Initial program 8.2
\[\pi \cdot \ell - \frac{1}{F \cdot F} \cdot \tan \left(\pi \cdot \ell\right)\]
Initial simplification8.2
\[\leadsto (\left(\tan \left(\pi \cdot \ell\right)\right) \cdot \left(\frac{-1}{F \cdot F}\right) + \left(\pi \cdot \ell\right))_*\]
Taylor expanded around -inf 7.8
\[\leadsto \color{blue}{\pi \cdot \ell - \frac{\sin \left(\pi \cdot \ell\right)}{{F}^{2} \cdot \cos \left(\pi \cdot \ell\right)}}\]
- Using strategy
rm Applied add-cbrt-cube8.1
\[\leadsto \pi \cdot \ell - \frac{\sin \left(\pi \cdot \ell\right)}{{F}^{2} \cdot \cos \color{blue}{\left(\sqrt[3]{\left(\left(\pi \cdot \ell\right) \cdot \left(\pi \cdot \ell\right)\right) \cdot \left(\pi \cdot \ell\right)}\right)}}\]
- Using strategy
rm Applied add-cube-cbrt8.4
\[\leadsto \pi \cdot \ell - \frac{\color{blue}{\left(\sqrt[3]{\sin \left(\pi \cdot \ell\right)} \cdot \sqrt[3]{\sin \left(\pi \cdot \ell\right)}\right) \cdot \sqrt[3]{\sin \left(\pi \cdot \ell\right)}}}{{F}^{2} \cdot \cos \left(\sqrt[3]{\left(\left(\pi \cdot \ell\right) \cdot \left(\pi \cdot \ell\right)\right) \cdot \left(\pi \cdot \ell\right)}\right)}\]
Applied times-frac8.4
\[\leadsto \pi \cdot \ell - \color{blue}{\frac{\sqrt[3]{\sin \left(\pi \cdot \ell\right)} \cdot \sqrt[3]{\sin \left(\pi \cdot \ell\right)}}{{F}^{2}} \cdot \frac{\sqrt[3]{\sin \left(\pi \cdot \ell\right)}}{\cos \left(\sqrt[3]{\left(\left(\pi \cdot \ell\right) \cdot \left(\pi \cdot \ell\right)\right) \cdot \left(\pi \cdot \ell\right)}\right)}}\]
Simplified8.1
\[\leadsto \pi \cdot \ell - \frac{\sqrt[3]{\sin \left(\pi \cdot \ell\right)} \cdot \sqrt[3]{\sin \left(\pi \cdot \ell\right)}}{{F}^{2}} \cdot \color{blue}{\frac{\sqrt[3]{\sin \left(\pi \cdot \ell\right)}}{\cos \left(\pi \cdot \ell\right)}}\]
- Using strategy
rm Applied unpow28.1
\[\leadsto \pi \cdot \ell - \frac{\sqrt[3]{\sin \left(\pi \cdot \ell\right)} \cdot \sqrt[3]{\sin \left(\pi \cdot \ell\right)}}{\color{blue}{F \cdot F}} \cdot \frac{\sqrt[3]{\sin \left(\pi \cdot \ell\right)}}{\cos \left(\pi \cdot \ell\right)}\]
Applied times-frac3.5
\[\leadsto \pi \cdot \ell - \color{blue}{\left(\frac{\sqrt[3]{\sin \left(\pi \cdot \ell\right)}}{F} \cdot \frac{\sqrt[3]{\sin \left(\pi \cdot \ell\right)}}{F}\right)} \cdot \frac{\sqrt[3]{\sin \left(\pi \cdot \ell\right)}}{\cos \left(\pi \cdot \ell\right)}\]
Final simplification3.5
\[\leadsto \pi \cdot \ell - \frac{\sqrt[3]{\sin \left(\pi \cdot \ell\right)}}{\cos \left(\pi \cdot \ell\right)} \cdot \left(\frac{\sqrt[3]{\sin \left(\pi \cdot \ell\right)}}{F} \cdot \frac{\sqrt[3]{\sin \left(\pi \cdot \ell\right)}}{F}\right)\]
