Initial program 15.7
\[\pi \cdot \ell - \frac{1}{F \cdot F} \cdot \tan \left(\pi \cdot \ell\right)\]
- Using strategy
rm Applied add-cube-cbrt15.8
\[\leadsto \pi \cdot \ell - \frac{1}{F \cdot F} \cdot \color{blue}{\left(\left(\sqrt[3]{\tan \left(\pi \cdot \ell\right)} \cdot \sqrt[3]{\tan \left(\pi \cdot \ell\right)}\right) \cdot \sqrt[3]{\tan \left(\pi \cdot \ell\right)}\right)}\]
Applied associate-*r*15.8
\[\leadsto \pi \cdot \ell - \color{blue}{\left(\frac{1}{F \cdot F} \cdot \left(\sqrt[3]{\tan \left(\pi \cdot \ell\right)} \cdot \sqrt[3]{\tan \left(\pi \cdot \ell\right)}\right)\right) \cdot \sqrt[3]{\tan \left(\pi \cdot \ell\right)}}\]
Applied simplify13.1
\[\leadsto \pi \cdot \ell - \color{blue}{\left(\frac{\sqrt[3]{\tan \left(\ell \cdot \pi\right)}}{F} \cdot \frac{\sqrt[3]{\tan \left(\ell \cdot \pi\right)}}{F}\right)} \cdot \sqrt[3]{\tan \left(\pi \cdot \ell\right)}\]
Taylor expanded around inf 38.1
\[\leadsto \pi \cdot \ell - \left(\frac{\sqrt[3]{\tan \left(\ell \cdot \pi\right)}}{F} \cdot \frac{\color{blue}{{\left(\frac{\sin \left(\pi \cdot \ell\right)}{\cos \left(\pi \cdot \ell\right)}\right)}^{\frac{1}{3}}}}{F}\right) \cdot \sqrt[3]{\tan \left(\pi \cdot \ell\right)}\]
Applied simplify13.0
\[\leadsto \color{blue}{\ell \cdot \pi - \frac{\sqrt[3]{\frac{\sin \left(\ell \cdot \pi\right)}{\cos \left(\ell \cdot \pi\right)}}}{\frac{F}{\sqrt[3]{\tan \left(\ell \cdot \pi\right)}} \cdot \frac{F}{\sqrt[3]{\tan \left(\ell \cdot \pi\right)}}}}\]
Taylor expanded around inf 38.0
\[\leadsto \ell \cdot \pi - \frac{\color{blue}{{\left(\frac{\sin \left(\pi \cdot \ell\right)}{\cos \left(\pi \cdot \ell\right)}\right)}^{\frac{1}{3}}}}{\frac{F}{\sqrt[3]{\tan \left(\ell \cdot \pi\right)}} \cdot \frac{F}{\sqrt[3]{\tan \left(\ell \cdot \pi\right)}}}\]
Applied simplify12.1
\[\leadsto \color{blue}{\pi \cdot \ell - \left(\sqrt[3]{\frac{\sin \left(\pi \cdot \ell\right)}{\cos \left(\pi \cdot \ell\right)}} \cdot \frac{\sqrt[3]{\tan \left(\pi \cdot \ell\right)}}{F}\right) \cdot \frac{\sqrt[3]{\tan \left(\pi \cdot \ell\right)}}{F}}\]
