Sine sequence of natural numbers

“I want to prove that $$\sup_{n \in \Bbb N}{\sin (n)} = 1$$ I was thinking of proving that some set related to $\pi$ is dense in $\Bbb R$ that will then imply there is some $n \in \Bbb N$ s.t….” (See below)   https://math.stackexchange.com/q/991668 VKFacebookTwitterGoogle+PinterestLiveJournalLinkedIn