To hope is to yearn for a thing to happen. To believe is to trust that it will happen. To know to is to have no doubt that it will happen. When we "know" something, we don't have to trust. Trust is not necessary. Hope is even further removed.
I’ve been thinking about this a lot recently. I’ve made an observation that when people learn a lot about health and nutrition, even though they enjoy better overall health when they act on their knowledge, they tend to get more colds. Of course this doesn’t apply to everyone but you might spot yourself if it does apply. And I have to admit, I went through that phase myself.