"To share that trust" means to have and show mutual trust or confidence with someone else. It implies relying on each other and being trustworthy in a relationship or partnership. Full definition
We are an online community of pet owners and veterinary professionals sharing trusted information and working together to take care of pets everywhere. (vetvine.com)
I'm leaving background reading as an exercise for the reader; instead, I want to focus on how blockchain creates a distributed ledger with shared trust. (rackn.com)
Walk students through low - risk sharing first, then increase the perceived risk as students develop a sense of shared trust. (edutopia.org)