Gigandet admitted that he was initially intimidated by the "intense" Cage, but said that the Oscar winner put him at ease quickly.
"He's very intense but he's also very quirky and quite funny," he told iamROGUE.
"There were times on set where, and I don't know if it's just me and I have a twisted perverse sense of humour, but there were times when we were shooting where we would try something new and he places no judgment and needs no results while he's working. It's just kind an exploration of creativity and so he'll literally try something new every take."
He continued: "There were times where I couldn't even look at him without laughing hysterically. I would have to turn my back and he would just know that what he's doing is hitting home.
"He's getting the reaction that he wants because he is that funny and he is that talented that he can do things off the cuff and have it be justified, entertaining and fun. To watch him work is quite an experience!"
Cage recently commented that a director's artistic vision can't be appreciated by watching a film on a cell phone.
Trespass, which also stars Nicole Kidman, is now playing in US cinemas.
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Watch a Trespass trailer below: