The police would have infinite times more trust if they weren't so hell bent on incriminating innocent people. From lying and coercing to you to get a confession, trying to search your home and vehicle without warrants and setting up traps that innocent people may fall for like this. There is no trust in the police because trusting them is the worst thing you can do.

Obligatory reminder to never speak to the police without a lawyer, they will use anything you say to attempt to convict you.