In 2364, the T'Acog was sent to apprehend the Klingon criminals Korris, Konmel, and Kunivas, who had commandeered the Talarian freighter Batris. By feigning a power failure, the fugitives were able to lure the T'Acog into close range, and then destroyed it with a barrage of merculite rockets when the cruiser lowered its shields to board the freighter. There were no survivors. (TNG: "Heart of Glory")
Background information Edit
Despite the ship's name being spelled as "T'Acog" in both the Encyclopedia and the episode's shooting script, K'Nera mispronounces the ship's name as "K'Atog" in the only occasion when the ship's name is mentioned in dialogue.
The Star Trek: Star Charts (p. 65) depicts a T'Acog star system in or near Klingon space, for which the ship may be named. The system contained a single B class star with a magnitude of +7 (1/10 the brightness of Sol), and was the site of a historic battle.
The Starships RPG sourcebook gives its registry as IKC-7750.