I trust you very much

[AirbusA321]

Can "very much" be replaced with the following terms without significantly changing the meaning and are these terms often used in everyday talk?
to the fullest, to the maximum, to a large extent, widely, broadly

I know that you are not a liar. I trust you very much.

[emsr2d2]

Can "very much" be replaced with the following terms without significantly changing the meaning and are these terms often used in everyday talk?
to the fullest, to the maximum, to a large extent, widely, broadly

I know that you are not a liar. I trust you very much.

In the sentence you gave, "very much" could only naturally be replaced by "to a large extent". Your other suggestions would result in an unnatural sentence.

[AirbusA321]

Here are two other examples:

They have disappointed her very much.
We are looking forward very much to living in that apartment.

[emsr2d2]

The second is fine. The first would probably be expressed as "They have really disappointed her."