(Can be in D1 or D2)
Mine just happened yesterday while patrolling the Moon.
I killed a Nightmare Ogre point-blank with a grenade launcher (blowing myself up in the process) and he dropped an exotic.
It was Monte Carlo. I almost died of laughter.
So I guess if you want an exotic, just perform a ritual sacrifice.
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#destiny2
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During vanilla D1 I joined the Winter's Run strike at the boss, got 7 kills and got an Icebreaker I felt so bad. Last week got a Monte Carlo from dusting a Trove Guardian on the moon. I'm pretty positive that thing had / has an increased chance to drop it since I've heard a few people got it there.