JTAG and RGH are methods of hacking the Xbox 360 console, allowing users to run custom code, including homebrew applications and pirated games. JTAG (Joint Test Action Group) is a hardware hack that involves soldering a chip to the Xbox 360's motherboard, enabling the console to run unsigned code. RGH (Reset Glitch Hack), on the other hand, is a software-based hack that exploits a vulnerability in the Xbox 360's kernel, allowing users to inject custom code into the console.