Support · Mathematics Extension 1 11–12 – Year 12 · Inverse trigonometric functions
Support Use the properties sin^(- 1)(- x) = - sin^(- 1)x, cos^(- 1)(- x) = π - cos^(- 1)x, tan^(- 1)(- x) = - tan^(- 1)x and cos^(- 1)x + sin^(- 1)x = π/2 to solve problems, simplify expressions and prove results
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
Determine the formulas d/dx(sinx) = cosx and d/dx(cosx) = - sinx informally by using the graphs of y = sinx and y = cosx and verify with graphing applications
Mathematics Advanced 11–12 – Year 12 · Differential calculus 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.
Use the chain rule to differentiate functions of the form sinf(x), cosf(x) and tanf(x)
Mathematics Advanced 11–12 – Year 12 · Differential calculus Draft mapping
No checked resources on this prerequisite dot point yet.
Establish the identities tanθ = sinθ/cosθ and cotθ = cosθ/sinθ, identifying the angles to be excluded in each identity
Mathematics Advanced 11–12 – Year 11 · Trigonometric identities and equations Draft mapping
No checked resources on this prerequisite dot point yet.