Page 131 - ADVANCED MATH F.5

Form Five Form Five

8. Domain =   x∈ : x ≠  (2n + ) 1 π , n ∈   
 2 
 1 1
Range =  y∈  :except − < y < 
 2 2 
FOR ONLINE READING ONLY
9. Domain = {x∈ :0 ≤≤ } , Range = {y∈ : 6−≤ ≤ } 6
y
x π

10. Domain = − 2π x 2 , xπ ≤ ≤ ≠± π , ± 3π  

 2 2 
Range = { :yy ∈ }

Graphs of sine and cosine functions
Teaching steps
1. Guide students through discussion to draw graphs of sine and
cosine functions. Assist students to perform Activity 6.5 in the
Student’s Book on drawing graphs of f (θ) = sin θ. Ask them to
draw graphs of other trigonometric functions and explore their
properties.
2. Use Examples 6.54 and 6.55 in the Student’s Book to guide
students to draw graphs of trigonometric functions and explore
their properties. Engage students to use GeoGebra or any other
mathematical software to verify the answers for the given
examples.

Inverse trigonometric functions
Teaching steps

1. Introduce to students through discussion the inverse
trigonometric sine, cosine, tangent, cotangent, secant, and
cosecant. Assist them in identifying the domain of sine, cosine,
and tangent functions.

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Mathematics for Advanced Secondary Schools

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