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1/(3,94436∙〖10〗^(-7))
((3*c+1)/(c-1)+c)/(c+1)
-1/(5*x^5)
(49*b/a-25*a/b)/(7*a+5*b)
Factorizar el polinomio:
y^4-25
y^5-y^3-y+1
y^5+y+1
-y^3+y^2-1
Descomponer al cuadrado:
-y^4-8*y^2-8
-y^4+9*y^2-3
-y^4+8*y^2+4
-y^4-8*y^2-3
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tg(2a)cos(2a)/(1-ctg^2(2a))
Expresiones con funciones
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tg2α*ctg2α-(1-sin^2*5α)/(cos^2*5α-1)
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Coseno cos
cos(10*a)/(sin(5*a)-cos(5*a))
cos(x)*(-sin(x)-(cos(x)*sin(x)))/sqrt(1+cos(x)^(2))/(cos(x)+sqrt(1+cos(x)^(2)))
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cos(x)/(x+1)^3-3*sin(x)/(x+1)^4
cos(x)/(cos(x)+1)+sin(x)^2/(cos(x)+1)^2

Simplificación de expresiones/ Descomposición en fracciones simples/ tg(2a)cos(2a)/(1+ctg^2(2a))

¿Cómo vas a descomponer esta tg(2a)cos(2a)/(1+ctg^2(2a)) expresión en fracciones?

Solución

Ha introducido [src]

tan(2*a)*cos(2*a)
-----------------
         2       
  1 + cot (2*a)

\frac{\cos{\left(2 a \right)} \tan{\left(2 a \right)}}{\cot^{2}{\left(2 a \right)} + 1}

(tan(2*a)*cos(2*a))/(1 + cot(2*a)^2)

Simplificación general [src]

     3       3   
8*cos (a)*sin (a)

8 \sin^{3}{\left(a \right)} \cos^{3}{\left(a \right)}

8*cos(a)^3*sin(a)^3

Respuesta numérica [src]

cos(2*a)*tan(2*a)/(1.0 + cot(2*a)^2)

cos(2*a)*tan(2*a)/(1.0 + cot(2*a)^2)

Potencias [src]

  / -2*I*a    2*I*a\                     
  |e         e     | /   2*I*a    -2*I*a\
I*|------- + ------|*\- e      + e      /
  \   2        2   /                     
-----------------------------------------
    /       2     \ / -2*I*a    2*I*a\   
    \1 + cot (2*a)/*\e       + e     /

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

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

Abrimos la expresión [src]

                                                                                                 2                                 
                              2*tan(a)                                                      4*cos (a)*tan(a)                       
- --------------------------------------------------------------- + ---------------------------------------------------------------
         2                     2          2          2       2             2                     2          2          2       2   
  1   tan (a)       1       cot (a)    tan (a)    cot (a)*tan (a)   1   tan (a)       1       cot (a)    tan (a)    cot (a)*tan (a)
  - - ------- + --------- + ------- - --------- - ---------------   - - ------- + --------- + ------- - --------- - ---------------
  2      2           2         4           2             4          2      2           2         4           2             4       
                4*cot (a)             4*cot (a)                                   4*cot (a)             4*cot (a)

\frac{4 \cos^{2}{\left(a \right)} \tan{\left(a \right)}}{- \frac{\tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)}}{4} - \frac{\tan^{2}{\left(a \right)}}{2} - \frac{\tan^{2}{\left(a \right)}}{4 \cot^{2}{\left(a \right)}} + \frac{\cot^{2}{\left(a \right)}}{4} + \frac{1}{2} + \frac{1}{4 \cot^{2}{\left(a \right)}}} - \frac{2 \tan{\left(a \right)}}{- \frac{\tan^{2}{\left(a \right)} \cot^{2}{\left(a \right)}}{4} - \frac{\tan^{2}{\left(a \right)}}{2} - \frac{\tan^{2}{\left(a \right)}}{4 \cot^{2}{\left(a \right)}} + \frac{\cot^{2}{\left(a \right)}}{4} + \frac{1}{2} + \frac{1}{4 \cot^{2}{\left(a \right)}}}

