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Yr9 Trigonometry
Yr9 Trigonometry
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1
Which value of A satisfies the equation 2 sin A - 1 = 0?
1/2
45°
60°
30°
2
The 7 in side is _________ to angle B
Hypotenuse
Opposite
Adjacent
3
What value of x in the interval 0° ≤ x ≤ 180° satisfies the equation √3 tan x + 1 = 0?
150°
60°
30°
-30°
4
DO NOT USE THE CALCULATOR. Given tan35
o
=0.7002, what is the value of tan325
o
-02998
0.7002
0.2998
-0.7002
5
Which of the following functions would be used to find the missing angle?
tan
cos
sin
6
tan60
0
1
1/√3
√3
7
find length of e ?
6.4
4.61
5.70
5.71
8
27. Which of these is equal to sin45?
1÷√2
√2
√2-1
1
9
In the following triangle which side would you label 'A' ?
hypotenuse
blank side
8
15
10
What is the exact value of sin60?
1/√3
0
√3/2
1/2
11
In the following triangle which side would you label 'H' ?
17
50
x
blank side
12
what is the exact value of Sin 90
1/2
√3/2
-1/2
1
13
2. The hypotenuse of a right-angled triangle is...
One of the sides touching the right angle
The shortest side
The side you are given
The side opposite the right-angle
14
Find the missing side
4.53
7.95
6.90
3.94
15
Find θ in the interval 180° ≤ θ ≤ 270° that satisfies the equation 2 cos θ + 1 = 0.
no solution
240°
225°
210°
16
What is the value of:
-1
0
1
It doesn't exist
17
Solve without calculator
: If cos 69.8
0
= 0.3453, what is the value of cos 290.2
0
?
0.3453
-0.6547
-0.3453
0.6547
18
16. tan45=1 because...
All of the above
The two shorter sides have the same length
Opposite = adjacent
The triangle is isosceles
19
Which of the equations below would you use to find the angle PRQ?
tan(x) = 24/11
tan(x) = 11/24
cos(x) = 11/24
sin(x) = 11/24
20
sin 25 = ?
c over 8
8 over c
b over 8
8 over b
21
22. Which of these ratios can equal 1?
tanθ
None of them
sinθ
cosθ
22
The H in this triangle is on the _________ side
Adjacent
Hypotenuse
Opposite
23
21. If the a rectangle was 20cm x 12cm, the length of its diagonal would be:
18.547cm
19.219cm
16.714cm
16cm
24
Find the missing side
7.09
7.03
5.54
11.42
25
What is the ratio for 'tan'?
tan Ɵ = A/H
tan Ɵ = O/A
tan Ɵ = A/O
tan Ɵ = O/H
26
What relationship needs to be used?
Cos-1
Sin
Pythagoras
Tan
27
What is the ratio for 'sin'?
sin Ɵ = O/H
sin Ɵ = H/O
sin Ɵ = A/H
sin Ɵ = O/A
28
cos 60 ° =?
√3 / 2
√3
1
1/2
29
Find the missing angle
49.97
40.03
25,84
57.14
30
cos a = ?
H over B
B over H
A over H
H over A
31
6. In an isosceles right-angled triangle, the shorter sides are both 8cm. The hypotenuse is...
10.94
11.11
11.31
11.94
32
Solve each equation for 0 ≤ θ < 360.
D
B
C
A
33
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.
34
What relationship needs to be used?
Sin-1
Pythagoras
Tan
Cos-1
35
cos 0 is equal to?
1
0.5
2
36
Solve each equation for 0 ≤ θ < 360.
C
B
A
D
37
What is the length of DG?
8 m
11.66 m
10 m
12.8 m
38
Find measure of angle P 1 d.p ?
22.3
33.1
33.2
23.3
39
Solve 2cos θ - 0.3188 = 0 for 0
0
<=θ<=360
0
35.7 or 324.3
40.4 or 139.6
80.8 or 279.2
71.4 or 288.6
40
What are the three sides of a right-angled triangle labelled as in trigonometry?
H, O, A
O, A, C
A, B, C
X, Y, Z
41
10. To find x in this diagram I would use...
Cos
Tan
Sin
Pythagoras
42
find length of h ?
