Trust, Credibility
noun, verbal noun
When someone believes in your task, it means they have a lot of trust in what you do. You've clearly gained a great deal of credibility through your previous tasks. 信用 refers to the trust one party places in another's integrity and ability to fulfill obligations. It's often used to describe reliability in actions, faithfulness in relationships, or creditworthiness in financial transactions.
しんよう
This is a jukugo word, which usually means on'yomi readings from the kanji. If you know the readings of your kanji you'll know how to read this as well.
彼の言葉には信用があります。
His words carry credibility.
彼女は社内のみんなから信用されています。
She is trusted by everyone in the company.
二回もウソをついたせいで、信用を失ってしまったんです。
I lost trust because I lied twice.