BodyI would like to start by answering the questions as to why Kate is stark mad or wonderful forward to begin with. Kate has grown up being the loser in a competition with her sister in terms of suitors and the respect of there father. Baptista cherishes Bianca while not even defending Kate on the streets when people insulted, calling her too rough or fiend of hell. At the beginning of Act 2, it can be seen that Kate is jealous of Bianca. On top of that, Baptista automatically assumes that the fight was Kates fault and This combination of her frustration to the fact that that Bianca has an army of suitors while she seemingly will end up alone and the neglect, humiliation and lack of respect from her father can and did undoubtedly pushed her to become the angry person she is. Her isolation and anger is a cycle. Her strong-will and violence pushes people the people around her away, causing her to be more frustrated and angry which furthers her alienation. I believe Pertruchio was not successful in taming her but was successful freeing her of the cycle and showing her all the benefits of a better behavior.
Her anger towards herself and others due to loneliness is broken by Pertruchios will to