Page 132 - ADVANCED MATH F.5

Form Five Form Five

2. Guide students through discussion to recognize the inverse of
reciprocal trigonometric functions. Assist them in deriving the
relationship between trigonometric functions and the inverse
of the reciprocal of trigonometric functions.
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3. Use Examples 6.56 and 6.60 in the Student’s Book to guide
students to apply the inverse of trigonometric function in
solving equations, simplifying expressions, and proving
trigonometry identities of the given problems. Engage students
in the use of mathematical software to verify the answers
for the given examples. Advise them to share their findings
through presentation.

4. Assign students to attempt Exercise 6.11 in the Student Book.
Advise students to submit their work. Check the correctness of
their answers, and provide them constructive feedback.

Answers to Exercise 6.11

2 − 6 π
1. (a) (b) (c) 3 (d) 1
4 4

2. (a) 4 (b) − 13 (c) 87 (d) 56
3 85 425 65
x
4. (a) 1 x− 2 (b) 1 x+ 2

1
5. (a) x = 0.7862 (b) x = ± 1, x = (c) x = 0.2808
2
1
1
(d) x = 6 42− (e) (f)
3
6
3
(g) ± 2 (h) 0 (i) ± 2 (j) ±
4
10. 0

126
Mathematics for Advanced Secondary Schools

30/06/2024 18:02:30
ADVANCED MATH F.5 TG CHAPTERS.indd 126
ADVANCED MATH F.5 TG CHAPTERS.indd 126 30/06/2024 18:02:30