After using Remote Desktop (mstsc.exe) to connect to a computer, the host computer often gets confused about how to draw maximized windows. Since "Auto-hide the taskbar" is not checked, maximized windows should stop at the taskbar... but they don't - they go to the bottom of the screen behind the taskbar. I see similar problems when I open "Taskbar and Start Menu Properties" - the window is aligned with the bottom of the screen behind the taskbar.
The quickest fix that I've found is to change a setting in "Taskbar and Start Menu Properties", change it back, and click "OK". Presto chango - the screen redraws and windows now maximize correctly. Notice how the properties window now aligns correctly and the browser window status bar in the background is visible.
Before:
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After:
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