Initial program 0.1
\[\left(0.5 \cdot \sin re\right) \cdot \left(e^{0 - im} + e^{im}\right)\]
Initial simplification0.1
\[\leadsto \sin re \cdot \left(0.5 \cdot e^{im} + \frac{0.5}{e^{im}}\right)\]
- Using strategy
rm Applied flip3-+0.1
\[\leadsto \sin re \cdot \color{blue}{\frac{{\left(0.5 \cdot e^{im}\right)}^{3} + {\left(\frac{0.5}{e^{im}}\right)}^{3}}{\left(0.5 \cdot e^{im}\right) \cdot \left(0.5 \cdot e^{im}\right) + \left(\frac{0.5}{e^{im}} \cdot \frac{0.5}{e^{im}} - \left(0.5 \cdot e^{im}\right) \cdot \frac{0.5}{e^{im}}\right)}}\]
Applied associate-*r/0.1
\[\leadsto \color{blue}{\frac{\sin re \cdot \left({\left(0.5 \cdot e^{im}\right)}^{3} + {\left(\frac{0.5}{e^{im}}\right)}^{3}\right)}{\left(0.5 \cdot e^{im}\right) \cdot \left(0.5 \cdot e^{im}\right) + \left(\frac{0.5}{e^{im}} \cdot \frac{0.5}{e^{im}} - \left(0.5 \cdot e^{im}\right) \cdot \frac{0.5}{e^{im}}\right)}}\]
Simplified0.1
\[\leadsto \frac{\sin re \cdot \left({\left(0.5 \cdot e^{im}\right)}^{3} + {\left(\frac{0.5}{e^{im}}\right)}^{3}\right)}{\color{blue}{\frac{0.5}{e^{im}} \cdot \left(\frac{0.5}{e^{im}} - 0.5 \cdot e^{im}\right) + \left(0.5 \cdot e^{im}\right) \cdot \left(0.5 \cdot e^{im}\right)}}\]
Final simplification0.1
\[\leadsto \frac{\left({\left(\frac{0.5}{e^{im}}\right)}^{3} + {\left(e^{im} \cdot 0.5\right)}^{3}\right) \cdot \sin re}{\left(\frac{0.5}{e^{im}} - e^{im} \cdot 0.5\right) \cdot \frac{0.5}{e^{im}} + \left(e^{im} \cdot 0.5\right) \cdot \left(e^{im} \cdot 0.5\right)}\]
