Initial program 16.7
\[\pi \cdot \ell - \frac{1}{F \cdot F} \cdot \tan \left(\pi \cdot \ell\right)\]
Applied simplify16.5
\[\leadsto \color{blue}{\pi \cdot \ell - \frac{\tan \left(\pi \cdot \ell\right)}{F \cdot F}}\]
- Using strategy
rm Applied associate-/r*12.4
\[\leadsto \pi \cdot \ell - \color{blue}{\frac{\frac{\tan \left(\pi \cdot \ell\right)}{F}}{F}}\]
- Using strategy
rm Applied clear-num12.4
\[\leadsto \pi \cdot \ell - \color{blue}{\frac{1}{\frac{F}{\frac{\tan \left(\pi \cdot \ell\right)}{F}}}}\]
Taylor expanded around 0 31.1
\[\leadsto \pi \cdot \ell - \frac{1}{\color{blue}{\frac{{F}^{2}}{\pi \cdot \ell} - \frac{1}{3} \cdot \left({F}^{2} \cdot \left(\pi \cdot \ell\right)\right)}}\]
Applied simplify8.5
\[\leadsto \color{blue}{\pi \cdot \ell - \frac{\frac{1}{F}}{\frac{\frac{F}{\ell}}{\pi} - \left(\pi \cdot \frac{1}{3}\right) \cdot \left(\ell \cdot F\right)}}\]
- Using strategy
rm Applied add-cbrt-cube8.5
\[\leadsto \pi \cdot \ell - \frac{\frac{1}{F}}{\frac{\frac{F}{\ell}}{\pi} - \color{blue}{\sqrt[3]{\left(\left(\pi \cdot \frac{1}{3}\right) \cdot \left(\pi \cdot \frac{1}{3}\right)\right) \cdot \left(\pi \cdot \frac{1}{3}\right)}} \cdot \left(\ell \cdot F\right)}\]
Applied simplify8.5
\[\leadsto \pi \cdot \ell - \frac{\frac{1}{F}}{\frac{\frac{F}{\ell}}{\pi} - \sqrt[3]{\color{blue}{{\left(\pi \cdot \frac{1}{3}\right)}^{3}}} \cdot \left(\ell \cdot F\right)}\]