1.76
1.70
7.1
1.69
43
DO NOT USE THE CALCULATOR
. Given sin 40
o
=0.6428, what is the value of sin140
o
0.6428
-0.3572
0.3572
-0.6428
44
11. What is the value of x in the diagram?
27
54.95
14.27
42.84
45
Do I need to know my exact values in trigonometry?
Yes
No
Sure, why not!
Never in my life
46
What relationship needs to be used?
Sin-1
Pythagoras
Cos
Tan
47
Find the missing side
6.88
6.81
6.18
4.05
48
Which side length is adjacent to angle C?
12
20
16 and 20
16
49
25. The triangle in this diagram is...
Right-angled and scalene
Non right-angled and isosceles
Non right-angled and scalene
Right-angled and isosceles
50
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.
51
Find the value of x in the domain 0° ≤ x° < 90° that satisfies the equation 2 sin x - √2 = 0.
45°
60°
30°
no solution
52
1. Which of the following is a Pythagorean triad?
3,4,5
2,3,4
5,6,7
8,10,12
53
What is the exact value of cos0?
1/√2
0
1/2
1
54
Which of the following functions would be used to find angle X?
cos
tan
sin
55
find length of f ?
6.12
5.17
7.15
1.75
56
Solve to two decimal places: sin x = 0.34, for 0° ≤ x ≤ 360°
1.22, 1.92
0.35, 2.79
0.35, 3.49
0.33, 2.81
57
What acronym is used to help us remember the three different ratios?
SAHCAHTAH
SOHCAHTOA
COTSECCOSEC
SINCOSTAN
58
Solve cos θ=0.2567 for 0
0
<=θ<=360
0
75.1 or 104.9
104.9 or 284.9
104.9 or 194.9
75.1 or 284.9
59
Find the missing angle
20.03
71.10
69.97
18.90
60
Tan0
1
√3
0
1/2
61
Which of the following functions would be used to find the missing angle?
sin
tan
cos
62
From the top of a cliff to a boat at sea level, the angle of depression is 15°. Find the height of the cliff.
724.7 m
187.6 m
2612.4 m
2704.6 m
63
Find the missing angle
33.69
41.81
48.19
48.18
64
What relationship needs to be used?
Sin
Cos-1
Tan
Pythagoras
65
Find the missing angle
43.34
46.66
36.03
53.97
66
Which of the following functions would be used to find the missing angle?
tan
sin
cos
67
Find measure of angle S 1 d.p ?
56.2
65.2
52.6
50.6
68
Find the missing side
9.73
5.04
10.07
4.86
69
Jo's kite is staked to the ground. To the nearest tenth of a degree, what angle is the kite stake with the ground?
28.7°
42.3°
56.9°
33.1°
70
What is the size of angle x?
0.99
53.1
38.7
36.9
71
What is the value of:
1/2
1/√3
0
√3/2
72
Choose the correct ratio for the below triangle ?
sin Ɵ = 10/8
sin Ɵ = 8/10
sin Ɵ = 8/x
73
For a particular angle of a right angled triangle, the ratio OPPOSITE / HYPOTENUSE is called?
Tangent
Sine
Cosine
74
9. The angle marked 55 degrees in the triangle...
Is correct
Is not equal to 55
75
5. Why couldn't we use trigonometry to find x in the triangle?
I can actually use trigonometry to find x
Because I don't know an angle other than the right angle
Because it is the hypotenuse
Because the number is too large
76
26. What is the value of the HYPOTENUSE in this triangle?
12cm
16.97cm
17.45cm
20.25cm
77
17. If sin30 = 4/x then x =...
8
2
16
4
78
Find the missing side
8.30
9.21
16.69
11.17
79
find length of g ?
5.14
2.15
5.15
5.12
80
The 5 is the _________ side
Hypotenuse
Opposite
Adjacent
81
The tan function is which of the following?
Adjacent over Hypotenuse
Opposite over Adjacent
Opposite over Hypotenuse
82
Find the missing angle
61.04
28.96
48.81
41.19
83
tan 45 is equal to?
1
2
0.5
84
The number 3 in this triangle is the _____________ side
adjacent
opposite
hypotenuse
85
Solve each equation for 0 ≤ θ < 360.
