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

Expresión a simplificar:

Solución

Ha introducido [src]
sin(2*x)
--------
2*cos(x)
sin(2x)2cos(x)\frac{\sin{\left(2 x \right)}}{2 \cos{\left(x \right)}}
sin(2*x)/((2*cos(x)))
Simplificación general [src]
sin(x)
sin(x)\sin{\left(x \right)}
sin(x)
Respuesta numérica [src]
0.5*sin(2*x)/cos(x)
0.5*sin(2*x)/cos(x)
Potencias [src]
   /   -2*I*x    2*I*x\ 
-I*\- e       + e     / 
------------------------
      / I*x    -I*x\    
    2*\e    + e    /    
i(e2ixe2ix)2(eix+eix)- \frac{i \left(e^{2 i x} - e^{- 2 i x}\right)}{2 \left(e^{i x} + e^{- i x}\right)}
-i*(-exp(-2*i*x) + exp(2*i*x))/(2*(exp(i*x) + exp(-i*x)))
Abrimos la expresión [src]
sin(x)
sin(x)\sin{\left(x \right)}
sin(x)
Parte trigonométrica [src]
   /pi    \
csc|-- - x|
   \2     /
-----------
 2*csc(2*x)
csc(x+π2)2csc(2x)\frac{\csc{\left(- x + \frac{\pi}{2} \right)}}{2 \csc{\left(2 x \right)}}
  sec(x)  
----------
2*csc(2*x)
sec(x)2csc(2x)\frac{\sec{\left(x \right)}}{2 \csc{\left(2 x \right)}}
     1     
-----------
   /    pi\
sec|x - --|
   \    2 /
1sec(xπ2)\frac{1}{\sec{\left(x - \frac{\pi}{2} \right)}}
    /       2/x\\          
    |1 + tan |-||*tan(x)   
    \        \2//          
---------------------------
/       2   \ /       2/x\\
\1 + tan (x)/*|1 - tan |-||
              \        \2//
(tan2(x2)+1)tan(x)(1tan2(x2))(tan2(x)+1)\frac{\left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right) \tan{\left(x \right)}}{\left(1 - \tan^{2}{\left(\frac{x}{2} \right)}\right) \left(\tan^{2}{\left(x \right)} + 1\right)}
   /    pi\
cos|x - --|
   \    2 /
cos(xπ2)\cos{\left(x - \frac{\pi}{2} \right)}
       /x\ 
  2*cot|-| 
       \2/ 
-----------
       2/x\
1 + cot |-|
        \2/
2cot(x2)cot2(x2)+1\frac{2 \cot{\left(\frac{x}{2} \right)}}{\cot^{2}{\left(\frac{x}{2} \right)} + 1}
   /      pi\
cos|2*x - --|
   \      2 /
-------------
   2*cos(x)  
cos(2xπ2)2cos(x)\frac{\cos{\left(2 x - \frac{\pi}{2} \right)}}{2 \cos{\left(x \right)}}
   sin(2*x)  
-------------
     /    pi\
2*sin|x + --|
     \    2 /
sin(2x)2sin(x+π2)\frac{\sin{\left(2 x \right)}}{2 \sin{\left(x + \frac{\pi}{2} \right)}}
  1   
------
csc(x)
1csc(x)\frac{1}{\csc{\left(x \right)}}
       /x\ 
  2*tan|-| 
       \2/ 
-----------
       2/x\
1 + tan |-|
        \2/
2tan(x2)tan2(x2)+1\frac{2 \tan{\left(\frac{x}{2} \right)}}{\tan^{2}{\left(\frac{x}{2} \right)} + 1}
sin(x)
sin(x)\sin{\left(x \right)}
    /       2/x\\           
    |1 + cot |-||*cot(x)    
    \        \2//           
----------------------------
/       2   \ /        2/x\\
\1 + cot (x)/*|-1 + cot |-||
              \         \2//
(cot2(x2)+1)cot(x)(cot2(x2)1)(cot2(x)+1)\frac{\left(\cot^{2}{\left(\frac{x}{2} \right)} + 1\right) \cot{\left(x \right)}}{\left(\cot^{2}{\left(\frac{x}{2} \right)} - 1\right) \left(\cot^{2}{\left(x \right)} + 1\right)}
     sec(x)    
---------------
     /      pi\
2*sec|2*x - --|
     \      2 /
sec(x)2sec(2xπ2)\frac{\sec{\left(x \right)}}{2 \sec{\left(2 x - \frac{\pi}{2} \right)}}
sec(x)/(2*sec(2*x - pi/2))