
We have two controls, the slider and the editext field with spinbuttons. We could simply use the slider for coarse steps (1 degree) and the spinbuttons for fine steps (0,1 degree).
The hundredths are used in only very rare cases, I think, there's no need for having a convenient way for entering at all.
#HM1: Rotate dialog with spinbutton and toolbar buttons.

The dialog might look like above (I've basically taken marsh's example5 and changed it a bit).
The symbols for the toolbar buttons for "Zero" and "Previous values" are just samples or even empty.