B
C
A
D
86
Find the missing angle
51.34
38.66
53.13
36.87
87
What relationship needs to be used?
Cos-1
Pythagoras
Sin
Tan
88
What about OPPOSITE / ADJACENT?
Tangent
Cosine
Sine
89
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
90
Find the missing side
47.17
10.20
36.25
42.83
91
30. What is the value of x in the diagram?
3.71
2.69
11.32
4.05
92
What is the exact value of tan45?
1/2
2
1
2/3
93
Solve to two decimal places: cos x = -0.65, for 0° ≤ x ≤ 360°.
2.28, 5.41
0.61, 3.75
0.80, 3.94
2.28, 4.00
94
What is hypotenuse?
Just an ordinary side.
Any side of a triangle.
The longest side of a non right angled triangle.
The longest side of a right angled triangle.
95
Find the missing side
6.30
7.77
5.20
4.68
96
find length of a ?
5.12
6.14
4.13
6.13
97
What is the value of:
1/2
√3/2
1/√2
√2/2
98
sin 30 is equal to?
2
1
0.5
99
Which of the following statements will be used to find the length BC?(where x is the length BC)
sin(20) = x/32
cos(20) = x/32
cos(20) = 32/x
sin(20) = 32/x
100
find length of i ?
6.77
7.66
6.70
6.69
101
Without a calculator, but with the help of the table, find the length DE?
11.92 cm
6.43 cm
8.39 cm
7.66 cm
102
DO NOT USE THE CALCULATOR. Given cos 70
o
=0.3420, what is the value of cos250
o
-0.6580
0.3420
0.6580
-0.3420
103
What is the value of x?
7.62 cm
6.86 cm
3.41 cm
3.79 cm
104
Find the exact value of
1
-1
0
undefined
105
If cos(y) = 0.6 then what is the size of angle y?
36.86
53.13
0.99995
0.6
106
Solve each equation for 0 ≤ θ < 360.
A
B
D
C
107
The a in this triangle is on the _________ side
Opposite
Adjacent
Hypotenuse
108
Find measure of angle Q . 1 d.p ?
64.8
48.6
48.7
46.8
109
13. In a right-angled triangle, if cosθ=3/5 then...
tanθ=3/4
tanθ=4/5
sinθ= 2/5
sinθ=4/5
110
Which trigonometric function is this the graph of?
None of these
Tan
Cos
Sin
111
True or False? The ratios learned in right triangle trigonometry can be used on ANY types of triangles.
True
False
112
To the nearest whole degree, find the measure of angle A.
37°
53°
49°
undefined
113
tan90
1
1/2
undefined
0
114
What does the side labelled 'O' represent?
Opposite the Ɵ
Adjacent side
Outlayer
Opposite the right angle
115
The tree is on the _________ side to 40
Opposite
Hypotenuse
Adjacent
116
What is the value of:
1
√3
1/2
1/√3
117
14. In the diagram, x is the...
Adjacent side
Hypotenuse
None of the above
Opposite side
118
15. The value of x is...
26
6.5
15
12
119
23. Is this triangle right-angled?
No because no right-angle symbol is drawn
Yes because a2+b2=c2
It is impossible to tell
No because a2+b2≠c2
120
What is the value of:
1/√2
√3/2
1
1/2
121
Is tan x equal to sin x / cos x?
Yes
No
122
Find measure of angle R 1 d.p ?
40.9
41.9
38.9
41.8
123
Sin = 45 degrees equals what?
√3/2 (root 3 over 2)
1/2
2
√2/2 (root 2 over 2)
124
What is the area of the parallelogram, in cm^2? (Area = base x vertical height)
25.77
46.67
34.68
23.21
125
Find the missing side
4.19
12.64
6.70
4.93
126
Which trigonometric function is this the graph of?
Tan
None of these
Sin
Cos
127
What is the value of:
√3/2
1/√3
√3
1
128
What is the ratio for 'cos'?
cos Ɵ = O/H
cos Ɵ = O/A
cos Ɵ = A/H
cos Ɵ = H/A
129
8. Use Pythagoras to find the value of a in the triangle?
10.5
9
7.5
18
130
What relationship needs to be used?
