Page 116 - ADVANCED MATH F.5

Form Five Form Five

Trigonometry

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Introduction
In this chapter, students will learn about trigonometric ratios,
trigonometric identities, compound angle formulae, double angle
formulae, trigonometric equations, factor formulae, radians and
small angles, trigonometric functions, and inverse trigonometric
functions. Guide students to recognize some common methods of
identifying trigonometic ratios, simplifying small angles, deriving
compound angles, and factor formulae. Also, guide students to
solve trigonometric functions, trigonometric equations, inverse
trigonometric functions, draw graphs of inverse trigonometric
functions, and finding domain, and range. The competencies
developed will enable them in various real life situations such as
in solving problems related to astronomy, navigation, architecture,
oceanography, and in the drawing of maps.

Students’ activities
(a) Identifying trigonometric ratios
(b) Deducing compound angle and factor formulae
(c) Applying trigonometric equations in solving problems
(d) Recognizing small angles and their applications

(e) Recognizing trigonometric functions
(f) Sketching graphs of trigonometric functions
(g) Determining the domain and range of trigonometric functions
(h) Finding solutions of inverse trigonometric functions
(i) Sketching graphs of inverse trigonometric functions

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Mathematics for Advanced Secondary Schools

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ADVANCED MATH F.5 TG CHAPTERS.indd 110