Descomposición de una fracción sin(2*x)/(2*cos(2*x)) (seno de (2 multiplicar por x) dividir por (2 multiplicar por coseno de (2 multiplicar por x)))

Ha introducido [src]

 sin(2*x) 
----------
2*cos(2*x)

$$\frac{\sin{\left(2 x \right)}}{2 \cos{\left(2 x \right)}}$$

sin(2*x)/((2*cos(2*x)))

Simplificación general [src]

tan(2*x)
--------
   2

$$\frac{\tan{\left(2 x \right)}}{2}$$

tan(2*x)/2

Respuesta numérica [src]

0.5*sin(2*x)/cos(2*x)

0.5*sin(2*x)/cos(2*x)

Potencias [src]

   /   -2*I*x    2*I*x\ 
-I*\- e       + e     / 
------------------------
    / -2*I*x    2*I*x\  
  2*\e       + e     /

$$- \frac{i \left(e^{2 i x} - e^{- 2 i x}\right)}{2 \left(e^{2 i x} + e^{- 2 i x}\right)}$$

-i*(-exp(-2*i*x) + exp(2*i*x))/(2*(exp(-2*i*x) + exp(2*i*x)))

Abrimos la expresión [src]

cos(x)*sin(x) 
--------------
          2   
-1 + 2*cos (x)

$$\frac{\sin{\left(x \right)} \cos{\left(x \right)}}{2 \cos^{2}{\left(x \right)} - 1}$$

cos(x)*sin(x)/(-1 + 2*cos(x)^2)

Parte trigonométrica [src]

    sec(2*x)   
---------------
     /      pi\
2*sec|2*x - --|
     \      2 /

$$\frac{\sec{\left(2 x \right)}}{2 \sec{\left(2 x - \frac{\pi}{2} \right)}}$$

   tan(x)  
-----------
       2   
1 - tan (x)

$$\frac{\tan{\left(x \right)}}{1 - \tan^{2}{\left(x \right)}}$$

   /      pi\
cos|2*x - --|
   \      2 /
-------------
  2*cos(2*x)

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

    1     
----------
2*cot(2*x)

$$\frac{1}{2 \cot{\left(2 x \right)}}$$

tan(2*x)
--------
   2

$$\frac{\tan{\left(2 x \right)}}{2}$$

    sin(2*x)   
---------------
     /pi      \
2*sin|-- + 2*x|
     \2       /

$$\frac{\sin{\left(2 x \right)}}{2 \sin{\left(2 x + \frac{\pi}{2} \right)}}$$

   cot(x)   
------------
        2   
-1 + cot (x)

$$\frac{\cot{\left(x \right)}}{\cot^{2}{\left(x \right)} - 1}$$

   2     
sin (2*x)
---------
 sin(4*x)

$$\frac{\sin^{2}{\left(2 x \right)}}{\sin{\left(4 x \right)}}$$

 sec(2*x) 
----------
2*csc(2*x)

$$\frac{\sec{\left(2 x \right)}}{2 \csc{\left(2 x \right)}}$$

   /pi      \
csc|-- - 2*x|
   \2       /
-------------
  2*csc(2*x)

$$\frac{\csc{\left(- 2 x + \frac{\pi}{2} \right)}}{2 \csc{\left(2 x \right)}}$$

csc(pi/2 - 2*x)/(2*csc(2*x))

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