Page 198 - ADVANCED MATH F.5

Form Five Form Five

Answers to Exercise 9.9

2

1. tan xc+ 2. tan − 1  1 tan( θ ) +
1
c
1
2
3   3 2  
− 1 2  2 
3. + c tan  − 1 tan x + c
1 tan x 4. 2   2   
+
x
 1 −
5. ln tan  + c 6. tan (sin )x + c
2

)
7. ln 1 cos x− + 2 + c 8. 1 tan 1 − ( 2 tan x + c
2
1 3tan x + 1 1
9. ln + c 10. tanθ +
6 3tan x − 1 2

x
x
11. ln sec 2  + c 12. ln tan( ) + c
2

2

1  FOR ONLINE READING ONLY
−
1 1
13. ln tan(4 ) sec(4 )x + x + c 14. sin ( sin )x + c
2
4
1 tan + 2
x
4
15. ln tan x− + sec x + 2sin xc+ 16. ln tan − 2 + c
2
x
4
1  tan x tan x 
1 ln
17.  3  ln 3 2 +− 3 2 − 1 + c 18. 2ln tan( ) +

4

1  3  2  1  x  
19. tan  y + c 20. tan − 1   2tan  − 1 +  c

3  2  3  3  2  
2 1 −  1  x  
21. 3 tan  3   2tan + 2 1 +     c

192
Mathematics for Advanced Secondary Schools

ADVANCED MATH F.5 TG CHAPTERS.indd 192 30/06/2024 18:02:51
30/06/2024 18:02:51
ADVANCED MATH F.5 TG CHAPTERS.indd 192