Is it permissible for a couple to live together again after the husband has repeatedly divorced his wife during periods of anger, followed by their reconciliation?

Anger does not prevent the occurrence of divorce unless the person experiencing it is unaware of what he is saying. If the divorce is issued by the husband's choice and is repeated for three pronouncements, the wife becomes irrevocably divorced (baynunah kubra) and is unlawful for him until she marries another man. Reconciling (raj'ah) is permissible after the first and second pronouncements, but with the third pronouncement, the wife becomes irrevocably divorced (baynunah kubra).