Yep. My philosophy is to always cooperate (unless they ask for something super egregious) and show myself as friendly. This immediately reduces the alarms in their heads. I even say things like "sure guys, here are my docs, here are the contents of my backpack, hope you catch the guy you are after" and smile.
Very often the mere fact that you are not trouble makes them pay less attention and the whole thing ends really quickly.
Very often the mere fact that you are not trouble makes them pay less attention and the whole thing ends really quickly.