The Edit Person tasks view provides a list of all tasks attached to the person, their families, events, or names.  When you highlight a row, the task will be displayed on the right where it can be directly edited.

Above the list is a drop list where you can filter the list down to a single item (general, name, fact, etc.).  A search box lets you filter the list by the task name.

You can add tasks to any record, depending on which filter you have chosen.  For example, if you have filtered to show the tasks for the person's birth, then clicking the + button will let you add a new task to that birth.  If you select Add when the list is not filtered, the task will be added as a general citation for the person.

You are also able to delete tasks using the icon on the toolbar.