Support · Stage 5 · Trigonometry C (Path)

Support 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

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

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 the constancy of the sine, cosine and tangent ratios for a given angle by applying knowledge of similar right-angled triangles

Stage 5 · Trigonometry A Draft mapping

  • Interactive toolStarter
    Mathigon: Trigonometry (interactive course)
    Mathigon (Amplify) · Interactive (browser) · Free · Link checked 2026-10-15 · Hands-on, No prep
    Use it for: Introduce sine, cosine and tangent as constant ratios in similar right-angled triangles.
  • Interactive toolStarter
    Mathsisfun: Sine, cosine, tangent
    Maths Is Fun · Interactive (browser) · Free · Link checked 2026-10-15 · No prep
    Use it for: Drag a triangle to see ratios stay constant.

Identify the sine, cosine and tangent ratios in a right-angled triangle

Stage 5 · Trigonometry A Draft mapping

  • Interactive toolEnrichment
    Mathigon: Triangles and Trigonometry
    Mathigon (Amplify) · Interactive (browser) · Free · Link checked 2026-10-15 · Hands-on, No prep
    Use it for: Interactive lessons building to Pythagoras and trig ratios.
  • Interactive toolStarter
    Mathsisfun: Sine, cosine, tangent
    Maths Is Fun · Interactive (browser) · Free · Link checked 2026-10-15 · No prep
    Use it for: Drag a triangle to see ratios stay constant.
  • WorksheetDrill
    Kuta free worksheet: Finding trig ratios
    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 finding trig ratios; good for drill or homework.
  • WorksheetDrill
    Kuta free worksheet: Trig ratios
    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 trig ratios; good for drill or homework.