Page 129 - ADVANCED MATH F.5

Form Five Form Five

3. Guide students through discussion to use Figure 6.7 in the
Student’s Book to deduce the small angle formulae for sine,
cosine and tangent.
4. Use Examples 6.49, 6.50, and 6.51 in the Student’s Book to guide
6. 8θREADING ONLY
students to apply the small angle formula of sine, cosine, and
tangent in simplifying expressions and proving trigonometry
identities. Engage students in the use of mathematical software
to verify answers for the given examples. Advise them to share
their findings through presentations.
5. Require students to attempt Exercise 6.9 in the Student’s Book.
Advise them to submit their work. Check the correctness of
their answers, and provide them constructive feedback.

Answers to Exercise 6.9
1 4θ
1. (a) 15θ+ (b) 4 (c) (d) 2
−
1 2θ+ 12θ
1 1
(e) 2 (θ 2 2θ + − ) 2 (f) − θ
4 2
FOR ONLINE
2. 5 3. 0.294 2

7. (1 2θ  2 2 ) sin3α 2 cos3θ + α  − 9. 18θ 2
3   1 2θ + 6θ + 2

10. (a) 1 2θ θ+ − 2 (b) tanαθ+ sec α
2

Trigonometric functions
Teaching steps
1. Design an activity that will motivate students to understand the
concept of trigonometric functions.
2. Guide students through discussion to analyze the domain
and range of a trigonometric function. Encourage students
to explore additional resources, such as online tutorials or

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Mathematics for Advanced Secondary Schools

30/06/2024 18:02:29
ADVANCED MATH F.5 TG CHAPTERS.indd 123
ADVANCED MATH F.5 TG CHAPTERS.indd 123 30/06/2024 18:02:29