1. The problem statement, all variables and given/known data 1. Given a,b,c are acute angles and a + b + c =180. find the minimum of tan(a).tan(b).tan(c) 2. Prove that if a+b+c=90, then tan(a)+tan(b)+tan(c) >= 31/2 2. Relevant equations 3. The attempt at a solution I don't even have any ideas how should i start to find/prove them... any hints?