Find the value of θ correct to 1 decimal place for when sinθ=0.2
Which of the following diagrams is correct?
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1.
2.
3.
4.
cosθ can be represented by which of the following graphs?
1 2 3
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1.
2.
3.
4.3
8cm
4.5
1cm
4.5
5cm
4.6
1cm
4.8
9cm
0% 0% 0%0%0%
1. 4.38cm
2. 4.51cm
3. 4.55cm
4. 4.61cm
5. 4.89cm
Find the value of x on the following diagram.
42°
x
6.8cm
John Goodband, Coventry University
Which of the following statements are correct?
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1. cos(-x)=-cos(x)
2. sin(-x)=-sin(x)
3. tan(-x)=-tan(x)
.
1 2
0%0%
xx
sin
1assametheissin 1
1. True
2. False
A can rolls down a hill as shown in the figure. Find the total distance (A+B)
that the can travels.
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1. 301m
2. 571m
3. 255.9m
4. 525.9m
30°19°
Find θ on the diagram below using the sine rule
A triangle ABC has sides a=4cm, b=5cm, c=6cm. Obtain the angle BAC.
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1. 41.92°
2. 0.73°
3. 0.72°
4. 41.41°
Find the angle A in the triangle shown below.
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a=40cmc=56cm
b=32cm
B
C=50.1°
A
1. 38.12°
2. 33.21°
3. 30.21°
4. 35.67°
Write sin 165° in terms of an acute angle
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1. sin 80°
2. -sin 15°
3. sin 15°
4. sin 65°5. -sin 65°
John Goodband, Coventry University
What is the angle π/9 radians equivalent to in degrees?
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What is the value of 25° in radians?
18
51.
72
52.
36
53.
72
54.
Obtain all the values of θ in the domain 0≤θ≤360° which satisfy
cos2θ – 4cosθ = 0.
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1. 90°, 270°
2. 0°, 180°, 360°
3. 0°, 90°, 180°, 270°, 360°
4. All solutions are greater the 360°
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Calculate the phase difference between the waves x1 and x2, where t is in seconds,
)8
4sin(2
)4sin(2
2
1
tx
tx
seconds32
11.
seconda2
12.
seconds8
3.
seconds8
14.
Write 4sin2t+5cos2t in the form Ccos(2t-α).
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1. 41cos(2t - 0.67°)
2. 41cos(2t – 38.66°)
3. 41-½cos(2t – 38.66°)
4. 41-½cos(2t – 0.67°)