SQL doesn't use the page file. If it ever gets paged out, something has gone *seriously* wrong (and there will be messages in the error log stating that it's been paged out)

If the page file is too large (and you've changed the defaults for its size), then look at other stuff on the server than SQL. It's not going to be the SQL Server doing what you describe.
p.s. Don't use Task Manager to check SQL's memory usage. It lies.