cos
sin
tan
cot
99
21. If the a rectangle was 20cm x 12cm, the length of its diagonal would be:
18.547cm
16.714cm
19.219cm
16cm
100
2. The hypotenuse of a right-angled triangle is...
The side opposite the right-angle
The shortest side
One of the sides touching the right angle
The side you are given
101
To the nearest whole degree, find the measure of angle A.
undefined
37°
53°
49°
102
What is the value of:
0
1
It doesn't exist
-1
103
What is the value of:
√3
1/√3
√3/2
1
104
Find the angle CDA (to 2 d.p)
57.99
122.01
32.01
147.99
105
find length of g ?
5.15
5.14
2.15
5.12
106
Find the missing angle
46.66
36.03
53.97
43.34
107
7. To find a in the triangle in the picture...
I can use neither Pythagoras nor Trigonometry
I must use Trigonometry
I could use Pythagoras or Trigonometry
I must use Pythagoras
108
Find the missing side
12.64
6.70
4.19
4.93
109
What is the angle of depression?
The angle made when you are looking up at an object.
The angle made when you are looking down at an object.
110
28. cos60=0.5, which means...
The adjacent side is half the length of the hypotenuse
The triangle is isosceles
The hypotenuse is half the length of the adjacent
The opposite side is half the length of the hypotenuse
111
sin 25 = ?
8 over c
b over 8
8 over b
c over 8
112
The number 3 in this triangle is the _____________ side
adjacent
opposite
hypotenuse
113
Tan0
1
√3
0
1/2
114
t =
38tan20
20sin38
20cos38
20tan38
115
Find the missing angle
57.14
40.03
49.97
25,84
116
Find the missing side
7.03
7.09
11.42
5.54
117
tan Theta = ?
b over c
c over a
c over b
b over a
118
24. What is the exact value of x in the triangle?
√200
√181
√29
√19
119
23. Is this triangle right-angled?
Yes because a2+b2=c2
It is impossible to tell
No because a2+b2≠c2
No because no right-angle symbol is drawn
120
3. Which ratio would you use if you know the opposite side and want to find the hypotenuse?
Tan
Cos
Pythagoras
Sin
121
What is the value of:
1/2
√3/2
1/√2
1
122
9. The angle marked 55 degrees in the triangle...
Is correct
Is not equal to 55
123
tan 45 is equal to?
2
0.5
1
124
Is tan x equal to sin x / cos x?
Yes
No
125
The a in this triangle is on the _________ side
Opposite
Adjacent
Hypotenuse
126
Find measure of angle S 1 d.p ?
52.6
50.6
65.2
56.2
127
From the top of a cliff to a boat at sea level, the angle of depression is 15°. Find the height of the cliff.
187.6 m
2704.6 m
724.7 m
2612.4 m
128
What is the ratio for 'tan'?
tan Ɵ = A/O
tan Ɵ = O/A
tan Ɵ = O/H
tan Ɵ = A/H
129
What is the value of:
1
It doesn't exist
-1
0
130
What relationship needs to be used?
Tan
Sin
Pythagoras
Cos-1
131
The tan function is which of the following?
Opposite over Hypotenuse
Opposite over Adjacent
Adjacent over Hypotenuse
132
Choose the correct ratio for the below triangle ?
sin Ɵ = 8/10
sin Ɵ = 8/x
sin Ɵ = 10/8
133
22. Which of these ratios can equal 1?
tanθ
None of them
cosθ
sinθ
134
What is the exact value of tan45?
1/2
2/3
2
1
135
20. What is the value of c in the triangle below?
7.21
4.47
14.42
8.94
136
Find the missing side
5.20
6.30
4.68
7.77
137
What is the exact value of cos0?
1/2
1/√2
1
0
138
Which of the following statements will be used to find the length BC?(where x is the length BC)
sin(20) = 32/x
cos(20) = x/32
sin(20) = x/32
cos(20) = 32/x
139
What is the area of the parallelogram, in cm^2? (Area = base x vertical height)
23.21
34.68
25.77
46.67
140
What relationship needs to be used?
Pythagoras
Cos-1
Sin
Tan
141
To the nearest foot, how far from the base of the tree am I?
214 feet
427 feet
740 feet
There is not enough information to determine this.
142
For a particular angle of a right angled triangle, the ratio OPPOSITE / HYPOTENUSE is called?
Sine
Tangent
Cosine
143
What is the EXACT tan30
√2/2
√3/2
√3/3
½
144
15. The value of x is...
12
6.5
26
15
145
What are the three ratios used in trigonometry?
sos, can, tin
E = mc2
sin, cos, tan
a2 + b2 = c2
146
find length of c ?
11.7
9.4
10.3
10.7
147
Find the missing angle
48.81
28.96
61.04
41.19
148
In the following triangle which side would you label 'H' ?
x
50
blank side
17
149
find length of i ?
6.77
6.69
7.66
6.70
150
What is the size of angle x?
36.9
0.99
38.7
53.1
151
sin30
1/2
1
\frac{\sqrt{3}}{2}
\frac{\sqrt{2}}{2}
