Page 127 - ADVANCED MATH F.5

Form Five Form Five

a 2a b ab− + 2
6. ,
b 1 a− 2 + 2ab
7. cos3θ 4cos θ = 3 3cosθ − and cos2θ 2cos θ = 2 − 1
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8. (a) 22.5 , 60 , 67.5 , 112.5 , 120 , 157.5° ° ° ° ° °

(b) 50 , 140° °
(c) 20 ,90 ,100 ,140° ° ° ° (d) 0 ,45 ,90 ,120 ,135 ,180° ° ° ° ° °

π 5π 3π
10. 0, , , ,2π
66 2
5λ
11. (a) tan (b) 126 ,− ° − 54 , 18 , 90 , 162° ° ° °
2

17A 2
12. (a) tan (b) cot π
2 3

Radians

Teaching steps
1. Design an activity which will assist students to understand
the concept of radian. Assist them in using Figure 6.6 in the
Student’s Book, which describes an arc of a circle, to deduce
the formula for converting degrees into radians and vice-versa.
2. Use Examples 6.45 to 6.48 in the Student’s Book to guide
students to apply the formula for converting degrees into
radians and vice-versa of the given problems. Engage students
to use scientific calculators and mathematical software to
verify answers from the given examples. Advise them to share
their findings through presentations.
3. Require students to attempt Exercise 6.8 in the Student’s Book.
Advise students to submit their work. Check the correctness of
their answers, and provide them constructive feedback.

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Mathematics for Advanced Secondary Schools

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ADVANCED MATH F.5 TG CHAPTERS.indd 121