Sr Examen

Lang:

Otras calculadoras

¿Cómo usar?
¿cómo vas a descomponer esta expresión en fracciones?:
(z/c+c/z)/((z^2+c^2)/(5*z^9*c))
(x+5)/(x^2+22*x+85)
(z^2-m^2)/(z^2*m+z*m^2)-5/z
a/(a+b)+a^2/(b^2-a^2)
Factorizar el polinomio:
z^2+5*i*z+5*i*z^3/3
z^2+14*z+4
y^n+3-y-1+y^n+1
y^6+y^4-3*y^2+1
Descomponer al cuadrado:
-y^4+y^2-10
y^4+9*y^2-6
y^4-9*y^2-5
y^4-9*y^2-3
Expresiones idénticas
exp^(t)*sqrt(dos)*cos(t+(pi/ cuatro))/(cos(t+(pi/ cuatro)))^ dos
exponente de en el grado (t) multiplicar por raíz cuadrada de (2) multiplicar por coseno de (t más ( número pi dividir por 4)) dividir por ( coseno de (t más ( número pi dividir por 4))) al cuadrado
exponente de en el grado (t) multiplicar por raíz cuadrada de (dos) multiplicar por coseno de (t más ( número pi dividir por cuatro)) dividir por ( coseno de (t más ( número pi dividir por cuatro))) en el grado dos
exp^(t)*√(2)*cos(t+(pi/4))/(cos(t+(pi/4)))^2
exp(t)*sqrt(2)*cos(t+(pi/4))/(cos(t+(pi/4)))2
expt*sqrt2*cost+pi/4/cost+pi/42
exp^(t)*sqrt(2)*cos(t+(pi/4))/(cos(t+(pi/4)))²
exp en el grado (t)*sqrt(2)*cos(t+(pi/4))/(cos(t+(pi/4))) en el grado 2
exp^(t)sqrt(2)cos(t+(pi/4))/(cos(t+(pi/4)))^2
exp(t)sqrt(2)cos(t+(pi/4))/(cos(t+(pi/4)))2
exptsqrt2cost+pi/4/cost+pi/42
exp^tsqrt2cost+pi/4/cost+pi/4^2
exp^(t)*sqrt(2)*cos(t+(pi dividir por 4)) dividir por (cos(t+(pi dividir por 4)))^2
Expresiones semejantes
exp^(t)*sqrt(2)*cos(t+(pi/4))/(cos(t-(pi/4)))^2
exp^(t)*sqrt(2)*cos(t-(pi/4))/(cos(t+(pi/4)))^2
Expresiones con funciones
Exponente exp
exp(-2/(3*pi))
exp(-x)/(2*sqrt(x))-sqrt(x)*exp(-x)
exp(x)/sqrt(1-exp(2*x))-exp(2*x)/(sqrt(1-e^(2*x))*sqrt(exp(2*x)))
exp(5/(2*pi))
exp(x)/(x^2+5*x)+(-5-2*x)*exp(x)/(x^2+5*x)^2
Raíz cuadrada sqrt
sqrt(-x/(-1+x))*(-1+x/(-1+x))*(2/x+2/(-1+x)+(-1+x/(-1+x))/x)/(4*x)
sqrt(x)*(-1+4*x)+(2*x^2-x)/(2*sqrt(x))
sqrt((49/50-x^2/(193/2)^2)*71²)
sqrt(x)-2/(sqrt(x)-3)-sqrt(x)/(2*sqrt(x)-3)
sqrt((4+2)/(3*4+1))+((8*4^2+3)/(1-9*4^2))*((4+0.5)/(9*4+3))
Coseno cos
cos(x)*log(atan(sqrt(sin(x))))/((1+sin(x))*atan(sqrt(sin(x)))*sqrt(sin(x)))
cos(4*x)/(8*(cos(4*x)^2)^(3/2))
cos(6*a)/(cos(3*a)+sin(3*a))
cos(3*pi/(2+a))/sin(a)
cos(x-pi/2)^(2)*cot(x+pi/2)^(2)/(cos(x+pi/2)+cot(x-pi/2))*(cot(x-pi/2)-cos(x+pi/2))
Número Pi pi
pi*sin(pi/(z+1))/(z+1)^2
pi/(3*(1+pi^2*x^2/9))
Piecewise((-a^2*acosh(x/a)/2+x^3/(2*a*sqrt(-1+x^2/a^2))-a*x/(2*sqrt(-1+x^2/a^2)),|x^2/a^2|>1),(i*a^2*asin(x/a)/2+i*a*x*sqrt(1-x^2/a^2)/2,True))
pi/4-atan(x/(x+2))
Coseno cos
cos(x)*log(atan(sqrt(sin(x))))/((1+sin(x))*atan(sqrt(sin(x)))*sqrt(sin(x)))
cos(4*x)/(8*(cos(4*x)^2)^(3/2))
cos(6*a)/(cos(3*a)+sin(3*a))
cos(3*pi/(2+a))/sin(a)
cos(x-pi/2)^(2)*cot(x+pi/2)^(2)/(cos(x+pi/2)+cot(x-pi/2))*(cot(x-pi/2)-cos(x+pi/2))
Número Pi pi
pi*sin(pi/(z+1))/(z+1)^2
pi/(3*(1+pi^2*x^2/9))
Piecewise((-a^2*acosh(x/a)/2+x^3/(2*a*sqrt(-1+x^2/a^2))-a*x/(2*sqrt(-1+x^2/a^2)),|x^2/a^2|>1),(i*a^2*asin(x/a)/2+i*a*x*sqrt(1-x^2/a^2)/2,True))
pi/4-atan(x/(x+2))

