How to hide the LED strip on the ceiling?

Hello. Repair is being done in my apartment and it so happened that I had to entrust this repair to one chock. It seems that everything is doing not bad, they reached the ceiling, he said from his words that I will make you a beautiful two-level ceiling with spotlights and LED strip, as a result, he glued this tape from the ceiling and when you turn it off, you can see the whole tape and it looks it's all simple and collective. I want to ask you what you advise me not to remodel the ceiling structure and not remove this tape. How can it be masked so that when the light is off, it could not be seen. A simple straight profile is also not suitable, since the ceiling has rounded and semicircular shapes?