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

Support Examine the proof of the sine rule a/sin⁡A = b/(sin⁡B) = c/sin⁡C, cosine rule c² = a² + b² - 2abcos⁡C and the area of a triangle formula A = 1/2absin⁡C for a given triangle ABC

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

Interactive toolStarter
Maths Is Fun: The law of sines
Maths Is Fun · Interactive (browser) · Free · Link checked 2026-10-15 · No prep
Use it for: Sine rule with examples.
WorksheetDrill Exit ticket
Corbettmaths practice questions: Trigonometry: sine rule (sides)
Corbettmaths · Web page · Free · Link checked 2026-10-15 · Answers included, No prep, Printable
Use it for: Free printable graded practice questions (with answers) on trigonometry: sine rule (sides) for drill or a quick check.
VideoStarter
Corbettmaths video: Trigonometry: sine rule (angles)
Corbettmaths · Video · Free · Link checked 2026-10-15 · No prep
Use it for: Short worked-example video on trigonometry: sine rule (angles) to model the method before practice or for flipped revision.

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 toolStarter Enrichment
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.

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.