The correct conjugation of the verb "être" in Present Tense, to fill the sentence is:
- Ton cousin et toi êtes au cinéma.
Translation.
- You and your cousin are at the movies.
Present Tense in French.
The conjugation of the verb "être" in present tense, taking into account the personal pronouns is:
- Je suis
- Tu es
- Il est
- Elle est
- Nous sommes
- Vous êtes
- Ils sont
Since the form "Ton cousin et toi," which corresponds to the noun of the sentence, can be replaced by the personal pronoun "vous," the correct conjugation of the verb is "êtes."
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