Final answer:
The nurse should advise the client that taking phenytoin can decrease the effectiveness of birth control pills due to enhanced drug metabolism.
Step-by-step explanation:
The nurse should inform the client that phenytoin can lead to a decreased effectiveness of birth control pills. Phenytoin is an enzyme inducer, which means it can increase the metabolism of certain drugs, including hormonal contraceptives such as birth control pills. When a patient takes both phenytoin and birth control pills, the effectiveness of the contraceptive can be compromised, leading to an increased risk of unintended pregnancy.