Initial program 12.6
\[\frac{\sin ky}{\sqrt{{\left(\sin kx\right)}^{2} + {\left(\sin ky\right)}^{2}}} \cdot \sin th\]
Simplified11.5
\[\leadsto \color{blue}{\frac{\sin th \cdot \sin ky}{\sqrt{\left(\sin kx\right)^2 + \left(\sin ky\right)^2}^*}}\]
- Using strategy
rm Applied associate-/l*9.0
\[\leadsto \color{blue}{\frac{\sin th}{\frac{\sqrt{\left(\sin kx\right)^2 + \left(\sin ky\right)^2}^*}{\sin ky}}}\]
- Using strategy
rm Applied div-inv9.1
\[\leadsto \frac{\sin th}{\color{blue}{\sqrt{\left(\sin kx\right)^2 + \left(\sin ky\right)^2}^* \cdot \frac{1}{\sin ky}}}\]
Taylor expanded around -inf 12.7
\[\leadsto \frac{\sin th}{\color{blue}{\sqrt{{\left(\sin ky\right)}^{2} + {\left(\sin kx\right)}^{2}} \cdot \frac{1}{\sin ky}}}\]
Simplified9.0
\[\leadsto \frac{\sin th}{\color{blue}{\frac{\sqrt{\left(\sin ky\right)^2 + \left(\sin kx\right)^2}^*}{\sin ky}}}\]
Final simplification9.0
\[\leadsto \frac{\sin th}{\frac{\sqrt{\left(\sin ky\right)^2 + \left(\sin kx\right)^2}^*}{\sin ky}}\]
