Page 139 - ADVANCED MATH F.5

Form Five Form Five

5  1  3
21. 3− cos 2x −  tan −  ,
2  4 

=
Maximum 5.5
FOR ONLINE READING ONLY
Minimum = 0.5

22. 22.5 , 112.5° °

1 1
24. t = or t = , 53.12 and 60° °
2 p

25. (a) 2cos   23  θ  sin   9  θ  (b) 2sin (11θ )cos 2θ ( )
 2   2 

(c) 2sin   11  θ −  sin   43  θ  (d) 2cos   7  θ  cosθ
 10   10   2 

1 1
28. x = , x = 35. 360 ,− ° − 90 , 0 , 360° ° °
2 3

36. 0 , 10.32 , 60 , 70.32 , 120 , 130.32 , 180 ,° ° ° ° ° ° °

°
°
°
190.32 , 240 , 250.32 , 300 , 310.32, 360°
°
2t 2π π
37. tan 2x = , x π = , n + π , n + π n
1 t − 2 3 3

4 + 15 4 − 15 4 + 15
39. (a) ± (b) ± (c) ±
4 8 4 − 15

133
Mathematics for Advanced Secondary Schools

30/06/2024 18:02:34
ADVANCED MATH F.5 TG CHAPTERS.indd 133 30/06/2024 18:02:34
ADVANCED MATH F.5 TG CHAPTERS.indd 133