Support · Mathematics Extension 1 11–12 – Year 12 · Inverse trigonometric functions

Support Evaluate and simplify expressions, and prove results using the definitions of sin^(- 1)x, cos^(- 1)x and tan^(- 1)x

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.

← Back to core resources

Prerequisite dot points

Apply trigonometric identities to solve problems, simplify expressions and prove further trigonometric identities using substitution and/or reduction to sin⁡x and cos⁡x

Mathematics Advanced 11–12 – Year 11 · Trigonometric identities and equations Draft mapping

No checked resources on this prerequisite dot point yet.

Determine the formulas d/dx(sin⁡x) = cos⁡x and d/dx(cos⁡x) = - sin⁡x informally by using the graphs of y = sin⁡x and y = cos⁡x and verify with graphing applications

Mathematics Advanced 11–12 – Year 12 · Differential calculus Draft mapping

  • Interactive toolStarterEnrichment
    Desmos Graphing Calculator
    Desmos · Interactive (browser) · Free · Link checked 2026-10-15 · No prep
    Use it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.
  • Interactive toolEnrichment
    GeoGebra Classic
    GeoGebra · Interactive (browser) · Free · Link checked 2026-10-15 · No prep
    Use it for: Dynamic geometry and graphing for constructions and proofs.

Evaluate trigonometric expressions using angles of any magnitude and complementary angle identities

Mathematics Advanced 11–12 – Year 11 · Trigonometric identities and equations Draft mapping

No checked resources on this prerequisite dot point yet.