Page 138 - ADVANCED MATH F.5

Form Five Form Five

4 nπ π ± 4 nπ π ±
(e) ,
a b+ ab−

(f) θ 360 n °− 19 47 or θ = ° ′ = 360 n °− 47 35′ °
FOR ONLINE READING ONLY
π n π
(g) θ = or θ π = n ±
3 3
(h) θ 180 n°± 60 or θ = ° = 180 n°± 24.09°

12. (a) ( ,x y ) (15 , 75 ;= ° ° ) (75 , 15 ;° ° ) (195 , 255° )
(15 , 255 ;° ) (195 , 75° ° ).

(b) ( ,xy ) (45 ,165= ° ° ) or ( ,xy ) (165 ,45= ° ) °

52
13. 14. 27.2 , 152.8 , 207.2 , 332.8° ° ° °
39

15. 26.6 , 206.6° °

16. (a) 103.1 , 330° ° (b) 36.9 , 270° °
(c) 0 , 112.6° ° (d) 28.1 , 208.1 , 159.5 , 339.5° ° ° °

(e) 76.7 , 209.6° ° (f) 90 , 330° °

17. (a) 13, 67.4° (b) 5, 53.13°
(c) 10, 53.13° (d) 2, 45°

18. (a) 2, 45 ;° − 2, 225° (b) 5, 53.1 ; 5, 233.1° − °
(c) 17, 298.1 ; 17, 118.1° − ° (d) 37, 170.5 ;° − 37, 350.5°

19. Maximum 5, x= = 53.13°
Minimum = − 5, x = − 126.9°

1 2 3 θ+
20. (a) − sinα (b) (1 θ+ ) (c)
2 3 1 θ− 3

132
Mathematics for Advanced Secondary Schools

30/06/2024 18:02:34
ADVANCED MATH F.5 TG CHAPTERS.indd 132 30/06/2024 18:02:34
ADVANCED MATH F.5 TG CHAPTERS.indd 132