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

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

Expresión a simplificar:

Solución

Ha introducido [src] 
   sin(x)   
------------
    ________
2*\/ cos(x)
sin⁡(x)2cos⁡(x)\frac{\sin{\left(x \right)}}{2 \sqrt{\cos{\left(x \right)}}} 
sin(x)/((2*sqrt(cos(x))))
Respuesta numérica [src] 
0.5*cos(x)^(-0.5)*sin(x)
0.5*cos(x)^(-0.5)*sin(x)
Denominador racional [src] 
  ________       
\/ cos(x) *sin(x)
-----------------
     2*cos(x)
sin⁡(x)cos⁡(x)2cos⁡(x)\frac{\sin{\left(x \right)} \sqrt{\cos{\left(x \right)}}}{2 \cos{\left(x \right)}} 
sqrt(cos(x))*sin(x)/(2*cos(x))
Potencias [src] 
    /   -I*x    I*x\ 
 -I*\- e     + e   / 
---------------------
       ______________
      /  I*x    -I*x 
     /  e      e     
4*  /   ---- + ----- 
  \/     2       2
−i(eix−e−ix)4eix2+e−ix2- \frac{i \left(e^{i x} - e^{- i x}\right)}{4 \sqrt{\frac{e^{i x}}{2} + \frac{e^{- i x}}{2}}} 
-i*(-exp(-i*x) + exp(i*x))/(4*sqrt(exp(i*x)/2 + exp(-i*x)/2))
Parte trigonométrica [src] 
                  /x\              
               tan|-|              
                  \2/              
-----------------------------------
        _____________              
       /        2/x\               
      /  1 - tan |-|               
     /           \2/  /       2/x\\
    /    ----------- *|1 + tan |-||
   /            2/x\  \        \2//
  /      1 + tan |-|               
\/               \2/
tan⁡(x2)1−tan⁡2(x2)tan⁡2(x2)+1(tan⁡2(x2)+1)\frac{\tan{\left(\frac{x}{2} \right)}}{\sqrt{\frac{1 - \tan^{2}{\left(\frac{x}{2} \right)}}{\tan^{2}{\left(\frac{x}{2} \right)} + 1}} \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right)} 
       sin(x)      
-------------------
      _____________
     /    /    pi\ 
2*  /  sin|x + --| 
  \/      \    2 /
sin⁡(x)2sin⁡(x+π2)\frac{\sin{\left(x \right)}}{2 \sqrt{\sin{\left(x + \frac{\pi}{2} \right)}}} 
          1          
---------------------
      ________       
     /   1           
2*  /  ------ *csc(x)
  \/   sec(x)
121sec⁡(x)csc⁡(x)\frac{1}{2 \sqrt{\frac{1}{\sec{\left(x \right)}}} \csc{\left(x \right)}} 
                  /x\               
               cot|-|               
                  \2/               
------------------------------------
        ______________              
       /         2/x\               
      /  -1 + cot |-|               
     /            \2/  /       2/x\\
    /    ------------ *|1 + cot |-||
   /            2/x\   \        \2//
  /      1 + cot |-|                
\/               \2/
cot⁡(x2)cot⁡2(x2)−1cot⁡2(x2)+1(cot⁡2(x2)+1)\frac{\cot{\left(\frac{x}{2} \right)}}{\sqrt{\frac{\cot^{2}{\left(\frac{x}{2} \right)} - 1}{\cot^{2}{\left(\frac{x}{2} \right)} + 1}} \left(\cot^{2}{\left(\frac{x}{2} \right)} + 1\right)} 
            1             
--------------------------
      ________            
     /   1        /    pi\
2*  /  ------ *sec|x - --|
  \/   sec(x)     \    2 /
121sec⁡(x)sec⁡(x−π2)\frac{1}{2 \sqrt{\frac{1}{\sec{\left(x \right)}}} \sec{\left(x - \frac{\pi}{2} \right)}} 
   /    pi\ 
cos|x - --| 
   \    2 / 
------------
    ________
2*\/ cos(x)
cos⁡(x−π2)2cos⁡(x)\frac{\cos{\left(x - \frac{\pi}{2} \right)}}{2 \sqrt{\cos{\left(x \right)}}} 
             1              
----------------------------
        _____________       
       /      1             
2*    /  ----------- *csc(x)
     /      /pi    \        
    /    csc|-- - x|        
  \/        \2     /
121csc⁡(−x+π2)csc⁡(x)\frac{1}{2 \sqrt{\frac{1}{\csc{\left(- x + \frac{\pi}{2} \right)}}} \csc{\left(x \right)}} 
1/(2*sqrt(1/csc(pi/2 - x))*csc(x))
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