How do I open a remote desktop session on a secondary monitor?

I don't know if this helps, but in my experience, Windows tends to remember the monitor on which the app is maximized. Try opening RD on the second monitor, maximize it, close it, and see if it opens on the second monitor when you open it again.

"Open the RDP file in a text editor, find the

winposstr:s:0,1,xpos,ypos,width,height

Change the xpos and ypos in the RDP file and save it.

You can then have the window open consistently where you want it."

"A simpler way to do it is

Run Remote Desktop Connection (DO NOT EDIT RDP FILE)
Move the RDP dialogue to the monitor you want your session to be appearing
Click 'DISPLAY' tab and drag the slider to the extreme right for a full screen view

... It was that easy"
"A simpler way to do it is

Run Remote Desktop Connection (DO NOT EDIT RDP FILE)
Move the RDP dialogue to the monitor you want your session to be appearing
Click 'DISPLAY' tab and drag the slider to the extreme right for a full screen view

... It was that easy"

I found that if I move the remote desktop connection dialog to the second monitor and run it that it will open the session there. Then you can save that connection to a .rdp file and that should do it for you.

"In Windows 8 it's pretty simple and I guess you can do the same in Windows 7: Simply set the size of the remote desktop to the resolution of the secondary screen, open session and drag the window to the secondary screen. Maximize. Done.

This worked for me, possibly you might also have to press Ctrl+Alt+Break as suggested in another comment to make the fullscreen work."