Right-angled and non-right-angled triangles, bearings, and the applications where the diagram is the problem.
These are the statements the Mathematics Standard 2 syllabus makes about Strand: Trigonometry. 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.
The sine, cosine and tangent ratios, and selecting the right one from the information given rather than by trial.
Angles of elevation and depression, bearings and three-dimensional problems, where drawing the correct triangle is the whole task.
The sine rule, cosine rule and area formula, and deciding which applies from the information available.
Trigonometric ratios for obtuse angles, including the ambiguous case of the sine rule and why two triangles can satisfy the same data.
Selecting between right-triangle trigonometry, the sine rule and the cosine rule from the information given, which is where most marks are lost rather than in the arithmetic.
HSC Mathematics Standard 2 - Trial Paper Shape is 100 marks in 150 minutes. Questions on Strand: Trigonometry 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 Standard 2 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.
Strand: Trigonometry is module 6 of 6 in Mathematics Standard 2. Students routinely lose marks because a question spans two modules, so the neighbouring modules are worth reading next to this one.
Dux diagnoses Mathematics Standard 2 dot point by dot point, then writes questions in the shape this course marks. Written answers come back marked against the bands.