Simplificación de expresiones/ Descomposición en fracciones simples/ exp^(t)*sqrt(2)*cos(t+(pi/4))/(cos(t+(pi/4)))^2

¿Cómo vas a descomponer esta exp^(t)sqrt(2)cos(t+(pi/4))/(cos(t+(pi/4)))^2 expresión en fracciones?

Solución

Ha introducido [src]

 t   ___    /    pi\
E *\/ 2 *cos|t + --|
            \    4 /
--------------------
       2/    pi\    
    cos |t + --|    
        \    4 /

\frac{\sqrt{2} e^{t} \cos{\left(t + \frac{\pi}{4} \right)}}{\cos^{2}{\left(t + \frac{\pi}{4} \right)}}

((E^t*sqrt(2))*cos(t + pi/4))/cos(t + pi/4)^2

Simplificación general [src]

    ___  t 
  \/ 2 *e  
-----------
   /    pi\
cos|t + --|
   \    4 /

\frac{\sqrt{2} e^{t}}{\cos{\left(t + \frac{\pi}{4} \right)}}

sqrt(2)*exp(t)/cos(t + pi/4)

Respuesta numérica [src]

1.4142135623731*2.71828182845905^t/cos(t + pi/4)

1.4142135623731*2.71828182845905^t/cos(t + pi/4)

Combinatoria [src]

    ___  t 
  \/ 2 *e  
-----------
   /    pi\
cos|t + --|
   \    4 /

\frac{\sqrt{2} e^{t}}{\cos{\left(t + \frac{\pi}{4} \right)}}

sqrt(2)*exp(t)/cos(t + pi/4)

Unión de expresiones racionales [src]

     ___  t  
   \/ 2 *e   
-------------
   /pi + 4*t\
cos|--------|
   \   4    /

\frac{\sqrt{2} e^{t}}{\cos{\left(\frac{4 t + \pi}{4} \right)}}

sqrt(2)*exp(t)/cos((pi + 4*t)/4)

Denominador común [src]

    ___  t 
  \/ 2 *e  
-----------
   /    pi\
cos|t + --|
   \    4 /

\frac{\sqrt{2} e^{t}}{\cos{\left(t + \frac{\pi}{4} \right)}}

sqrt(2)*exp(t)/cos(t + pi/4)

Potencias [src]

           ___  t         
         \/ 2 *e          
--------------------------
   /    pi\      /     pi\
 I*|t + --|    I*|-t - --|
   \    4 /      \     4 /
e             e           
----------- + ------------
     2             2

\frac{\sqrt{2} e^{t}}{\frac{e^{i \left(- t - \frac{\pi}{4}\right)}}{2} + \frac{e^{i \left(t + \frac{\pi}{4}\right)}}{2}}

    ___  t 
  \/ 2 *e  
-----------
   /    pi\
cos|t + --|
   \    4 /

\frac{\sqrt{2} e^{t}}{\cos{\left(t + \frac{\pi}{4} \right)}}

sqrt(2)*exp(t)/cos(t + pi/4)

Compilar la expresión [src]

