Does a divorce take place if a husband says to his wife, "You are threefold divorced," and "You are unlawful to me like the back of my mother," while in a state of extreme anger?

The fatwa (definition) we follow states that extreme anger does not prevent a divorce from taking effect, unless it causes a complete loss of sanity. If you divorced your wife once and then took her back during her 'iddah (definition) (waiting period), and then uttered the words of triple divorce and dhihar (injurious assimilation); then, according to the fatwa we follow, your wife is irrevocably divorced from you with a major separation (baynunah kubra). She is not permissible for you unless she marries another man – a marriage of desire, not a marriage of analysis – and he consummates the marriage with her, and then he divorces her or dies, and her 'iddah expires. As for the dhihar, it does not take effect because it occurred after the separation. However, according to the view of some scholars, such as Ibn Taymiyyah, your triple divorce does not take effect, and you may take your wife back during her 'iddah, and you owe the expiation for dhihar. We advise presenting this issue to trustworthy scholars in the questioner's country due to the differing opinions and detailed interpretations involved.