Initial program 14.0
\[\left(-x \cdot \frac{1}{\tan B}\right) + \frac{F}{\sin B} \cdot {\left(\left(F \cdot F + 2\right) + 2 \cdot x\right)}^{\left(-\frac{1}{2}\right)}\]
Initial simplification13.9
\[\leadsto (\left({\left((2 \cdot x + \left((F \cdot F + 2)_*\right))_*\right)}^{\frac{-1}{2}}\right) \cdot \left(\frac{F}{\sin B}\right) + \left(\frac{-x}{\tan B}\right))_*\]
- Using strategy
rm Applied clear-num13.9
\[\leadsto (\left({\left((2 \cdot x + \left((F \cdot F + 2)_*\right))_*\right)}^{\frac{-1}{2}}\right) \cdot \color{blue}{\left(\frac{1}{\frac{\sin B}{F}}\right)} + \left(\frac{-x}{\tan B}\right))_*\]
- Using strategy
rm Applied div-inv13.9
\[\leadsto (\left({\left((2 \cdot x + \left((F \cdot F + 2)_*\right))_*\right)}^{\frac{-1}{2}}\right) \cdot \left(\frac{1}{\color{blue}{\sin B \cdot \frac{1}{F}}}\right) + \left(\frac{-x}{\tan B}\right))_*\]
Applied associate-/r*13.9
\[\leadsto (\left({\left((2 \cdot x + \left((F \cdot F + 2)_*\right))_*\right)}^{\frac{-1}{2}}\right) \cdot \color{blue}{\left(\frac{\frac{1}{\sin B}}{\frac{1}{F}}\right)} + \left(\frac{-x}{\tan B}\right))_*\]
- Using strategy
rm Applied tan-quot14.0
\[\leadsto (\left({\left((2 \cdot x + \left((F \cdot F + 2)_*\right))_*\right)}^{\frac{-1}{2}}\right) \cdot \left(\frac{\frac{1}{\sin B}}{\frac{1}{F}}\right) + \left(\frac{-x}{\color{blue}{\frac{\sin B}{\cos B}}}\right))_*\]
Applied associate-/r/14.0
\[\leadsto (\left({\left((2 \cdot x + \left((F \cdot F + 2)_*\right))_*\right)}^{\frac{-1}{2}}\right) \cdot \left(\frac{\frac{1}{\sin B}}{\frac{1}{F}}\right) + \color{blue}{\left(\frac{-x}{\sin B} \cdot \cos B\right)})_*\]
Final simplification14.0
\[\leadsto (\left({\left((2 \cdot x + \left((F \cdot F + 2)_*\right))_*\right)}^{\frac{-1}{2}}\right) \cdot \left(\frac{\frac{1}{\sin B}}{\frac{1}{F}}\right) + \left(\cos B \cdot \frac{-x}{\sin B}\right))_*\]
