1. Find the value of θ correct to 1 decimal place for when sinθ=0.2

2. Which of the following diagrams is correct? 1. 2. 3. 4.

3. cosθ can be represented by which of the following graphs? 1. 2. 3.

4. 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

5. Which of the following statements are correct? 1.cos(-x)=-cos(x) 2.sin(-x)=-sin(x) 3.tan(-x)=-tan(x)

6. . 1.True 2.False

7. A can rolls down a hill as shown in the figure. Find the total distance (A+B) that the can travels. 1.301m 2.571m 3.255.9m 4.525.9m 30° 19°

8. Find θ on the diagram below using the sine rule

9. A triangle ABC has sides a=4cm, b=5cm, c=6cm. Obtain the angle BAC. 1.41.92° 2.0.73° 3.0.72° 4.41.41°

10. Find the angle A in the triangle shown below. a=40cm c=56cm b=32cm B C=50.1° A 1.38.12° 2.33.21° 3.30.21° 4.35.67°

11. Write sin 165° in terms of an acute angle 1.sin 80° 2.-sin 15° 3.sin 15° 4.sin 65° 5.-sin 65° John Goodband, Coventry University

12. What is the angle π/9 radians equivalent to in degrees?

13. What is the value of 25° in radians? 1.2. 3.4.

14. Obtain all the values of θ in the domain 0≤θ≤360° which satisfy cos 2 θ – 4cosθ = 0. 1.90°, 270° 2.0°, 180°, 360° 3.0°, 90°, 180°, 270°, 360° 4.All solutions are greater the 360°

15. Calculate the phase difference between the waves x 1 and x 2, where t is in seconds, 1.2. 3.4.

16. Write 4sin2t+5cos2t in the form Ccos(2t-α). 1.41cos(2t - 0.67°) 2.41cos(2t – 38.66°) 3.41 -½ cos(2t – 38.66°) 4.41 -½ cos(2t – 0.67°)