For this trophy, you need to play on the map Moon with at least two players (including yourself).
Basically, what needs to happen is that the excavators of tunnel 6 & 11 both need to drill into their tunnels. When they're both in the tunnels, one player (the player that wants the trophy) needs to be in the starting room (where ths quick revive soda is), and the other player needs to be on the other side of the drills, for instance next to the pyramid, or in the Dome.
Once the excavators are both down, the player by the revive soda can't get to the location of the other player, since both routes are blocked. He is now 'trapped' in the receiving area.
The resurrection Treyarch is talking about is simply dying and respawning the next round. So when the round is nearly finished, the player in the starting area kills himself (Treyarch wants you to kill yourself by jumping down the cliff, hence the name of the trophy. This is not necessary however), and the other player kills the remaining zombies and ends the round.
Then, when the new round begins and the first player respawns, he will get the trophy.
*Edit 26/11/2015*
When someone gets the trophy, the oh-so awesome song 'Nightmare' by Avenged Sevenfold will start to play. (It will be audible for everyone) Even if you do the proces for this trophy multiple times in one game, the song will only play once.