How to open a link new tab with print command?

You could try something like this:

<a href="javascript: w=window.open('http://yoursite.com/LinkToThePDF.pdf'); w.print(); w.close(); ">​​​​​​​​​​​​​​​​​print pdf</a>

This method works well for me.

<a href="/url/" onclick="window.open(this.href).print(); return false">