Initial program 0.0
\[2 \cdot \tan^{-1} \left(\sqrt{\frac{1 - x}{1 + x}}\right)\]
- Using strategy
rm Applied *-un-lft-identity0.0
\[\leadsto 2 \cdot \tan^{-1} \left(\sqrt{\frac{1 - x}{1 + \color{blue}{1 \cdot x}}}\right)\]
Applied *-un-lft-identity0.0
\[\leadsto 2 \cdot \tan^{-1} \left(\sqrt{\frac{1 - x}{\color{blue}{1 \cdot 1} + 1 \cdot x}}\right)\]
Applied distribute-lft-out0.0
\[\leadsto 2 \cdot \tan^{-1} \left(\sqrt{\frac{1 - x}{\color{blue}{1 \cdot \left(1 + x\right)}}}\right)\]
Applied associate-/r*0.0
\[\leadsto 2 \cdot \tan^{-1} \left(\sqrt{\color{blue}{\frac{\frac{1 - x}{1}}{1 + x}}}\right)\]
Applied sqrt-div0.0
\[\leadsto 2 \cdot \tan^{-1} \color{blue}{\left(\frac{\sqrt{\frac{1 - x}{1}}}{\sqrt{1 + x}}\right)}\]
Simplified0.0
\[\leadsto 2 \cdot \tan^{-1} \left(\frac{\color{blue}{\sqrt{1 - x}}}{\sqrt{1 + x}}\right)\]
Final simplification0.0
\[\leadsto 2 \cdot \tan^{-1} \left(\frac{\sqrt{1 - x}}{\sqrt{1 + x}}\right)\]
