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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0% 0%0%0%

1.

2.

3.

4.

cosθ can be represented by which of the following graphs?

1 2 3

0% 0%0%

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?

1 2 3

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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

1 2 3 4 5

0% 0% 0%0%0%

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°)