In all the years I've played competitive pool, I never asked myself where the tangent line on any shot was. I also never asked myself what adjustment I had to make to make the cue ball veer off the tangent line at a particular point. That kind of stuff works well on paper and in the classroom, but when you're playing, you either know what to do or you don't. If you don't, you need to play more.
No matter how much you may need technicalities in your life, you can't calculate your way through a pool match. Well, you can try but don't expect great results.
Is that what you tell someone who comes to you for lessons?