Support · Mathematics Advanced 11–12 – Year 11 · Trigonometry and measure of angles
Support Use graphing applications or geometric construction to examine the ambiguous case of the sine rule, in which there are two possible solutions for an angle, and the condition for it to arise
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
Apply the sine rule and area rule to find angles involving the ambiguous case
Stage 5 · Trigonometry D (Path) Draft mapping
- VideoStarterCorbettmaths video: Trigonometry: sine rule (ambiguous case)Use it for: Short worked-example video on trigonometry: sine rule (ambiguous case) 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.
Apply the sine rule in a given triangle ABC to find the value of an unknown angle (ambiguous case excluded): sinA/a = sinB/b = sinC/c
Stage 5 · Trigonometry C (Path) Draft mapping
- Interactive toolStarterMaths Is Fun: The law of sinesUse it for: Sine rule with examples.
- Corbettmaths practice questions: Trigonometry: sine rule (sides)Use it for: Free printable graded practice questions (with answers) on trigonometry: sine rule (sides) for drill or a quick check.
- VideoStarterCorbettmaths video: Trigonometry: sine rule (angles)Use it for: Short worked-example video on trigonometry: sine rule (angles) to model the method before practice or for flipped revision.