Support · Stage 5 · Trigonometry D (Path)
Support Use the unit circle or graphs of trigonometric functions to establish and apply the relationships sinA = sin(180° - A), cosA = - cos(180° - A), and tanA = - tan(180° - A) for obtuse angles when 0° ≤ A ≤ 90°
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
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.
Use graphing applications to verify the sine rule a/sinA = b/sinB = c/sinC and that the ratios of a side to the sine of the opposite angle is a constant
Stage 5 · Trigonometry C (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.
- Interactive toolStarterMathigon: Sine and cosine rulesUse 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 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.