Tethered does work if you reboot. Just hook it up to your PC, follow the directions you used to boot it tethered the first time and you're good.
Or, don't let it die. I jailbroke my iPhone, and it has iOS 6. Yeah, some of the Cydia apps don't work, but I only use a few.
The Cydia apps cost money anyway.
A majority of them don't.