One interesting result is that the result will be transcendental (ie no polynomial will evaluate it to 0).
https://en.wikipedia.org/wiki/Gelfond%E2%80%93Schneider_theo...
sin x = x
Are you familiar with the Taylor series? That's the first organ of the Taylor series, something like two decades ago I checked how accurate it goes past 20 organs:
I am not sure I understand. Sin(x) approaches x only when x approaches 0. When else does the universe does a bad job with this approximation?
the joke is that sometimes the universe is bad at making sure x always approaches 0.
sin(x)=x in the same way that c=π=1 when doing cosmology.
At least you can often recover the constants after the fact with dimensional analysis in cosmology =P
1=c=G=hbar and sometimes =k is not even a joke, that's just natural units. Pi=e=1 however ... is only half a joke, because cosmologists are often only interested in orders of magnitudes, and even those are sometimes approximated.