Some parts of Arizona have specific standards that apply. The cities of Phoenix, Tempe, and Tucson have all established temperature ordinances related to cooling.
If your landlord does not make the repair within the allotted time, you may also have other options. Landlord-tenant laws in Arizona may allow you to terminate your lease or sue for damages under certain circumstances (such as medical bills or paid rent, per A.R.S. §33-1364). It is always recommended that you speak with an attorney before attempting to terminate your own lease, deducting the cost for any rental repairs, or asking for damages.