Check your manual. Many of the monitors that can rotate have software that came with it that allows you to rotate your screen successfully.
I am not sure they are set up to easily switch between the two orientations, but let us know.
Erika
Architect, Consultant
MacBook Pro Retina, 15-inch Yosemite 2.8 GHz Intel Core i7 16 GB 1600 MHz DDR3
Mac OSX 10.11.1
AC5-18
Onuma System
"Implementing Successful Building Information Modeling"