Support · Mathematics Advanced 11–12 – Year 11 · Trigonometric identities and equations
Support Prove the complementary angle identities sin(90° - θ) = cosθ, cos(90° - θ) = sinθ, tan(90° - θ) = cotθ, cot(90° - θ) = tanθ, sec(90° - θ) = cosecθ and cosec(90° - θ) = secθ identifying the angles to be excluded in each identity
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
Describe an identity as an equation that is true for all values of the pronumeral and relate the identity to coincident lines
Stage 5 · Equations C (Path) Draft mapping
- Corbettmaths practice questions: Identities, Formula, Equations etcUse it for: Free printable graded practice questions (with answers) on identities, formula, equations etc for drill or a quick check.
- VideoStarterCorbettmaths video: Identities, Formula, Equations etcUse it for: Short worked-example video on identities, formula, equations etc to model the method before practice or for flipped revision.
Graph quadratic relationships of the form y = (ax)² + bx + c by identifying and applying features of parabolas and their equations without graphing software
Stage 5 · Non-linear relationships 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 toolStarterMaths Is Fun: Graphing quadratic equationsUse it for: How to sketch parabolas from intercepts and vertex.
- VideoStarterCorbettmaths video: Quadratic graphs: sketching using key pointsUse it for: Short worked-example video on quadratic graphs: sketching using key points to model the method before practice or for flipped revision.