ACARA AC9M9SP01, Trigonometric ratios

Year 9 · Space

Recognise that the sine, cosine and tangent ratios stay constant for a given angle in right-angled triangles because of similarity.

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Pythagoras' theorem and trigonometry

Year 9 (ages 14 to 15)

Teaching guide

What students learn

Recognise that the sine, cosine and tangent ratios stay constant for a given angle in right-angled triangles because of similarity.

Worked example

A right triangle has legs 9 and 40. Find the hypotenuse.

Answer: 41

Why: sqrt(9^2 + 40^2) = sqrt(81 + 1600) = sqrt(1681) = 41

Generated and checked in code, so it is correct.

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More Year 9 Space codes: AC9M9SP02 · AC9M9SP03

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Australian Curriculum content descriptions (c) ACARA, used under CC BY 4.0. Descriptions are paraphrased. See australiancurriculum.edu.au.