What are some examples of Juliet becoming independent, courageous, and passionate in Romeo and Juliet?
On the same night that Romeo and Juliet meet, Juliet tells him,
If that thy bent of love be honorable,
Thy purpose marriage, send me word tomorrow,
By one that I'll procure to come to thee,
Where and what time thou wilt perform the rite,
And all my fortunes at thy foot I'll lay
And follow thee my lord throughout the world. (2.2.150-155)
They've spoken only twice: once during the party itself, when they kiss for the first time, and now, while Juliet is up on her balcony and Romeo is below her in the garden. Romeo has professed his love to her, but Juliet is the one to suggest taking the next step. Her suggestion shows her passionate nature as well as her growing courage. She is willing to give up her name and her family—her world, really—to marry a man she just met, because she is so sure of her love for him; this can be seen as passionate, certainly, if not courageous as well.
Later, when the Nurse tells Juliet that Romeo slew Tybalt, Juliet doesn't quite know how to feel at first. She initially blames Romeo for the outcome, but when her Nurse says that he should feel shame for his behavior, Juliet responds,
Blistered be thy tongue
For such a wish! He was not born to shame.
Upon his brow shame is ashamed to sit,
For 'tis a throne where honor may be crowned,
Sole monarch of the universal Earth.
O, what a beast was I to chide at him! (3.2.99-104)
This is the first time, really, that Juliet has rebuffed her Nurse. She's looked on the Nurse almost as a mother—certainly as more a mother than her own, the cold Lady Capulet—but now she disagrees with the Nurse about Romeo and takes her husband's side rather than her family's. This begins to show her independence.
Juliet has been an obedient girl throughout her life. She has lived under her father's roof and does as she is told like she's supposed to. However, she takes her first stand for independence in Act III, Scene V, when she defies her father by refusing to marry Paris. Her father disowns her for her action, yet she is content to break ties with her parents if that's what it takes to be with her Romeo.
Juliet's act of courage is also prompted by her desire to be with Romeo. After her father's tirade mentioned above, she seeks out Friar Lawrence for advice about what to do next. He comes up with an elaborate plan to fake her death in order to avoid marrying Paris and to be with Romeo instead. It takes great courage for her to swallow the potion the Friar offers her because she doesn't know if it will work, but her will to be with Romeo outweighs her fears.
Romeo and Juliet are passionate with each other many times. The example that stands out is when she finds out Romeo killed her cousin Tybalt, she ultimately forgives Romeo knowing in her heart that he had no other choice. The way she chastizes the Nurse for speaking poorly of Romeo and the deepness of the depression she falls into when she learns Romeo has been banned from Verona, shows the high amount of passion for which she loves him.