    ___  t 
  \/ 2 *e  
-----------
   /    pi\
cos|t + --|
   \    4 /

\frac{\sqrt{2} e^{t}}{\cos{\left(t + \frac{\pi}{4} \right)}}

sqrt(2)*exp(t)/cos(t + pi/4)

Abrimos la expresión [src]

            ___  t         
          \/ 2 *e          
---------------------------
  ___            ___       
\/ 2 *cos(t)   \/ 2 *sin(t)
------------ - ------------
     2              2

\frac{\sqrt{2} e^{t}}{- \frac{\sqrt{2} \sin{\left(t \right)}}{2} + \frac{\sqrt{2} \cos{\left(t \right)}}{2}}

sqrt(2)*exp(t)/(sqrt(2)*cos(t)/2 - sqrt(2)*sin(t)/2)

Parte trigonométrica [src]

  ___                    t /       2/t   pi\\
\/ 2 *(cosh(1) + sinh(1)) *|1 + tan |- + --||
                           \        \2   8 //
---------------------------------------------
                      2/t   pi\              
               1 - tan |- + --|              
                       \2   8 /

\frac{\sqrt{2} \left(\tan^{2}{\left(\frac{t}{2} + \frac{\pi}{8} \right)} + 1\right) \left(\sinh{\left(1 \right)} + \cosh{\left(1 \right)}\right)^{t}}{1 - \tan^{2}{\left(\frac{t}{2} + \frac{\pi}{8} \right)}}

      ___                         
    \/ 2 *(cosh(t) + sinh(t))     
----------------------------------
/         2/    pi\ \             
|      sin |t + --| |             
|          \    4 / |    2/t   pi\
|-1 + --------------|*sin |- + --|
|          4/t   pi\|     \2   8 /
|     4*sin |- + --||             
\           \2   8 //

\frac{\sqrt{2} \left(\sinh{\left(t \right)} + \cosh{\left(t \right)}\right)}{\left(-1 + \frac{\sin^{2}{\left(t + \frac{\pi}{4} \right)}}{4 \sin^{4}{\left(\frac{t}{2} + \frac{\pi}{8} \right)}}\right) \sin^{2}{\left(\frac{t}{2} + \frac{\pi}{8} \right)}}

  ___ /       2/t   pi\\  t
\/ 2 *|1 + tan |- + --||*e 
      \        \2   8 //   
---------------------------
             2/t   pi\     
      1 - tan |- + --|     
              \2   8 /

\frac{\sqrt{2} \left(\tan^{2}{\left(\frac{t}{2} + \frac{\pi}{8} \right)} + 1\right) e^{t}}{1 - \tan^{2}{\left(\frac{t}{2} + \frac{\pi}{8} \right)}}

      /         4/t   pi\\                    
      |    4*sin |- + --||                    
  ___ |          \2   8 /|                    
\/ 2 *|1 + --------------|*(cosh(t) + sinh(t))
      |        2/    pi\ |                    
      |     sin |t + --| |                    
      \         \    4 / /                    
----------------------------------------------
                       4/t   pi\              
                  4*sin |- + --|              
                        \2   8 /              
              1 - --------------              
                      2/    pi\               
                   sin |t + --|               
                       \    4 /

\frac{\sqrt{2} \left(\frac{4 \sin^{4}{\left(\frac{t}{2} + \frac{\pi}{8} \right)}}{\sin^{2}{\left(t + \frac{\pi}{4} \right)}} + 1\right) \left(\sinh{\left(t \right)} + \cosh{\left(t \right)}\right)}{- \frac{4 \sin^{4}{\left(\frac{t}{2} + \frac{\pi}{8} \right)}}{\sin^{2}{\left(t + \frac{\pi}{4} \right)}} + 1}

      /        2/t   pi\ \   
      |     sec |- + --| |   
  ___ |         \2   8 / |  t
\/ 2 *|1 + --------------|*e 
      |       2/t   3*pi\|   
      |    sec |- - ----||   
      \        \2    8  //   
-----------------------------
              2/t   pi\      
           sec |- + --|      
               \2   8 /      
      1 - --------------     
             2/t   3*pi\     
          sec |- - ----|     
              \2    8  /

\frac{\sqrt{2} \left(1 + \frac{\sec^{2}{\left(\frac{t}{2} + \frac{\pi}{8} \right)}}{\sec^{2}{\left(\frac{t}{2} - \frac{3 \pi}{8} \right)}}\right) e^{t}}{1 - \frac{\sec^{2}{\left(\frac{t}{2} + \frac{\pi}{8} \right)}}{\sec^{2}{\left(\frac{t}{2} - \frac{3 \pi}{8} \right)}}}

