I have an obsession about trig functions. I find them to be so mysterious, because I really don’t understand calculus (other then trying to make sense of it in a few YouTube videos, which doesn’t work for me). 

> 
> Anyhow I was wondering if someone can explain how calculators find the ratios for sine and cosine by just typing in the degrees.
> 
> 
> 

This seems impossible to me from a logical standpoint. I don’t see any pattern other then as the angle increase the ratio for cosine gets exponentially smaller. If anyone can tell me how you get an exact number for something that has no pattern, please explain it to me in the simplest possible way.

Pretend you're explaining it to your 10-year-old child. I am very visual so anything with pictures would work. If you start getting into Taylor series with calculus, I won’t understand.

I’m basically looking for a simple explanation of what the calculator is doing without getting deep into the math. Thanks in advance.

Cheers