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Support · Mathematics Standard 11–12 – Year 12 – Standard 2 · Trigonometry

Support Apply the sine rule sin⁡A/a = sin⁡B/b = sin⁡C/c in a given triangle ABC to find the value of an unknown angle, excluding the ambiguous case

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

Apply the sine rule in a given triangle ABC to find the value of an unknown angle (ambiguous case excluded): sin⁡A/a = sin⁡B/b = sin⁡C/c

Stage 5 · Trigonometry C (Path) Draft mapping

Use graphing applications to verify the sine rule a/sin⁡A = b/sin⁡B = c/sin⁡C and that the ratios of a side to the sine of the opposite angle is a constant

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.
  • Interactive toolStarter
    Mathigon: Sine and cosine rules
    Mathigon (Amplify) · Interactive (browser) · Free · Link checked 2026-10-15 · Hands-on, No prep
    Use it for: Explore where the sine and cosine rules come from, then apply them.

Apply the sine rule in a given triangle ABC to find the value of an unknown side

Stage 5 · Trigonometry C (Path) Draft mapping