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¿cómo vas a descomponer esta expresión en fracciones?:
z^(((p-3)/(p^2+3*p))/(12/(9-p^2))*(3/(3*p-p^2)))
(z+1)/(z+2)^3/(z-1)
(1+(1+(1+x)/(1-3x))/(1-3\(1+x)/(1-3x)))/(-3\(1+(1+x)/(1-3x))/(1-3\(1+x)/(1-3x)))
y/(x-y)+x^2+y^2/(2*x*y-2*x^2)
Factorizar el polinomio:
y^3-6*y^2*x+12*y*x^2-8*x^3
y^3-2*y^2*z-4*y*z+8*z^2
y^3-100
y^3+2*y^2*x^2-2*x^2
Descomponer al cuadrado:
y^4+8*y^2-3
y^4+8*y^2+2
-y^4+8*y^2+1
-y^4+7*y^2+4
Expresiones idénticas
sin(x)/(a*sqrt(uno -cos(x)^ dos /a^ dos))
seno de (x) dividir por (a multiplicar por raíz cuadrada de (1 menos coseno de (x) al cuadrado dividir por a al cuadrado ))
seno de (x) dividir por (a multiplicar por raíz cuadrada de (uno menos coseno de (x) en el grado dos dividir por a en el grado dos))
sin(x)/(a*√(1-cos(x)^2/a^2))
sin(x)/(a*sqrt(1-cos(x)2/a2))
sinx/a*sqrt1-cosx2/a2
sin(x)/(a*sqrt(1-cos(x)²/a²))
sin(x)/(a*sqrt(1-cos(x) en el grado 2/a en el grado 2))
sin(x)/(asqrt(1-cos(x)^2/a^2))
sin(x)/(asqrt(1-cos(x)2/a2))
sinx/asqrt1-cosx2/a2
sinx/asqrt1-cosx^2/a^2
sin(x) dividir por (a*sqrt(1-cos(x)^2 dividir por a^2))
Expresiones semejantes
sin(x)/(a*sqrt(1+cos(x)^2/a^2))
sinx/(a*sqrt(1-cosx^2/a^2))
Expresiones con funciones
Seno sin
sin(x)^(3)/(1+cos(x))+sin(x)^(3)/(1-sin(x)^(2))
sin((x+6)/3)^3/6-1/((x+4)*log(2))/(x+4)-cos((x+6)/3)^2*sin((x+6)/3)/3
sin(x)/(((1-tan(x/2))/(1+tan(x/2)))*(1+sin(x)))
sin(x)/((1-tan(x/2))/(1+tan(x/2)))*(1+sin(x))
sin(x)/(1+sin(x))-(1-cos(x))*cos(x)/(1+sin(x))^2
Raíz cuadrada sqrt
sqrt(x*(7+x))*(7/2+x)/(x*(7+x))
sqrt((x-9)/(x+9))*(x+9)*(1/(2*(x+9))-(x-9)/(2*(x+9)^2))/(x-9)
sqrt(x^3/(x-1))*(x-1)*(-x^3/(2*(x-1)^2)+3*x^2/(2*(x-1)))/x^3
sqrt((x+2)/(x-2))+sqrt((x-2)/(x+2))/sqrt((x+2)/(x-2))-sqrt((x-2)/(x+2))
sqrt(x)*(cbrt(x)+(x/(3x^(2/3))))
Coseno cos
cos(x)/(cos(x+pi/6))
cos(x)^atan(x+pi/4)*(log(cos(x))/(1+(x+pi/4)^2)-atan(x+pi/4)*sin(x)/cos(x))
cos(x)/2+x/(1+x^2)-x*sin(x)/2+atan(x)
cos(x)/(1-x)^2-sin(x)/(1-x)
cos(x)/(1+sin(x))-cos(x)*sin(x)/(1+sin(x))^2

Simplificación de expresiones/ Descomposición en fracciones simples/ sin(x)/(a*sqrt(1-cos(x)^2/a^2))

¿Cómo vas a descomponer esta sin(x)/(a*sqrt(1-cos(x)^2/a^2)) expresión en fracciones?

