Support · Mathematics Advanced 11–12 – Year 11 · Trigonometry and measure of angles
Support Use Pythagoras’ theorem to find the exact sine, cosine and tangent ratios for angles of 30°, 45° and 60°
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.
Prerequisite dot points
Derive and apply the exact sine, cosine and tangent ratios for angles of 30°, 45° and 60°
Stage 5 · Trigonometry D (Path) Draft mapping
- Corbettmaths practice questions: Trigonometry: Exact valuesUse it for: Free printable graded practice questions (with answers) on trigonometry: exact values for drill or a quick check.
- WorksheetDrillKuta free worksheet: Special right triangles (exact values)Use it for: Printable skills-practice sheet with answer key on special right triangles (exact values); good for drill or homework.
- VideoStarterCorbettmaths video: Trigonometry: Exact valuesUse it for: Short worked-example video on trigonometry: exact values to model the method before practice or for flipped revision.
Use graphing applications to examine graphs of the sine, cosine and tangent functions for angles of any magnitude, including negative angles
Stage 5 · Trigonometry D (Path) Draft mapping
- Desmos Graphing CalculatorUse it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.
- Interactive toolEnrichmentGeoGebra ClassicUse it for: Dynamic geometry and graphing for constructions and proofs.
- PhET Trig TourUse it for: Connect the unit circle to sin, cos and tan graphs.
- Corbettmaths practice questions: Trigonometry: Sine graphUse it for: Free printable graded practice questions (with answers) on trigonometry: sine graph for drill or a quick check.
- VideoStarterCorbettmaths video: Trigonometry: Cosine graphUse it for: Short worked-example video on trigonometry: cosine graph to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Trigonometry: Sine graphUse it for: Short worked-example video on trigonometry: sine graph to model the method before practice or for flipped revision.
- VideoStarterCorbettmaths video: Trigonometry: Tangent graphUse it for: Short worked-example video on trigonometry: tangent graph to model the method before practice or for flipped revision.
Define the sine, cosine and tangent ratios for angles in right-angled triangles and use trigonometric notation sinθ,cosθ,tanθ
Stage 5 · Trigonometry A Draft mapping
- Interactive toolStarterMathigon: Trigonometry (interactive course)Use it for: Introduce sine, cosine and tangent as constant ratios in similar right-angled triangles.
- Interactive toolStarterMaths Is Fun: SOHCAHTOAUse it for: Trig ratios with an interactive triangle.
- Corbettmaths practice questions: Trigonometry introductionUse it for: Free printable graded practice questions (with answers) on trigonometry introduction for drill or a quick check.
- VideoStarterCorbettmaths video: Trigonometry introductionUse it for: Short worked-example video on trigonometry introduction to model the method before practice or for flipped revision.