/ 2 2*sin(x)\
| 2 cos (x)*e | sin(x)
|cos (x) - sin(x) + -----------------|*e
| 2*sin(x) |
\ 1 - e /
----------------------------------------------
_______________
/ 2*sin(x)
\/ 1 - e
$$\frac{\left(- \sin{\left(x \right)} + \cos^{2}{\left(x \right)} + \frac{e^{2 \sin{\left(x \right)}} \cos^{2}{\left(x \right)}}{1 - e^{2 \sin{\left(x \right)}}}\right) e^{\sin{\left(x \right)}}}{\sqrt{1 - e^{2 \sin{\left(x \right)}}}}$$
/ 2*sin(x) 2 4*sin(x) 2 2*sin(x)\
| 2 3*e *sin(x) 3*cos (x)*e 4*cos (x)*e | sin(x)
|-1 + cos (x) - 3*sin(x) - ------------------ + ------------------- + -------------------|*cos(x)*e
| 2*sin(x) 2 2*sin(x) |
| 1 - e / 2*sin(x)\ 1 - e |
\ \1 - e / /
---------------------------------------------------------------------------------------------------------
_______________
/ 2*sin(x)
\/ 1 - e
$$\frac{\left(- 3 \sin{\left(x \right)} + \cos^{2}{\left(x \right)} - 1 - \frac{3 e^{2 \sin{\left(x \right)}} \sin{\left(x \right)}}{1 - e^{2 \sin{\left(x \right)}}} + \frac{4 e^{2 \sin{\left(x \right)}} \cos^{2}{\left(x \right)}}{1 - e^{2 \sin{\left(x \right)}}} + \frac{3 e^{4 \sin{\left(x \right)}} \cos^{2}{\left(x \right)}}{\left(1 - e^{2 \sin{\left(x \right)}}\right)^{2}}\right) e^{\sin{\left(x \right)}} \cos{\left(x \right)}}{\sqrt{1 - e^{2 \sin{\left(x \right)}}}}$$