Adding an extra url to a HNSC

In our intranet we have one web application with an empty root site collection and one Host Named Site collection with this url http://test which is in use and it is functioning without problem. Now we want to access this site collection with another url allso. How we can manage it? do we need to configure Alternate access mapping? How you can access same site collection with two different urls?

UPDATE: I used Set-SPSiteUrl to add another url to the site collection on Custom Zone. Now users can acccess the site by using the second url but singel Sign On not working. Did I do right?