   ___                    t /       2/t   pi\\ 
-\/ 2 *(cosh(1) + sinh(1)) *|1 + tan |- + --|| 
                            \        \2   8 // 
-----------------------------------------------
                       2/t   pi\               
               -1 + tan |- + --|               
                        \2   8 /

- \frac{\sqrt{2} \left(\tan^{2}{\left(\frac{t}{2} + \frac{\pi}{8} \right)} + 1\right) \left(\sinh{\left(1 \right)} + \cosh{\left(1 \right)}\right)^{t}}{\tan^{2}{\left(\frac{t}{2} + \frac{\pi}{8} \right)} - 1}

  ___  t    /    pi\
\/ 2 *e *sec|t + --|
            \    4 /

\sqrt{2} e^{t} \sec{\left(t + \frac{\pi}{4} \right)}

   ___ /       2/t   pi\\                     
-\/ 2 *|1 + tan |- + --||*(cosh(t) + sinh(t)) 
       \        \2   8 //                     
----------------------------------------------
                      2/t   pi\               
              -1 + tan |- + --|               
                       \2   8 /

- \frac{\sqrt{2} \left(\tan^{2}{\left(\frac{t}{2} + \frac{\pi}{8} \right)} + 1\right) \left(\sinh{\left(t \right)} + \cosh{\left(t \right)}\right)}{\tan^{2}{\left(\frac{t}{2} + \frac{\pi}{8} \right)} - 1}

  ___    2/t   3*pi\  t
\/ 2 *sec |- - ----|*e 
          \2    8  /   
-----------------------
             1         
   -1 + ------------   
           2/t   pi\   
        tan |- + --|   
            \2   8 /

\frac{\sqrt{2} e^{t} \sec^{2}{\left(\frac{t}{2} - \frac{3 \pi}{8} \right)}}{-1 + \frac{1}{\tan^{2}{\left(\frac{t}{2} + \frac{\pi}{8} \right)}}}

  ___                    t /       2/t   pi\\
\/ 2 *(cosh(1) + sinh(1)) *|1 + cot |- + --||
                           \        \2   8 //
---------------------------------------------
                      2/t   pi\              
              -1 + cot |- + --|              
                       \2   8 /

\frac{\sqrt{2} \left(\cot^{2}{\left(\frac{t}{2} + \frac{\pi}{8} \right)} + 1\right) \left(\sinh{\left(1 \right)} + \cosh{\left(1 \right)}\right)^{t}}{\cot^{2}{\left(\frac{t}{2} + \frac{\pi}{8} \right)} - 1}

              ___  t            
            \/ 2 *e             
--------------------------------
/        2/t   pi\\    2/t   pi\
|-1 + cot |- + --||*sin |- + --|
\         \2   8 //     \2   8 /

\frac{\sqrt{2} e^{t}}{\left(\cot^{2}{\left(\frac{t}{2} + \frac{\pi}{8} \right)} - 1\right) \sin^{2}{\left(\frac{t}{2} + \frac{\pi}{8} \right)}}

    ___    /    pi\  t
2*\/ 2 *cos|t + --|*e 
           \    4 /   
----------------------
     1 - sin(2*t)

\frac{2 \sqrt{2} e^{t} \cos{\left(t + \frac{\pi}{4} \right)}}{1 - \sin{\left(2 t \right)}}

  ___                    
\/ 2 *(cosh(t) + sinh(t))
-------------------------
         /    3*pi\      
      sin|t + ----|      
         \     4  /

\frac{\sqrt{2} \left(\sinh{\left(t \right)} + \cosh{\left(t \right)}\right)}{\sin{\left(t + \frac{3 \pi}{4} \right)}}

     ___                    t   
   \/ 2 *(cosh(1) + sinh(1))    
--------------------------------
/        2/t   pi\\    2/t   pi\
|-1 + cot |- + --||*sin |- + --|
\         \2   8 //     \2   8 /

\frac{\sqrt{2} \left(\sinh{\left(1 \right)} + \cosh{\left(1 \right)}\right)^{t}}{\left(\cot^{2}{\left(\frac{t}{2} + \frac{\pi}{8} \right)} - 1\right) \sin^{2}{\left(\frac{t}{2} + \frac{\pi}{8} \right)}}

