Dear student 2sin-1x=sin-12x1-x2if -12≤x≤12π-sin-12x1-x2if 12≤x≤1-π-sin-12x1-x2if -1≤x≤-12 Regards

formula of 2sin-1 x

Dear student

2 \sin^{- 1} x = [\begin{matrix} \sin^{- 1} (2 x \sqrt{1 - x^{2}}) & if - \frac{1}{\sqrt{2}} \leq x \leq \frac{1}{\sqrt{2}} \\ π - \sin^{- 1} (2 x \sqrt{1 - x^{2}}) & if \frac{1}{\sqrt{2}} \leq x \leq 1 \\ - π - \sin^{- 1} (2 x \sqrt{1 - x^{2}}) & if - 1 \leq x \leq - \frac{1}{\sqrt{2}} \end{matrix}]

Regards