Yup, I feed my tank live brine shrimp. I usually have some going, at different stages. I raise them in greenwater- phyto culture- so their nutritional value s higher. I know that some people don't like brine shrimp, calling them the equivalent of potato chips, but the nutritional profile on them is actually pretty good. Not as good as copepods, but still good.
Feeding the brine shrimp selcon before feeding them to your tank also raises their nutritional value. Another good point is that,as someone already pointed out, fish go nuts for them- they can be invaluable in getting finicky fish to eat. When I first got my male scooter "blenny" (they're actually dragonets, related to mandarins), he was very skinny, and didn't seem to be fattening up off of the tank zooplankton or pellet food, so I fed him brine shrimp- I'd strain out a whole bunch, them put them in a glass jar. I'd place the jar on the sand, with the open end angled
down towards the sand (to keep the brine shrimp in- they'd gather at the top corner to try to get closer to the light), and he could scoot in there and snarf them down. I was also able to train him to take flake and pellet food this way- I'd add a bit to the jar with the brine shrimp, and he figured out that it's food, even if it isn't moving.
He's now the fattest scooter I've ever seen, with brilliant colors.
Her's a good article discussing them.