Pythagoras
Tan
Cos-1
Sin
131
Solve without calculator
: If sin 76.2
0
= 0.9711, what is the value of sin 256.2
0
?
0.9711
-0.0289
-0.9711
0.0289
132
20. What is the value of c in the triangle below?
4.47
14.42
8.94
7.21
133
If cot θ = 4, 0 °≤ θ < 90°, find the value of θ (accurate to 2 decimal places).
1.42
0.24
0.34
no solution
134
18. cos37=0.8. If the adjacent side was 10cm, then the hypotenuse would be...
13.5cm
8cm
12cm
12.5cm
135
Use these facts to decide which statement is true
Tan(30) = Sin(30) ÷ Cos(30)
Tan(30) = Cos(30)2
Tan(30) = Sin(30) x Cos(30)
Tan(30) = Cos(30) ÷ Sin(30)
136
find length of b ?
7.51
5.70
6.2
5.69
137
The angle between the horizontal and your line of sight is called?
The angle of elevation
The angle of depression
138
Would you use sin, cos or tan to find the value of x?
tan
cot
cos
sin
139
What is the EXACT tan30
√3/3
√3/2
½
√2/2
140
Given that BD is 10 cm, what is the value of cos(y)
0.6
1.333...
53.1
36.9
141
Given that cos x° = ⅔ , calculate the length BD
3 cm
2 cm
22.5 cm
10 cm
142
24. What is the exact value of x in the triangle?
√200
√181
√29
√19
143
Find the missing angle
71.79
18.20
17.35
18.21
144
Find the missing side
10.19cm
19.17cm
16.93cm
4.79cm
145
Which of the following functions would be used to find the missing angle?
cos
tan
sin
146
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
147
The side 12 is the _________ side to angle 52
Hypotenuse
Adjacent
Opposite
148
What relationship needs to be used?
Pythagoras
Cos
Tan-1
Sin
149
cos 30
-½
√3/2
√2/2
150
Which trigonometric function is this the graph of?
None of these
Tan
Cos
Sin
151
4. Use Pythagoras to find the value of x in the triangle
13
12
11
10
152
The sin function is which of the following?
Adjacent over Hypotenuse
Opposite over Hypotenuse
Opposite over Adjacent
153
Solve sin θ=-0.6325, for 0
0
<=θ<=360
0
219.2 or 320.8
140.8 or 219.2
309.2 or 320.8
39.2 or 320.8
154
Find the missing side
24.53cm
11.80cm
11.90cm
19.16cm
155
The cos function is which of the following?
Adjacent over Hypotenuse
Opposite over Adjacent
Opposite over Hypotenuse
156
3. Which ratio would you use if you know the opposite side and want to find the hypotenuse?
Tan
Cos
Pythagoras
Sin
157
The 15 in this triangle is on the _________ side
Adjacent
Opposite
Hypotenuse
158
What is the value of:
0
It doesn't exist
1
-1
159
Solve each equation for 0 ≤ θ < 360.
B
D
A
C
160
find length of c ?
10.7
11.7
10.3
9.4
161
Solve tan θ=3.4, for 0
0
<=θ<=360
0
73.6 or 286.4
73.6 or 163.6
73.6 or 253.6
73.6 or 106.4
162
tan Theta = ?
c over b
b over a
b over c
c over a
163
What is the value of:
It doesn't exist
1
0
-1
164
find length of j ?
7.41
7.14
4.70
4.71
165
cos90
\frac{\sqrt{2}}{2}
0
\frac{\sqrt{3}}{2}
1
166
t =
20cos38
20sin38
20tan38
38tan20
167
What about ADJACENT / HYPOTENUSE?
Cosine
Tangent
Sine
168
What are the three ratios used in trigonometry?
sin, cos, tan
E = mc2
a2 + b2 = c2
sos, can, tin
169
sin 45 = cos 45 = ?
1
\sqrt{2}
\frac{\sqrt{2}}{2}
170
Find the angle CDA (to 2 d.p)
57.99
147.99
32.01
122.01
171
12. The diagonal of a square is x. What would be the side length of the square?
√(𝒙2+42)
𝒙2÷2
√2𝒙
𝒙÷√2
172
sin30
\frac{\sqrt{3}}{2}
1/2
\frac{\sqrt{2}}{2}
1