      /       2/t   3*pi\\                    
      |    cos |- - ----||                    
  ___ |        \2    8  /|                    
\/ 2 *|1 + --------------|*(cosh(t) + sinh(t))
      |        2/t   pi\ |                    
      |     cos |- + --| |                    
      \         \2   8 / /                    
----------------------------------------------
                     2/t   3*pi\              
                  cos |- - ----|              
                      \2    8  /              
              1 - --------------              
                      2/t   pi\               
                   cos |- + --|               
                       \2   8 /

\frac{\sqrt{2} \left(\frac{\cos^{2}{\left(\frac{t}{2} - \frac{3 \pi}{8} \right)}}{\cos^{2}{\left(\frac{t}{2} + \frac{\pi}{8} \right)}} + 1\right) \left(\sinh{\left(t \right)} + \cosh{\left(t \right)}\right)}{- \frac{\cos^{2}{\left(\frac{t}{2} - \frac{3 \pi}{8} \right)}}{\cos^{2}{\left(\frac{t}{2} + \frac{\pi}{8} \right)}} + 1}

  ___ /       2/t   pi\\  t
\/ 2 *|1 + cot |- + --||*e 
      \        \2   8 //   
---------------------------
             2/t   pi\     
     -1 + cot |- + --|     
              \2   8 /

\frac{\sqrt{2} \left(\cot^{2}{\left(\frac{t}{2} + \frac{\pi}{8} \right)} + 1\right) e^{t}}{\cot^{2}{\left(\frac{t}{2} + \frac{\pi}{8} \right)} - 1}

  ___                    
\/ 2 *(cosh(t) + sinh(t))
-------------------------
          /    pi\       
       cos|t + --|       
          \    4 /

\frac{\sqrt{2} \left(\sinh{\left(t \right)} + \cosh{\left(t \right)}\right)}{\cos{\left(t + \frac{\pi}{4} \right)}}

       ___                          
     \/ 2 *(cosh(t) + sinh(t))      
------------------------------------
/         2/t   pi\ \               
|      cos |- + --| |               
|          \2   8 / |    2/t   3*pi\
|-1 + --------------|*cos |- - ----|
|        2/t   3*pi\|     \2    8  /
|     cos |- - ----||               
\         \2    8  //

\frac{\sqrt{2} \left(\sinh{\left(t \right)} + \cosh{\left(t \right)}\right)}{\left(-1 + \frac{\cos^{2}{\left(\frac{t}{2} + \frac{\pi}{8} \right)}}{\cos^{2}{\left(\frac{t}{2} - \frac{3 \pi}{8} \right)}}\right) \cos^{2}{\left(\frac{t}{2} - \frac{3 \pi}{8} \right)}}

                           2      
     ___ /       2/t   pi\\   t   
   \/ 2 *|1 + cot |- + --|| *e    
         \        \4   16//       
----------------------------------
  /        2/t   pi\\    2/t   pi\
4*|-1 + cot |- + --||*cot |- + --|
  \         \2   8 //     \4   16/

\frac{\sqrt{2} \left(\cot^{2}{\left(\frac{t}{4} + \frac{\pi}{16} \right)} + 1\right)^{2} e^{t}}{4 \left(\cot^{2}{\left(\frac{t}{2} + \frac{\pi}{8} \right)} - 1\right) \cot^{2}{\left(\frac{t}{4} + \frac{\pi}{16} \right)}}

  ___    2/t   pi\  t
\/ 2 *csc |- + --|*e 
          \2   8 /   
---------------------
            1        
  -1 + ------------  
          2/t   pi\  
       tan |- + --|  
           \2   8 /

\frac{\sqrt{2} e^{t} \csc^{2}{\left(\frac{t}{2} + \frac{\pi}{8} \right)}}{-1 + \frac{1}{\tan^{2}{\left(\frac{t}{2} + \frac{\pi}{8} \right)}}}

        ___    2/t   pi\  t       
      \/ 2 *tan |- + --|*e        
                \4   16/          
----------------------------------
  /        2/t   pi\\    4/t   pi\
4*|-1 + cot |- + --||*sin |- + --|
  \         \2   8 //     \4   16/

\frac{\sqrt{2} e^{t} \tan^{2}{\left(\frac{t}{4} + \frac{\pi}{16} \right)}}{4 \left(\cot^{2}{\left(\frac{t}{2} + \frac{\pi}{8} \right)} - 1\right) \sin^{4}{\left(\frac{t}{4} + \frac{\pi}{16} \right)}}

