You should turn up your TV volume - even on Legendary, Cortana eventually says "board his chair" exasperatedly. But yeah I had no clue how to kill him - I rocketed his chair, threw frag grenades, and sliced him with the energy sword.
I found the energy sword the best weapon, since there was basically an infinite supply of swords from dead elites. The PP-BR combo worked well too, but since I'm not that good at aiming with a gamepad (and thus I suck at headshotting on a gamepad), I preferred the sword.
Trying to kill elites on legendary is suicide, or that's what happened to me when I did that. If I slash him, he won't die in 1 hit, but if he melees me on legendary (sword or no sword, doesn't matter), I die at once.
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