Inverse trigonometric functions, further identities and trigonometric equations, treated graphically and algebraically.
These are the statements the Mathematics Extension 1 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.
The restricted domains that make inverse trigonometric functions well defined, their graphs, and their derivatives.
Double-angle, sum-to-product and t-formula identities, and choosing the identity that simplifies rather than complicates.
Equations requiring an identity before they can be solved, and solutions expressed over a general domain.
Pythagorean, sum and double-angle identities, and solving equations that require the general solution.
HSC Mathematics Extension 1 - Trial Paper Shape is 70 marks in 120 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 Extension 1 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 6 in Mathematics Extension 1. Students routinely lose marks because a question spans two modules, so the neighbouring modules are worth reading next to this one.
Dux diagnoses Mathematics Extension 1 dot point by dot point, then writes questions in the shape this course marks. Written answers come back marked against the bands.