Practice variation 1 of 3
Inverse trigonometric functions — Uniqueness then solve 3pi/4
Your question
(i) Explain why has exactly one real solution for each . Hence,
(ii) Solve .
This practice question was inspired by Question 14(c) in the 2024 NSW HSC Mathematics Extension 1 examination, © NESA. It is an original TestMum variation that practises the same mathematical idea, not an official NESA question.
Before you check
- Have you stated every choice or assumption?
- Can another student follow each line?
- Did you verify the final result independently?