Solución

Ha introducido [src]

        sin(x)       
---------------------
        _____________
       /        2    
      /      cos (x) 
a*   /   1 - ------- 
    /            2   
  \/            a

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

sin(x)/((a*sqrt(1 - cos(x)^2/a^2)))

Unión de expresiones racionales [src]

        sin(x)        
----------------------
        ______________
       /  2      2    
      /  a  - cos (x) 
a*   /   ------------ 
    /          2      
  \/          a

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

sin(x)/(a*sqrt((a^2 - cos(x)^2)/a^2))

Potencias [src]

          /   -I*x    I*x\        
       -I*\- e     + e   /        
----------------------------------
             _____________________
            /                   2 
           /      / I*x    -I*x\  
          /       |e      e    |  
         /        |---- + -----|  
        /         \ 2       2  /  
2*a*   /      1 - --------------- 
      /                   2       
    \/                   a

- \frac{i \left(e^{i x} - e^{- i x}\right)}{2 a \sqrt{1 - \frac{\left(\frac{e^{i x}}{2} + \frac{e^{- i x}}{2}\right)^{2}}{a^{2}}}}

-i*(-exp(-i*x) + exp(i*x))/(2*a*sqrt(1 - (exp(i*x)/2 + exp(-i*x)/2)^2/a^2))

Combinatoria [src]

               sin(x)              
-----------------------------------
      _____________________________
     /  /    cos(x)\ /     cos(x)\ 
a*  /  -|1 + ------|*|-1 + ------| 
  \/    \      a   / \       a   /

\frac{\sin{\left(x \right)}}{a \sqrt{- \left(-1 + \frac{\cos{\left(x \right)}}{a}\right) \left(1 + \frac{\cos{\left(x \right)}}{a}\right)}}

sin(x)/(a*sqrt(-(1 + cos(x)/a)*(-1 + cos(x)/a)))

Parte trigonométrica [src]

                          /x\                    
                     2*tan|-|                    
                          \2/                    
-------------------------------------------------
                          _______________________
                         /                    2  
                        /        /       2/x\\   
                       /         |1 - tan |-||   
  /       2/x\\       /          \        \2//   
a*|1 + tan |-||*     /     1 - ----------------- 
  \        \2//     /                          2 
                   /            2 /       2/x\\  
                  /            a *|1 + tan |-||  
                \/                \        \2//

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

                          /x\                    
                     2*cot|-|                    
                          \2/                    
-------------------------------------------------
                          _______________________
                         /                    2  
                        /       /        2/x\\   
                       /        |-1 + cot |-||   
  /       2/x\\       /         \         \2//   
a*|1 + cot |-||*     /     1 - ----------------- 
  \        \2//     /                          2 
                   /            2 /       2/x\\  
                  /            a *|1 + cot |-||  
                \/                \        \2//

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

                      ___    /x\                 
                  2*\/ 2 *cot|-|                 
                             \2/                 
-------------------------------------------------
                      ___________________________
                     /                    2      
  /       2/x\\     /      1      -1 + cot (x)   
a*|1 + cot |-||*   /   2 - -- - ---------------- 
  \        \2//   /         2    2 /       2   \ 
                \/         a    a *\1 + cot (x)/

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

         ___              
       \/ 2 *sin(x)       
--------------------------
       ___________________
      /     1    cos(2*x) 
a*   /  2 - -- - -------- 
    /        2       2    
  \/        a       a

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

        /    pi\     
     cos|x - --|     
        \    2 /     
---------------------
        _____________
       /        2    
      /      cos (x) 
a*   /   1 - ------- 
    /            2   
  \/            a

\frac{\cos{\left(x - \frac{\pi}{2} \right)}}{a \sqrt{1 - \frac{\cos^{2}{\left(x \right)}}{a^{2}}}}

                 1                  
------------------------------------
        _____________________       
       /            1               
a*    /  1 - --------------- *csc(x)
     /        2    2/pi    \        
    /        a *csc |-- - x|        
  \/                \2     /

