This is the 5962nd most frequent Russian word.
секретами
"Secrets" (instrumental plural form).
In this sentence, 'секретами' is the instrumental plural form of 'секрет', meaning 'secrets', and it is used here as the object of 'поделился', indicating the action of sharing secrets.
Он поделился своими секретами с нами.
He shared his secrets with us.
Here, 'секретами' is used in the instrumental plural form as part of handling 'интересовалась' (was interested in). It signifies the knowledge or techniques related to unusual cooking methods.
Она интересовалась секретами приготовления необычных блюд.
She was interested in the secrets of preparing unusual dishes.
In this example, 'секретами' is again the instrumental plural of 'секрет' and describes the mutual exchange of personal secrets, highlighting a form of collaboration or sharing.