Is the word trocar the same in Brazilian and European Portuguese?

Yes.

The word "trocar" shares the same meaning, grammar, spelling, and fundamental usage in both Brazilian and Continental Portuguese. It translates to "to exchange," "to swap," or "to replace." The only significant differences are in pronunciation:

• Vowels: In Brazilian Portuguese, vowels tend to be more open and melodic. In Continental Portuguese, unstressed vowels (like the "o" in trocar) are often more closed or even reduced/elided.
• The "r" sound: Depending on the region of Brazil, the "r" at the end of the word can be aspirated (like an "h") or retroflex (the "caipira" style). In Portugal, the "r" is typically more pronounced or tapped/trilled, depending on the speaker's accent.

Brazilian Portuguese Examples

1. Eu preciso trocar cem reais por notas menores. (I need to exchange one hundred reais for smaller bills.)
2. Vou trocar de roupa antes de sair. (I'm going to change my clothes before going out.)
3. Preciso trocar a lâmpada da sala. (I need to replace the living room lightbulb.)
4. Quer trocar esse adesivo pelo meu? (Do you want to swap this sticker for mine?)
5. Vou trocar meu número de telefone. (I am going to change my phone number.)

Continental Portuguese Examples

1. Preciso trocar estas notas por moedas. (I need to exchange these notes for coins.)
2. Vou trocar de roupa antes de sair. (I'm going to change my clothes before going out.)
3. Tenho de trocar a lâmpada da sala. (I have to replace the living room lightbulb.)
4. Queres trocar este autocolante pelo meu? (Do you want to swap this sticker for mine?)
5. Vou mudar o meu número de telemóvel. (I am going to change my mobile number.)