Certified GKH Gardening Expert
The following articles also should be of some help to you: https://www.gardeningknowhow.com/houseplants/hpgen/how-to-water-a-plant.htm
What size are your pots? If these are in small pots, they will dry out in a matter of a few hours. AZ is like Texas - just blamed hot and rainless. If in small pots, I would transplant into larger pots and try to water twice a day until they are well established. It is probably just stressed since rosemary is tough.