If you are trusted by someone, appreciate it. They can be your family, relatives, friends, or people that you know.
You should respect them, cherish the faith they give to you. Because they love you very much and trust you unconditionally, or you and them have experienced enough things for them to believe in you.
And the best way to cherish is to never deceive them, to never betray their beliefs. Be honest with them.
On the contrary, for people who are not honest with you, never put your trust in them. There is no guarantee that they are or will be sincere with you.
Because they do not respect you or cherish the relationship between you and them. They do not deserve your trust.