← 2021 HSC Extension 1 paper Question 11(f)

Variation 3 · answer guide

Inverse trigonometric functions — Full quarter to radius

Question

Evaluate .

This practice question was inspired by Question 11(f) in the 2021 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..

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

Verification: Geometrically a quarter-circle of radius in the - substitution sense; value .

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

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