Page 194 - ADVANCED MATH F.5

Form Five Form Five

Answers to Exercise 9.7

1  1  1
1.  sin x − sin7x +  c 2. ( 4cos 2x− − cos8x ) c+
2  7  16

3. 1 (5sin 2x + sin10x ) c+ 4. 1 (3cos 2x − cos6x ) c+
20 12

5. 1 cos6θ 1 cos 4θ − 1 cos 2θ − + c 6. 1 (3sin 2θ sin 6θ − ) c+
24 16 8 12
1 1 1
7. cos2x− + cos 2x − 3 cos 2xc+ 5 8. [4x −− 2) ] c+
2 sin (4x −
3 10 8
1 1 3
9. sin(12x + 4) + sin (6x + ) 2 + xc+
96 12 8

1 1  1 
10. (sin12x − 8sin 6x + 36x ) c+ 11.  sin 2x − sin 2x + 3  c
96 2  3 
3 1 1
12. (x − 1) − sin (2x − 2) + sin (4x − 4) c+
4 2 16
1 3 x + FOR ONLINE READING ONLY
13. sin x − sin xc+ 14. cos x 2 cos x − 2 1 cos x − 4 ) 1 + c
3 ( 3 5
1 1
3
15. sinθ sin 2θ − + c 16. cos x 1 cos x − 2 1 ) c+
2 4 ( 5 3
1 1 1
17. sin x − 5 sin xc+ 7 18. (8x − sin8 )x + c
5 7 64
1 1
19. tan x − 4 tan x + 2 ln sec x + c
4 2
1 2 1
20. − cos x + 3 cos x − 5 cos xc+ 7
3 5 7
1 1
6
θ +
+
21. tan (3 ) θ 4 tan (3 ) c
12 18
1 1
22. sec2 tan 2x sec2 tan 2x x c+
4 4
188
Mathematics for Advanced Secondary Schools

30/06/2024 18:02:50
ADVANCED MATH F.5 TG CHAPTERS.indd 188 30/06/2024 18:02:50
ADVANCED MATH F.5 TG CHAPTERS.indd 188