Practice variation 3 of 3
Inverse trigonometric functions — Uniqueness then solve with 4x and 6x
Your question
(i) Explain why , where , has exactly one real solution.
(ii) Hence 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?