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

Ha introducido [src]

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

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

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

Simplificación general [src]

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

- x + \frac{\tan{\left(2 x \right)}}{2}

tan(2*x)/2 - x

Respuesta numérica [src]

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

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

Unión de expresiones racionales [src]

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

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

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

Denominador racional [src]

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

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

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

Potencias [src]

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

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

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

Combinatoria [src]

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

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

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

Abrimos la expresión [src]

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

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

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

Parte trigonométrica [src]

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

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

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

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

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

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

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

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

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

- x + \frac{\tan{\left(2 x \right)}}{2}

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

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

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

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

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

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

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

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

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

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

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

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