1. The problem statement, all variables and given/known data Is it true or false that [tex]\exists c>0 s.t. \forall n \in N, |sin n|> c, [/tex] Justify your answer 2. Relevant equations 3. The attempt at a solution I figure it is true, because [tex] n != (k-1)\pi \forall n,k \in N, so |sin n|>0 \forall n[/tex] It seems fairly obvious to me that if |sin n|>0 then there are an infinite number of possible values I can assign for c and have it be between 0 and |sin n|. Is this self evident enough to simply state? Or is there a way to prove this formally? Or am I simply wrong?