
vertrauensvoll
trusting
Full of trust; showing the attitude that one believes someone or something and relies on them.
Das Kind blickte seine Mutter vertrauensvoll an.
The child looked at his mother trustingly.
trusting / trustful
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trusting
Full of trust; showing the attitude that one believes someone or something and relies on them.
Das Kind blickte seine Mutter vertrauensvoll an.
The child looked at his mother trustingly.

trustful
Based on and characterized by mutual trust. Often used to describe good cooperation.
Wir danken Ihnen für die langjährige und vertrauensvolle Zusammenarbeit.
We thank you for the many years of trustful cooperation.
The adjective is a compound made up of the noun 'das Vertrauen' (trust), the linking element '-s-', and the suffix '-voll' (full of). So it literally means 'full of trust'.
Sie hat ein sehr vertrauensvolles Verhältnis zu ihren Eltern.
She has a very trustful relationship with her parents.
The word describes either a person's attitude ('ein vertrauensvoller Blick' — a trusting look) or the quality of a relationship based on mutual trust ('eine vertrauensvolle Zusammenarbeit' — trustful cooperation).
Mit einer vertrauensvollen Geste legte er seine Hand auf ihre Schulter.
With a trusting gesture, he placed his hand on her shoulder.
Especially in professional life, people often speak of 'eine vertrauensvolle Zusammenarbeit' (trustful cooperation), 'eine vertrauensvolle Atmosphäre' (a trustful atmosphere), or 'ein vertrauensvolles Gespräch' (a trustful conversation).
Wir streben eine langfristige und vertrauensvolle Partnerschaft an.
We are aiming for a long-term and trustful partnership.
'Vertrauensvoll' can also be used as an adverb to describe how an action is carried out. A typical phrase is 'sich vertrauensvoll an jemanden wenden' (to turn to someone trustingly).
Sie wandte sich mit ihrem Problem vertrauensvoll an ihre beste Freundin.
She turned trustingly to her best friend with her problem.
familiar
Vertraut emphasizes the personal closeness that has developed between people. Vertrauensvoll highlights that their interaction or cooperation is based on mutual trust. Vertraut fits long-standing personal bonds; vertrauensvoll fits situations where reliability and mutual trust are important.

Auch in der Krise arbeiten die beiden Kollegen vertrauensvoll zusammen.
Even during the crisis, the two colleagues work together in a spirit of mutual trust.
Nach vielen gemeinsamen Jahren ist der Umgang zwischen den Kollegen vertraut.
After many years working together, the interaction between the colleagues is close and familiar.