Trigonometry
Build and connect the representations and methods in trigonometry.
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Before you begin
Build and connect the representations and methods in trigonometry.
Learning goals
- Use and justify Pythagoras’ theorem
- Use trigonometric ratios in right-angled triangles
Syllabus statements covered
- use of Pythagoras’ theorem • determining whether a triangle is right-angled given the lengths of three sides • use of trigonometric ratios (sine, cosine and tangent) of acute angles to calculate unknown sides and angles in right-angled triangles (including problems involving angles of elevation and depression)
- use of Pythagoras’ theorem
- determining whether a triangle is right-angled given the lengths of three sides
- use of trigonometric ratios (sine, cosine and tangent) of acute angles to calculate unknown sides and angles in right-angled triangles (including problems involving angles of elevation and depression)
Lessons
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- Pythagoras and its converseG1 Mathematics 2027 · Normal (Technical) Secondary 2 Mathematics 2021Use the side opposite a right angle and test whether three lengths form a right triangle.
- Right-triangle sine, cosine and tangentG1 Mathematics 2027 · Normal (Technical) Secondary 3–4 Mathematics 2022Name sides relative to the chosen acute angle and choose a ratio using the available quantities.
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