Question 66
Find all polynomials $P$ with real coefficients for which there exists a polynomial $Q$ with real coefficients such that for all real $t$,
$$\cos (P(t)) = Q(\cos t).$$
$$\cos (P(t)) = Q(\cos t).$$
MathNet 2025 — Part 02 (100 complete bilingual questions) Question 66
Math Olympiad Vault · MathNet 2025 — Part 02 (100 complete bilingual questions)