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Simplificación de expresiones/ Descomposición en fracciones simples/ sin(2*x)/(2*cos(2*x))

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

Expresión a simplificar:

Solución

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))
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