multiple passwords for password protecting pages & menus

Our site is currently set up to have the pages password protected. I was asked to make it so that if a user entered a certain password, then certain menu items would show up and they would be restricted to certain pages. If they entered a different password, they could access all the pages.

I figured if I could read the value of the password cookie then maybe I could show one menu instead of another. Not sure how to do that if it’s even possible. But beyond that, is there anyway to basically have two passwords accepted for certain pages? Thanks.