Page 119 - ADVANCED MATH F.5

Form Five Form Five

Answers to Exercise 6.2

1. (a) cos y (b) cosθ (c) (d) secθ

3. θ = = − 172.8 ,° 172.8 ,° − − θ 7.2 , 14.5 , 165.5 , 187.2° − ° ° 7.2 , 14.5 , 165.5 , 187.2° ° ° ° °
FOR ONLINE READING ONLY
4. (a) x + 2 y = 2 1 (b) ( x − 2 ) ( y+ 2 + ) 1 = 2 1
(c) xy = 3
5. (a) θ = 60 , 120 , 240 , 300° ° ° ° (b) θ = 70.5 , 289.5° °

(c) θ = 26.6 , 45 , 225 , 206.6° ° ° °

Compound angle formulae
Teaching steps

1. Using Think-Ink-Pair-Share Strategy, engage students in
deriving compound angle formulae as illustrated in Figure 6.3
in the Student’s Book.
2. Assist students through discussion to summarize the compound
angle formulae in terms of sum and difference. Encourage
students to explore additional resources, such as online tutorials
or reference books, to enrich their understanding of compound
angle formulae.

3. Use Examples 6.11 to 6.16 in the Student’s Book to engage
students to apply the compound angle formulae to find
solutions of various trigonometric problems. Engage students
to use mathematical software to verify the solutions of the
given examples.

4. Require students to attempt Exercise 6.3 in the Student’s Book.
Advise students to submit their work, check the correctness of
their answers, and provide them constructive feedback.

113
Mathematics for Advanced Secondary Schools

30/06/2024 18:02:25
ADVANCED MATH F.5 TG CHAPTERS.indd 113
ADVANCED MATH F.5 TG CHAPTERS.indd 113 30/06/2024 18:02:25