How, by counting sin (pi / 3), to get the answer "√3/2", and not its exact value?

Question

Python

For example: how to use math, numpy or some other library, after calculating sin(pi/3), get in the answer not 0.8660254037844386, but an irrational number '√3/2'

Answer 1

I would google something like "python symbolic math"
For starters, you can look at this library: sympy.org/en/index.html

Answer 2

You can use table substitution for the most common angles from 0 to pi/2. And for the rest of the range from 0 to pi * 2 it is expanded using standard formulas (the angle must first be normalized).