There’s a bunch of answers to this question, but I think the easiest one is that a pocket calculator contains a table of logarithms.
You can do much of that other stuff by yourself, but no one alive carries a table of logarithms around in their head.
Once you accept that you should also accept that it contains Taylor series expansions for sine and cosine, which you also do not carry around in your head.
I recommend telling a physicist that you feel this way and seeing what they think about calculating machines.