When Katherine agrees with everything Petruchio says she ?

appears to have been tamed;

"At the banquet following Hortensio’s wedding to the widow, the other characters are shocked to see that Katherine seems to have been “tamed”—she obeys everything that Petruchio says and gives a long speech advocating the loyalty of wives to their husbands. When the three new husbands stage a contest to see which of their wives will obey first when summoned, everyone expects Lucentio to win. Bianca, however, sends a message back refusing to obey, while Katherine comes immediately. The others acknowledge that Petruchio has won an astonishing victory, and the happy Katherine and Petruchio leave the banquet to go to bed."

I'm not sure exactly where you are referring to in the play. Is it the end?

At the banquet following Hortensio’s wedding to the widow, the other characters are shocked to see that Katherine seems to have been “tamed”—she obeys everything that Petruchio says and gives a long speech advocating the loyalty of wives to their husbands. Lucentio and Hortensio—seem destined for unhappiness in marriage, given the disobedient natures of their wives. Petruchio fought tooth and nail to finally win Kate, but he worked hard only because he wanted her to truly allow herself to accept, or choose, obedience in married life.