It takes on a different lens in online instruction. Probably the most important aspect of implementing trust in an online course is by creating a web course that mechanically works. Hyperlinks must work and be logically placed. Hyperlink colors need to be consistent throughout the course. Pictures need to be visible and font needs to be easily read.
Frustration leads to lack of trust.
If links don't work, and students are unable to navigate through the course work, then trust is broken. Continuity of form also is important here. You need to weed the web garden occasionally, taking out hyperlinks that no longer work and material that is dated. And the obvious here, writing should be clear, consistent in style and error-free. E-mail should include the student's name and be sent in a timely manner.