It's not quite as easy as jwax said, and he's missing a lot of important analysis.
First, the right to counsel attaches automatically at indictment, but we treat waiver differently depending on whether the defendant has INVOKED the right and either asked for an attorney or else had one present w/ him at arraignment.
If the Def has NOT invoked his right to an attorney, then officers can Mirandize him and if he waives, that waiver is good for the 6th Amdt.
If the Def. HAS invoked his right to an attorney, the cops cannot talk to him at all except in one of 2 circumstances: 1) the defendant's attorney is present for the interaction w/ police, or 2) the defendant initiates the conversation AND also gives a valid waiver of his rights (Miranda will suffice here). This is essentially the Edwards rule from the 5th Amdt transposed onto the 6th Amdt.
So generally, waivers for Miranda warnings suffice for 6th Amdt purposes, but there's a slightly different analysis depending on whether the defendant invoked his rights. On the bare facts you gave in your OP, if the officer did nothing but give him a cigarette upon request (and there was no evidence that the officer knew this was likely to elicit information), a Miranda waiver would suffice, and would do so likely even if the Def. invoked his right since, as jwax said, the conversation was initiated by the defendant.