How to check object is in my view or not?

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I tried to solve this using plane concept. I have angle of fov, my position, my front vector. So, normalize front vector, vectorV(my pos - object pos) dot product these two, if the result is positive, it is in front of me. The problem is that I'm not sure how to deal with the angle. Any advise will be appreciated. Thanks for your help :D

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