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The function is implemented using the following Taylor series that's generated using [python-sympy](https://www.sympy.org/en/index.html), and it is very accurate for |x| $$\in [0, 0.5]$$ and has been verified using Geogebra. The range reduction is used for the rest range (0.5, 1]. $$ \frac{\arcsin(x)}{\pi} \approx \begin{aligned}[t] & 0.318309886183791x \\ & + 0.0530516476972984x^3 \\ & + 0.0238732414637843x^5 \\ & + 0.0142102627760621x^7 \\ & + 0.00967087327815336x^9 \\ & + 0.00712127941391293x^{11} \\ & + 0.00552355646848375x^{13} \\ & + 0.00444514782463692x^{15} \\ & + 0.00367705242846804x^{17} \\ & + 0.00310721681820837x^{19} + O(x^{21}) \end{aligned} $$ ## Geogebra graph  Closes #132210