Variation 3 · answer guide
Inverse trigonometric functions — Scaled result check
Question
Show that .
This practice question was inspired by Question 11(d) in the 2023 NSW HSC Mathematics Extension 1 examination, © NESA. It is an original TestMum variation that practises the same mathematical idea, not an official NESA question.
Step by step
- State the final answer clearly in the form the question requested.Derivative: .
Common mistake: changing so many features that the new example no longer tests the same mathematical idea.
Verification: Differentiating the MG answer recovers the integrand.
Any mark labels are a TestMum study aid, not an official NESA marking allocation.
← Back to 2023 HSC Extension 1 paper Question 11(d)