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 =9.0 cm, b=8.0 cm and c=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 the circle is: (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 cycle (a) 0.318 × maximum value (b) 0.707 × maximum value (c) the peak value (d) 0.637 × maximum value

20. Tan 60◦ is equivalent to:

(a) 1√ 3

(b) √

3 2

(c) 1 2

(d) √3

21. An alternating current is given by: i =15sin(100π t −0.25) amperes. When time t =5ms, 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: (a) 300 m2 (b) 234 m2 (c) 124 m2 (d) 66 m2

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 if true?