Support · Mathematics Extension 1 11–12 – Year 11 · Further trigonometry

Support Examine the representations of acos⁡x + bsin⁡x as Rcos⁡(x±α) or Rsin⁡(x±α) with and without graphing applications, where a≠0 and b≠0

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

Find approximations of the trigonometric ratios for a given angle

Stage 5 · Trigonometry A Draft mapping

No checked resources on this prerequisite dot point yet.

Solve a variety of practical problems involving trigonometric ratios in right-angled triangles

Stage 5 · Trigonometry A Draft mapping

  • WorksheetDrill
    Kuta free worksheet: Solving right triangles
    Kuta Software · PDF · Printable PDF · Free · Link checked 2026-10-15 · Answers included, No prep, Printable
    Use it for: Printable skills-practice sheet with answer key on solving right triangles; good for drill or homework.

Use graphing applications to verify the area rule A = 1/2absin⁡C.

Stage 5 · Trigonometry C (Path) Draft mapping

  • Interactive toolStarterEnrichment
    Desmos Graphing Calculator
    Desmos · Interactive (browser) · Free · Link checked 2026-10-15 · No prep
    Use it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.
  • Interactive toolEnrichment
    GeoGebra Classic
    GeoGebra · Interactive (browser) · Free · Link checked 2026-10-15 · No prep
    Use it for: Dynamic geometry and graphing for constructions and proofs.