In some applications, such as navigation -- in fact, probably all applications in the not-too-distant past -- it has been traditional to use DMS format (sexagesimal units). I am not aware of any reason to continue doing so, so I would say it is only needed if someone demands it. It's mostly a historical oddity, ultimately going back to the Babylonians' base-60 number system.
So some trigonometry courses still teach it, while others consider it unnecessary (especially since, if you need to do it, your calculator can often do it for you).