I read an article on another blog this morning that had this to say about the connection between anger and God's goodness and providence:
When I grow angry I find myself losing belief. I lose faith in God's goodness amid my circumstances. I lose belief in his promises, that "he works all things together for good for those who love him and are called according to his purpose" (Rom 8:28).
This unbelief arises from sinful discontent with God's wise providence, a failure to trust in His perfect will to do me good, whether through bad weather or good, emotional intimacy or none, apology or no apology. From emotional outbursts to weather complaints, anger arises from a failure to believe the truth, and belief that God owes me something: better weather or better marital intimacy or whatever.
Belief in this false promise is unbelief in God's promises.
Read the entire article here.