Page 117 - ADVANCED MATH F.5

Form Five Form Five

(j) Determining the domain and range of inverse trigonometric
functions

Teaching and learning resources
FOR ONLINE READING ONLY
Scientific calculator, Mathematical software such as Maple, GeoGebra,
Symbolab, MATLAB, Mathematica, AI tools, Manila cards, pairs of
scissors, rubber band, flip charts, marker pens, ruler, pencils, masking
tapes, glue, geo-boards, graph papers, mathematical sets, and colored
chalks.

Trigonometric ratios

Teaching steps
1. Guide students through discussions to recall their previous
knowledge of trigonometric ratios. Assist students in groups to
deduce the formulae of trigonometric ratios through Activity
6.1 in the Student’s Book and other resources as suggested.
Advise them to present their findings in a flip chart or manila
cards, post them on the classroom walls, and do gallery walk
for improvements.
2. Guide students through discussion on how to use Figure 6.1
of the right-angled triangle in the Student’s Book to derive
Pythagoras’ theorem. Lead them to recognize the reciprocals
of the trigonometric functions; sine, cosine, and tangent.
3. Use Examples 6.1, 6.2, and 6.3 in the Student’s Book to guide
students to use the trigonometric ratios and the Pythagoras’
theorem to solve the given problems. Engage students in
groups to use mathematical software to verify answers from
the given examples. Advise them to share their findings through
presentations.
4. Require students to attempt Exercise 6.1 in the Student’s Book.
Advise them to submit their work. Check the correctness of
their answers, and provide them constructive feedback where
necessary.

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