Question 18
Let $A,B,C$ be the three angles of a triangle, and let $L$ be the maximum of $\sin3A+\sin3B+\sin3C$. Determine $\lfloor10L\rfloor$.
Here $\lfloor x\rfloor$ denotes the greatest integer less than or equal to $x$, as defined in the source paper.
Here $\lfloor x\rfloor$ denotes the greatest integer less than or equal to $x$, as defined in the source paper.