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

Yes

The word "rotina" is identical in meaning, spelling, and grammar in both Brazilian and Continental Portuguese. The only difference lies in pronunciation:

• Brazilian Portuguese: The vowels are generally more open and clearly articulated. In many regions of Brazil (such as Rio de Janeiro or São Paulo), the "t" before the "i" is palatalized, sounding like "cho-TCHEE-na."
• Continental Portuguese: The pronunciation is more "closed." Unstressed vowels are often reduced or almost suppressed, making the word sound more like "r't'na." The "t" remains a dental sound, not palatalized.

Brazilian Portuguese Examples

1. Minha rotina é bem cansativa. (My routine is very tiring.)
2. Eu preciso mudar minha rotina de exercícios. (I need to change my exercise routine.)
3. A rotina de trabalho dele é muito rígida. (His work routine is very rigid.)
4. Sigo a mesma rotina todos os dias. (I follow the same routine every day.)
5. Todo mundo tem uma rotina diferente. (Everyone has a different routine.)

Continental Portuguese Examples

1. A minha rotina é bastante cansativa. (My routine is quite tiring.)
2. Preciso mudar a minha rotina de exercício. (I need to change my exercise routine.)
3. A rotina de trabalho dele é muito rígida. (His work routine is very rigid.)
4. Sigo a mesma rotina todos os dias. (I follow the same routine every day.)
5. Toda a gente tem uma rotina diferente. (Everyone has a different routine.)