Radian measure, the trigonometric functions as graphs rather than triangle ratios, identities and equations.
These are the statements the Mathematics Advanced syllabus makes about Trigonometric Functions. Dux records each one against the questions you answer, so you can see which of them you have actually been tested on and which have never been asked.
Amplitude, period, phase and vertical shift, and how each parameter changes the graph.
Radians as arc length per radius, arc length and sector area, and why calculus requires radian measure.
Pythagorean, reciprocal and compound-angle identities, and simplifying an expression by choosing the identity that removes the complexity.
Solving equations over a stated domain, including the general solution and why multiple answers are usually expected.
Secant, cosecant and cotangent, their graphs, and rewriting an expression in terms of sine and cosine to simplify it.
The restricted domains that make inverse sine, cosine and tangent functions, and the range each returns.
HSC Mathematics Advanced - Trial Paper Shape is 100 marks in 180 minutes. Questions on Trigonometric Functions are not one shape repeated: the command word decides what the marker is looking for, and the mark value decides how much of it. These are the ones Mathematics Advanced uses.
Dux writes practice for this module in exactly these shapes, so the drill is the same task the paper sets — not a general knowledge quiz with the module name on it.
Trigonometric Functions is module 2 of 5 in Mathematics Advanced. Students routinely lose marks because a question spans two modules, so the neighbouring modules are worth reading next to this one.
Dux diagnoses Mathematics Advanced dot point by dot point, then writes questions in the shape this course marks. Written answers come back marked against the bands.