Hi Eagle,
From previous threads on the subject, it doesn't look like there is an easy fix using relays.
If that's the case, I'm sure one of the more "electrically" minded of us on here could come up with a solution. Surely it would just be a case of changing the single filament bulb to a twin filament, and wiring the two twin filament bulbs bulbs together. A new connector block would also be needed, I think.
Try this link:
http://www.triumphrat.net/tiger-mods...twin+headlight
or try "Tiger 1050.com" I'm sure they will have sorted it by now.
Good luck.