ABSTRACT

The distance travelled in 6 s (i.e. the area under the v/t graph) using the trapezoidal rule is: (a) 83.5 m (b) 68 m (c) 68.5 m (d) 204 m

14. A triangle has sides a D 9.0 cm, b D 8.0 cm and c D 6.0 cm. Angle A is equal to: (a) 82.42° (b) 56.49° (c) 78.58° (d) 79.87°

15. An arc of a circle of length 5.0 cm subtends an angle of 2 radians. The circumference of

(a) 2.5 cm (b) 10.0 cm (c) 5.0 cm (d) 15.7 cm

16. In the right-angled triangle ABC shown in Figure M2.5, secant C is given by:

(a) a b

(b) a c

(c) b c

(d) b a

17. In the right-angled triangle ABC shown in Figure M2.5, cotangent C is given by:

(a) a b

(b) b c

(c) c b

(d) a c

18. In the right-angled triangle ABC shown in Figure M2.5, cosecant A is given by:

(a) c a

(b) b a

(c) a b

(d) b c

19. The mean value of a sine wave over half a cycle is: (a) 0.318 ð maximum value (b) 0.707 ð maximum value (c) the peak value (d) 0.637 ð maximum value

20. Tan 60° is equivalent to:

(a) 1p 3

(b) p

3 2

(c) 1 2

(d) p3

21. An alternating current is given by: i D 15 sin100t 0.25 amperes. When time t D 5 ms, the current i has a value of: (a) 0.35 A (b) 14.53 A (c) 15 A (d) 0.41 A

22. The area of the path shown shaded in Figure M2.6 is:

23. Correct to 4 significant figures, the value of sec 161° is: (a) 1.058 (b) 0.3256 (c) 3.072 (d) 0.9455

24. Which of the following trigonometrical identities is true ?