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¿Cómo vas a descomponer esta sin(2a)/((2th(a))) expresión en fracciones?

Ha introducido [src]

 sin(2*a)
---------
2*tanh(a)

$$\frac{\sin{\left(2 a \right)}}{2 \tanh{\left(a \right)}}$$

sin(2*a)/((2*tanh(a)))

Potencias [src]

   /   -2*I*a    2*I*a\ 
-I*\- e       + e     / 
------------------------
       4*tanh(a)

$$- \frac{i \left(e^{2 i a} - e^{- 2 i a}\right)}{4 \tanh{\left(a \right)}}$$

-i*(-exp(-2*i*a) + exp(2*i*a))/(4*tanh(a))

Abrimos la expresión [src]

cos(a)*sin(a)
-------------
   tanh(a)

$$\frac{\sin{\left(a \right)} \cos{\left(a \right)}}{\tanh{\left(a \right)}}$$

cos(a)*sin(a)/tanh(a)

Respuesta numérica [src]

0.5*sin(2*a)/tanh(a)

0.5*sin(2*a)/tanh(a)

Parte trigonométrica [src]

        1         
------------------
2*csc(2*a)*tanh(a)

$$\frac{1}{2 \tanh{\left(a \right)} \csc{\left(2 a \right)}}$$

        tan(a)       
---------------------
/       2   \        
\1 + tan (a)/*tanh(a)

$$\frac{\tan{\left(a \right)}}{\left(\tan^{2}{\left(a \right)} + 1\right) \tanh{\left(a \right)}}$$

           1           
-----------------------
     /      pi\        
2*sec|2*a - --|*tanh(a)
     \      2 /

$$\frac{1}{2 \tanh{\left(a \right)} \sec{\left(2 a - \frac{\pi}{2} \right)}}$$

        cot(a)       
---------------------
/       2   \        
\1 + cot (a)/*tanh(a)

$$\frac{\cot{\left(a \right)}}{\left(\cot^{2}{\left(a \right)} + 1\right) \tanh{\left(a \right)}}$$

   /      pi\
cos|2*a - --|
   \      2 /
-------------
  2*tanh(a)

$$\frac{\cos{\left(2 a - \frac{\pi}{2} \right)}}{2 \tanh{\left(a \right)}}$$

cos(2*a - pi/2)/(2*tanh(a))

¿Cómo vas a descomponer esta sin(2*a)/((2*th(a))) expresión en fracciones?