\frac{1}{a \sqrt{1 - \frac{1}{a^{2} \csc^{2}{\left(- x + \frac{\pi}{2} \right)}}} \csc{\left(x \right)}}

                 1                 
-----------------------------------
       ________________            
      /         1          /    pi\
a*   /  1 - ---------- *sec|x - --|
    /        2    2        \    2 /
  \/        a *sec (x)

\frac{1}{a \sqrt{1 - \frac{1}{a^{2} \sec^{2}{\left(x \right)}}} \sec{\left(x - \frac{\pi}{2} \right)}}

                    ___                   
                  \/ 2                    
------------------------------------------
        ___________________________       
       /     1           1                
a*    /  2 - -- - ---------------- *csc(x)
     /        2    2    /pi      \        
    /        a    a *csc|-- - 2*x|        
  \/                    \2       /

\frac{\sqrt{2}}{a \sqrt{2 - \frac{1}{a^{2}} - \frac{1}{a^{2} \csc{\left(- 2 x + \frac{\pi}{2} \right)}}} \csc{\left(x \right)}}

             ___                 
           \/ 2 *sin(x)          
---------------------------------
         ________________________
        /             /pi      \ 
       /           sin|-- + 2*x| 
      /       1       \2       / 
a*   /    2 - -- - ------------- 
    /          2          2      
  \/          a          a

\frac{\sqrt{2} \sin{\left(x \right)}}{a \sqrt{2 - \frac{\sin{\left(2 x + \frac{\pi}{2} \right)}}{a^{2}} - \frac{1}{a^{2}}}}

      ___    /    pi\     
    \/ 2 *cos|x - --|     
             \    2 /     
--------------------------
       ___________________
      /     1    cos(2*x) 
a*   /  2 - -- - -------- 
    /        2       2    
  \/        a       a

\frac{\sqrt{2} \cos{\left(x - \frac{\pi}{2} \right)}}{a \sqrt{2 - \frac{\cos{\left(2 x \right)}}{a^{2}} - \frac{1}{a^{2}}}}

                      ___    /x\                 
                  2*\/ 2 *tan|-|                 
                             \2/                 
-------------------------------------------------
                      ___________________________
                     /                   2       
  /       2/x\\     /      1      1 - tan (x)    
a*|1 + tan |-||*   /   2 - -- - ---------------- 
  \        \2//   /         2    2 /       2   \ 
                \/         a    a *\1 + tan (x)/

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

              1               
------------------------------
       ________________       
      /         1             
a*   /  1 - ---------- *csc(x)
    /        2    2           
  \/        a *sec (x)

\frac{1}{a \sqrt{1 - \frac{1}{a^{2} \sec^{2}{\left(x \right)}}} \csc{\left(x \right)}}

                    ___                  
                  \/ 2                   
-----------------------------------------
       ______________________            
      /     1         1          /    pi\
a*   /  2 - -- - ----------- *sec|x - --|
    /        2    2              \    2 /
  \/        a    a *sec(2*x)

\frac{\sqrt{2}}{a \sqrt{2 - \frac{1}{a^{2}} - \frac{1}{a^{2} \sec{\left(2 x \right)}}} \sec{\left(x - \frac{\pi}{2} \right)}}

           sin(x)          
---------------------------
         __________________
        /        2/    pi\ 
       /      sin |x + --| 
      /           \    2 / 
a*   /    1 - ------------ 
    /               2      
  \/               a

\frac{\sin{\left(x \right)}}{a \sqrt{1 - \frac{\sin^{2}{\left(x + \frac{\pi}{2} \right)}}{a^{2}}}}

sin(x)/(a*sqrt(1 - sin(x + pi/2)^2/a^2))

Respuesta numérica [src]

(1.0 - cos(x)^2/a^2)^(-0.5)*sin(x)/a

(1.0 - cos(x)^2/a^2)^(-0.5)*sin(x)/a

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

Expresiones con funciones

¿Cómo vas a descomponer esta sin(x)/(a*sqrt(1-cos(x)^2/a^2)) expresión en fracciones?

Solución