  ___                    t
\/ 2 *(cosh(1) + sinh(1)) 
--------------------------
         /    3*pi\       
      sin|t + ----|       
         \     4  /

\frac{\sqrt{2} \left(\sinh{\left(1 \right)} + \cosh{\left(1 \right)}\right)^{t}}{\sin{\left(t + \frac{3 \pi}{4} \right)}}

  ___                    t    /     pi\
\/ 2 *(cosh(1) + sinh(1)) *csc|-t + --|
                              \     4 /

\sqrt{2} \left(\sinh{\left(1 \right)} + \cosh{\left(1 \right)}\right)^{t} \csc{\left(- t + \frac{\pi}{4} \right)}

      /       2/  t   3*pi\\   
      |    csc |- - + ----||   
  ___ |        \  2    8  /|  t
\/ 2 *|1 + ----------------|*e 
      |         2/t   pi\  |   
      |      csc |- + --|  |   
      \          \2   8 /  /   
-------------------------------
             2/  t   3*pi\     
          csc |- - + ----|     
              \  2    8  /     
      1 - ----------------     
               2/t   pi\       
            csc |- + --|       
                \2   8 /

\frac{\sqrt{2} \left(\frac{\csc^{2}{\left(- \frac{t}{2} + \frac{3 \pi}{8} \right)}}{\csc^{2}{\left(\frac{t}{2} + \frac{\pi}{8} \right)}} + 1\right) e^{t}}{- \frac{\csc^{2}{\left(- \frac{t}{2} + \frac{3 \pi}{8} \right)}}{\csc^{2}{\left(\frac{t}{2} + \frac{\pi}{8} \right)}} + 1}

  ___                    t    /    pi\
\/ 2 *(cosh(1) + sinh(1)) *sec|t + --|
                              \    4 /

\sqrt{2} \left(\sinh{\left(1 \right)} + \cosh{\left(1 \right)}\right)^{t} \sec{\left(t + \frac{\pi}{4} \right)}

      ___                        
   -\/ 2 *(cosh(t) + sinh(t))    
---------------------------------
/        2/    pi\ \             
|     sin |t + --| |             
|         \    4 / |    2/t   pi\
|1 - --------------|*sin |- + --|
|         4/t   pi\|     \2   8 /
|    4*sin |- + --||             
\          \2   8 //

- \frac{\sqrt{2} \left(\sinh{\left(t \right)} + \cosh{\left(t \right)}\right)}{\left(1 - \frac{\sin^{2}{\left(t + \frac{\pi}{4} \right)}}{4 \sin^{4}{\left(\frac{t}{2} + \frac{\pi}{8} \right)}}\right) \sin^{2}{\left(\frac{t}{2} + \frac{\pi}{8} \right)}}

      /         4/t   pi\\                    
      |    8*sin |- + --||                    
  ___ |          \2   8 /|                    
\/ 2 *|1 + --------------|*(cosh(t) + sinh(t))
      \     1 + sin(2*t) /                    
----------------------------------------------
                       4/t   pi\              
                  8*sin |- + --|              
                        \2   8 /              
              1 - --------------              
                   1 + sin(2*t)

\frac{\sqrt{2} \left(1 + \frac{8 \sin^{4}{\left(\frac{t}{2} + \frac{\pi}{8} \right)}}{\sin{\left(2 t \right)} + 1}\right) \left(\sinh{\left(t \right)} + \cosh{\left(t \right)}\right)}{1 - \frac{8 \sin^{4}{\left(\frac{t}{2} + \frac{\pi}{8} \right)}}{\sin{\left(2 t \right)} + 1}}

  ___    2/t   3*pi\  t
\/ 2 *sec |- - ----|*e 
          \2    8  /   
-----------------------
          2/t   3*pi\  
       sec |- - ----|  
           \2    8  /  
  -1 + --------------  
           2/t   pi\   
        sec |- + --|   
            \2   8 /

\frac{\sqrt{2} e^{t} \sec^{2}{\left(\frac{t}{2} - \frac{3 \pi}{8} \right)}}{\frac{\sec^{2}{\left(\frac{t}{2} - \frac{3 \pi}{8} \right)}}{\sec^{2}{\left(\frac{t}{2} + \frac{\pi}{8} \right)}} - 1}

