Page 121 - ADVANCED MATH F.5

Form Five Form Five

5. Encourage students to explore additional resources, such as
online tutorials or reference books, to enrich their understanding
of the double and half angle formulae.
6. Instruct students to attempt Exercise 6.4 in the Student’s Book.
FOR ONLINE READING ONLY
Advise them to submit their work. Check the correctness of
their answers, and provide them constructive feedback.

Answers to Exercise 6.4

3. (a) 2 (c) 1 sin x− (b) cotθ (d) cot x

5. (a) x + 2y = 2 0 (b) x = 2y + 2 4y + 1
41x ( − x 2 ) (x − 4) 2 (y − 7) 2
(c) y = (d) + = 1
16x− 2 + x 4 9 81

6. (a) 22.5 ,112.5 ,202.5 ,292.5° ° ° °
(b) 45 ,121 ,225 ,301° ° ° °
(c) 14.47 ,165.53° °

(d) 0 , 48.18 , 180 , 311.82 , 360° ° ° ° °

336 336 625 28560 28560 28561
8. (a) ,− ,− (b) − ,− ,
527 625 527 239 28561 239

3 3
10. (a) − (b)
3 2

1 4 − 6 − 2
(c) − (d)
2 8

2
11. (a) 1 (a) (b) 22
2

115
Mathematics for Advanced Secondary Schools

30/06/2024 18:02:26
ADVANCED MATH F.5 TG CHAPTERS.indd 115
ADVANCED MATH F.5 TG CHAPTERS.indd 115 30/06/2024 18:02:26