Any clue why bool(arcsin(x) == 2*arctan(x/(1+sqrt(1-x^2)))) returns
false where the expressions are mathematically equivalent.

I found that arcsin(x) - 2*arctan(x/(1+sqrt(1-x^2))) is not exactly 0
for all x in [-1,1]. In sage, is there any way to compare expressions
with some numerical precision?

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