Sr Examen

Otras calculadoras

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

Expresión a simplificar:

Solución

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))