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SMO 2009 Open Round 1 Question 1

SMO · SMO 2009 Open Round 1

Question 1

The expression $1000\sin10^\circ\cos20^\circ\cos30^\circ\cos40^\circ$ can be simplified as $a\sin b^\circ$, where $a,b$ are positive integers with $0\lt b\lt 90$. Find $100a+b$.