Page 130 - ADVANCED MATH F.5

Form Five Form Five

reference books, to enrich their understanding of the domain
and range of trigonometric functions.
3. Use Examples 6.52 and 6.53 in the Student’s Book to guide
students to determine the domain and range of trigonometric
FOR ONLINE READING ONLY
functions. Engage students to use mathematical software to
verify answers of the given examples. Advise students to share
their findings for improvement.

4. Instruct students to attempt Exercise 6.10 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 6.10

1. Domain =   x∈ : x ≠  (2n + ) 1 π , n ∈   
 2 
Range = {y∈ :except 1 y− < < } 1

2. Domain =   x∈ : x ≠  π + π n , n ∈    , Range = {y∈ }
 4 2 

3. Domain = {x∈ : x ≠± , π 2 ,π ± 3 ,...π ± }
Range = { :yy ∈ }

4. Domain = {x∈ : x ≠  0, π ± , ± 2 , 3 ,...π π ± }

Range = {y∈ : y∈ (−∞ , 1] [1,− ∪ ∞ } )
 π 3π 5π 
5. Domain =  x∈ : x ≠± ,± ,± ,... 
 4 4 4 
Range = {y∈ :except 1 y− < < } 1

y
6. Domain = {x∈ : π −≤ ≤ } , Range = {y∈ : 2−≤ ≤ } 2
x π
 π π n 
7. Domain =  x∈ : x ≠  + , n∈   , Range = { :yy∈ }

 4 2 

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Mathematics for Advanced Secondary Schools

30/06/2024 18:02:30
ADVANCED MATH F.5 TG CHAPTERS.indd 124
ADVANCED MATH F.5 TG CHAPTERS.indd 124 30/06/2024 18:02:30