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Support · Mathematics Advanced 11–12 – Year 11 · Trigonometry and measure of angles

Support Use the definitions cos⁡θ = x/r, sin⁡θ = y/r and tan⁡θ = y/x to evaluate sin⁡θ, cos⁡θ and tan⁡θ where θ is a multiple of 90°, and identify the values of θ for which these ratios are undefined

Resources for the prerequisite content of this dot point: earlier-stage (or earlier sub-level) dot points in the same strand that students usually need first. Use these to fill gaps before or alongside the core lesson.

Prerequisite links are draft mappings generated from the syllabus structure (earlier stage, same strand, closest content). They are being reviewed by teachers. Spot a poor match? Tell us.

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Prerequisite dot points

Use the unit circle or graphs of trigonometric functions to establish and apply the relationships sin⁡A = sin⁡(180° - A), cos⁡A = - cos⁡(180° - A), and tan⁡A = - tan⁡(180° - A) for obtuse angles when 0° ≤ A ≤ 90°

Stage 5 · Trigonometry D (Path) Draft mapping

No checked resources on this prerequisite dot point yet.

Define the sine, cosine and tangent ratios for angles in right-angled triangles and use trigonometric notation sin⁡θ,cos⁡θ,tan⁡θ

Stage 5 · Trigonometry A Draft mapping

Verify and use the relationships between the sine and cosine ratios of complementary angles in right-angled triangles: sin⁡A = cos⁡(90° - A) and cos⁡A = sin⁡(90° - A)

Stage 5 · Trigonometry D (Path) Draft mapping

No checked resources on this prerequisite dot point yet.