Yesterday, one of my students asked me:
"Can I use floor($x$)=[$x$] when $x$ is an angle measured in degrees? In fact, is [$30^{o}, 5'$] allowed to be just $30^{o}$?"
I answered him:
"As the floor function is defined for $x$ when $x$ is a real number so, this function can not be used for measured angles when they are in degrees."
Are there any helpful suggestions?
Thanks so much.