trigonometry – How can I prevent Mathematica to simplify basic trigonometric identities (1/Cot(x))?

I’m working on a code to display(Print()) the answers of some excercises for my students. Some of the answers have parts like 1/Cot(x). I want to prevent Mathematica to transform this expression into Tan(x).

I’ve tried (as a suggestion from another thread)

Simplify(1/Cot(y), Trig -> False)

But it doesn’t work. I can’t use Hold() either because the expression is making reference to a previous calculation and I need to evaluate it. Any tips?? I have Mathematica 11.2 and pardon my english. Thanks!!