Practice variation 3 of 3
Trigonometric equation — Polynomial in t=sin x
Your question
Let . Factor completely over the reals and state the roots.
This practice question was inspired by Question 11(g) 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?