Does a triple divorce occur with the words "you are divorced by three" in a state of extreme anger, without the intention of divorce, and based on the wife's request and insult, with the husband's desire to take her back?

The fatwa is that the wife has been irrevocably divorced with a major divorce (talaq bain kubra), and it is not permissible for him to remarry her unless she marries another man willingly, and he consummates the marriage with her, and then divorces her or dies, and her waiting period (iddah) from him ends.

However, if the husband's anger completely deprived him of his sanity at the time he uttered the divorce, then the divorce does not take effect in this case.

Some scholars are of the opinion that divorce does not take effect in a state of severe anger, even if sanity is not completely lost. Some others hold the view that uttering the triple divorce counts as a single divorce.

Given the details and differing opinions on this matter, it is best to present it to a trusted scholar in the questioner's country.