  ___                    t
\/ 2 *(cosh(1) + sinh(1)) 
--------------------------
          /    pi\        
       cos|t + --|        
          \    4 /

\frac{\sqrt{2} \left(\sinh{\left(1 \right)} + \cosh{\left(1 \right)}\right)^{t}}{\cos{\left(t + \frac{\pi}{4} \right)}}

  ___ /       2/t   3*pi\\  t
\/ 2 *|1 + tan |- + ----||*e 
      \        \2    8  //   
-----------------------------
            /t   3*pi\       
       2*tan|- + ----|       
            \2    8  /

\frac{\sqrt{2} \left(\tan^{2}{\left(\frac{t}{2} + \frac{3 \pi}{8} \right)} + 1\right) e^{t}}{2 \tan{\left(\frac{t}{2} + \frac{3 \pi}{8} \right)}}

  ___ /         1      \  t
\/ 2 *|1 + ------------|*e 
      |       2/t   pi\|   
      |    cot |- + --||   
      \        \2   8 //   
---------------------------
               1           
      1 - ------------     
             2/t   pi\     
          cot |- + --|     
              \2   8 /

\frac{\sqrt{2} \left(1 + \frac{1}{\cot^{2}{\left(\frac{t}{2} + \frac{\pi}{8} \right)}}\right) e^{t}}{1 - \frac{1}{\cot^{2}{\left(\frac{t}{2} + \frac{\pi}{8} \right)}}}

  ___    2/t   pi\  t
\/ 2 *csc |- + --|*e 
          \2   8 /   
---------------------
          2/t   pi\  
       csc |- + --|  
           \2   8 /  
-1 + ----------------
        2/  t   3*pi\
     csc |- - + ----|
         \  2    8  /

\frac{\sqrt{2} e^{t} \csc^{2}{\left(\frac{t}{2} + \frac{\pi}{8} \right)}}{-1 + \frac{\csc^{2}{\left(\frac{t}{2} + \frac{\pi}{8} \right)}}{\csc^{2}{\left(- \frac{t}{2} + \frac{3 \pi}{8} \right)}}}

      ___                        
   -\/ 2 *(cosh(t) + sinh(t))    
---------------------------------
/         1      \    2/t   3*pi\
|1 - ------------|*cos |- - ----|
|       2/t   pi\|     \2    8  /
|    tan |- + --||               
\        \2   8 //

- \frac{\sqrt{2} \left(\sinh{\left(t \right)} + \cosh{\left(t \right)}\right)}{\left(1 - \frac{1}{\tan^{2}{\left(\frac{t}{2} + \frac{\pi}{8} \right)}}\right) \cos^{2}{\left(\frac{t}{2} - \frac{3 \pi}{8} \right)}}

                           2      
     ___ /       2/t   pi\\   t   
   \/ 2 *|1 + tan |- + --|| *e    
         \        \4   16//       
----------------------------------
  /          1      \    2/t   pi\
4*|-1 + ------------|*tan |- + --|
  |        2/t   pi\|     \4   16/
  |     tan |- + --||             
  \         \2   8 //

\frac{\sqrt{2} \left(\tan^{2}{\left(\frac{t}{4} + \frac{\pi}{16} \right)} + 1\right)^{2} e^{t}}{4 \left(-1 + \frac{1}{\tan^{2}{\left(\frac{t}{2} + \frac{\pi}{8} \right)}}\right) \tan^{2}{\left(\frac{t}{4} + \frac{\pi}{16} \right)}}

  ___    /     pi\  t
\/ 2 *csc|-t + --|*e 
         \     4 /

\sqrt{2} e^{t} \csc{\left(- t + \frac{\pi}{4} \right)}

sqrt(2)*csc(-t + pi/4)*exp(t)

Denominador racional [src]

    ___  t 
  \/ 2 *e  
-----------
   /    pi\
cos|t + --|
   \    4 /

\frac{\sqrt{2} e^{t}}{\cos{\left(t + \frac{\pi}{4} \right)}}

sqrt(2)*exp(t)/cos(t + pi/4)

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

Expresiones con funciones

¿Cómo vas a descomponer esta exp^(t)*sqrt(2)*cos(t+(pi/4))/(cos(t+(pi/4)))^2 expresión en fracciones?

Solución

¿Cómo vas a descomponer esta exp^(t)sqrt(2)cos(t+(pi/4))/(cos(t+(pi/4)))^2 expresión en fracciones?