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← 2022 HSC Extension 1 paper Question 13(c)

Variation 3 · answer guide

Inverse function — Cosine analogue

Question

Is the inverse of on all of ? Justify.

This practice question was inspired by Question 13(c) in the 2022 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

  1. State the final answer clearly in the form the question requested.No: is not one-to-one on ; e.g. .

Common mistake: changing so many features that the new example no longer tests the same mathematical idea.

Verification: Same logic as the sine case.

Any mark labels are a TestMum study aid, not an official NESA marking allocation.

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