In Jude Law's new film 'Rage,' he plays a transsexual supermodel named Minx -- and the actor is almost unrecognizable in his role.

But it wasn't easy for the actor to get into costume. "On the first day, it took a few hours because I had to remove all my hair. I'm a bit of a coward. I didn't go for the waxing. I just shaved it," he tells PEOPLE.