TR-MO-R1 2012 Problem 27

Tüm $x$ gerçel sayıları için, $\sin x \cos x \leq C\,(\sin^6 x + \cos^6 x)$ olmasını sağlayan en küçük $C$ gerçel sayısı nedir?

a) $\sqrt{3}$ b) $2\sqrt{2}$ c) $\sqrt{2}$ d) $2$ e) Hiçbiri

Official text Turkish Mathematical Olympiad, first round 2012 official paper, page 8. Quoted with source.

A model read this text from the scan of the paper by OCR, with vision/claude@2.1.318 (claude-opus-5-5). No person has checked it against the paper yet.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

Add a solution

Solutions

Similar problems