In Act II, scene i, of The Taming of the Shrew, how does Tranio (as Lucentio) plan to satisfy Baptista's condition to court Bianca?
In other words, what does Lucentio plan to achieve by pretending to be Cambio, while Tranio pretends to be Lucentio?
In Act Two, scene one, of Shakespeare's The Taming of the Shrew, Tranio arrives at Baptista's home—pretending to be Lucentio; Lucentio is masquerading as Cambio, an instructor of languages. Lucentio has come up with a plan to present himself as a teacher to instruct Baptista's daughters. Knowing that Baptista will only allow teachers in the company of his daughters, Lucentio gains access in his guise as a schoolmaster. Tranio, presenting himself as Lucentio, has brought a lute and several books as gifts. Baptista welcomes Lucentio as Cambio, thanks Tranio for his gifts, and sends "Cambio," along with Hortensio (also dressed as a musician) and Biondello (dressed as a servant), to instruct Bianca and Katharina.
Lucentio's plan is to gain extra time to woo Bianca in his disguise and be that much farther along in capturing her heart than the other suitors.