Practice variation 1 of 3
Trigonometric identity — Identity then tan equals 1
Your question
(i) The numbers , and are related by and , where is a constant. Show that .
(ii) Hence, or otherwise, solve for .
This practice question was inspired by Question 13(d) 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.
Before you check
- Have you stated every choice or assumption?
- Can another student follow each line?
- Did you verify the final result independently?