“the choice is arbitrary”.

Except it’s not as many other have pointed out. You’re just confused and trying to spread your confusion to others. Yes, advanced math gets complex, that’s advanced math. Don’t drag trig into this when you’re just confused.

Also “I don’t use bottle caps or cars”? Seriously just buzz off with that. You don’t live anywhere where you’re not using the simple machine of a screw. I hope Archimedes is rolling clockwise in his grave right now.