Page 125 - ADVANCED MATH F.5

Form Five Form Five

2. Guide students to perform Activity 6.3 in the Student’s Book,
on finding the general solution for trigonometric sine and
tangent functions using the same procedures. Assist them to
summarize the general solutions in terms of radians and degrees.
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Advise them to share their findings through presentations for
improvement.

3. Use Examples 6.36, 6.37, and 6.38 in the Student’s Book
to guide students to apply the general solution to the given
trigonometric equations. Engage students to use mathematical
software of their choice to verify the answers for the given
examples.

4. Require students to attempt Exercise 6.6 in the Student’s Book.
Advise students to submit their work. Check the correctness of
their answers, and provide them constructive feedback.

Answers to Exercise 6.6

π n π
( ) 1
1. n +−
2 12 6. 1.0616 n+ + π 1.9148 n+ π
π π n π n π
2. n + 7. nπ+ ( ) 1− or π− ( ) 1−
n
5 20 2 6
π
3. 2 nπ± 8. 1.7 2 n+ ; 5.563+ π 2 nπ
4
4. 2.251 2 n+ ; 6.0928 2 n+ π π 9. 0.864 n+ ; 2.972 n+ π π
11
5. π n + 1.6512; 1.769 + π n 10. 2 nπ 6 . π +

Factor formulae

Teaching steps
1. Using Think-Ink-Pair-Share Strategy, engage students in
deducing the factor formulae from the compound angle
formulae in the Student’s Book.

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Mathematics for Advanced Secondary Schools

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