Here’s the other type of smile.  From Wikipedia. 

  • The “Pan American smile”, on the other hand, is the voluntary smile involving only the zygomaticus major muscle to show politeness; for example, by a flight attendant on the former airline of the same name. Considered “insincere”, this type of smile has also been called the “Professional Smile” by David Foster Wallace in his comedic short story A Supposedly Fun Thing I’ll Never Do Again“.

I recommend clicking on the link for “A Supposedly Fun Thing I’ll Never Do Again”.  It’s hilarious.

For type of smile #1, go here.