Support · Mathematics Extension 1 11–12 – Year 12 · Inverse trigonometric functions
Support Use graphing applications to explore reflections, translations and dilations of the functions f(x) = sin^(- 1)x, f(x) = cos^(- 1)x and f(x) = tan^(- 1)x, and confirm that the principles of transformations hold for the inverse trigonometric functions
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.
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Prerequisite dot points
Use graphing applications to explore reflections, translations and dilations of, and confirm that the principles of transformations hold for, the trigonometric functions f(x) = sinx, f(x) = cosx and f(x) = tanx
Mathematics Advanced 11–12 – Year 12 · Further graph transformations and modelling 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.
Apply the principles of transformations to graph transformations of the trigonometric functions f(x) = sinx, f(x) = cosx and f(x) = tanx, describe which transformations have been applied to y = f(x) and determine the domain, range, horizontal translation, vertical translation, dilation factor, period and amplitude when applicable
Mathematics Advanced 11–12 – Year 12 · Further graph transformations and modelling Draft mapping
No checked resources on this prerequisite dot point yet.
Apply reflections, translations and dilations to functions within the scope of the Mathematics Advanced course, excluding trigonometric functions, determine the function rule and the graph of the transformed function, the domain and range of the transformed graph, any intercepts, asymptotes and discontinuities where appropriate, and describe which transformations have been applied
Mathematics Advanced 11–12 – Year 11 · Graph transformations Draft mapping
No checked resources on this prerequisite dot point yet.