-2*tan(a)/(1/2 - tan(a)^2/2 + 1/(4*cot(a)^2) + cot(a)^2/4 - tan(a)^2/(4*cot(a)^2) - cot(a)^2*tan(a)^2/4) + 4*cos(a)^2*tan(a)/(1/2 - tan(a)^2/2 + 1/(4*cot(a)^2) + cot(a)^2/4 - tan(a)^2/(4*cot(a)^2) - cot(a)^2*tan(a)^2/4)

Parte trigonométrica [src]

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

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

               2                               
  /       2/a\\     2    /       2   \         
4*|1 - tan |-|| *tan (a)*\1 - tan (a)/*tan(2*a)
  \        \2//                                
-----------------------------------------------
                      2              2         
         /       2   \  /       2/a\\          
         \1 + tan (a)/ *|1 + tan |-||          
                        \        \2//

\frac{4 \left(1 - \tan^{2}{\left(\frac{a}{2} \right)}\right)^{2} \left(1 - \tan^{2}{\left(a \right)}\right) \tan^{2}{\left(a \right)} \tan{\left(2 a \right)}}{\left(\tan^{2}{\left(\frac{a}{2} \right)} + 1\right)^{2} \left(\tan^{2}{\left(a \right)} + 1\right)^{2}}

   2    /        1   \
sin (a)*|-1 + -------|
        |        2   |
        \     tan (a)/
----------------------
              3       
  cos(2*a)*csc (2*a)

\frac{\left(-1 + \frac{1}{\tan^{2}{\left(a \right)}}\right) \sin^{2}{\left(a \right)}}{\cos{\left(2 a \right)} \csc^{3}{\left(2 a \right)}}

       3      
  8*cot (a)   
--------------
             3
/       2   \ 
\1 + cot (a)/

\frac{8 \cot^{3}{\left(a \right)}}{\left(\cot^{2}{\left(a \right)} + 1\right)^{3}}

                         /         4   \
     4         2/    pi\ |    4*sin (a)|
2*sin (2*a)*sin |a + --|*|1 - ---------|
                \    2 / |       2     |
                         \    sin (2*a)/
----------------------------------------
                sin(4*a)

\frac{2 \left(- \frac{4 \sin^{4}{\left(a \right)}}{\sin^{2}{\left(2 a \right)}} + 1\right) \sin^{4}{\left(2 a \right)} \sin^{2}{\left(a + \frac{\pi}{2} \right)}}{\sin{\left(4 a \right)}}

      1       
--------------
   3/      pi\
sec |2*a - --|
    \      2 /

\frac{1}{\sec^{3}{\left(2 a - \frac{\pi}{2} \right)}}

         8          
--------------------
   3       3/pi    \
csc (a)*csc |-- - a|
            \2     /

\frac{8}{\csc^{3}{\left(a \right)} \csc^{3}{\left(- a + \frac{\pi}{2} \right)}}

     6       3   
8*cos (a)*tan (a)

8 \cos^{6}{\left(a \right)} \tan^{3}{\left(a \right)}

     2       4      /       2   \
2*cos (a)*sin (2*a)*\1 - tan (a)/
---------------------------------
             sin(4*a)

\frac{2 \left(1 - \tan^{2}{\left(a \right)}\right) \sin^{4}{\left(2 a \right)} \cos^{2}{\left(a \right)}}{\sin{\left(4 a \right)}}

                    /        2     \
     2       4      |     sin (2*a)|
2*sin (a)*sin (2*a)*|-1 + ---------|
                    |          4   |
                    \     4*sin (a)/
------------------------------------
              sin(4*a)

\frac{2 \left(-1 + \frac{\sin^{2}{\left(2 a \right)}}{4 \sin^{4}{\left(a \right)}}\right) \sin^{2}{\left(a \right)} \sin^{4}{\left(2 a \right)}}{\sin{\left(4 a \right)}}

   2    /       2   \
cos (a)*\1 - tan (a)/
---------------------
              3      
  cos(2*a)*csc (2*a)

\frac{\left(1 - \tan^{2}{\left(a \right)}\right) \cos^{2}{\left(a \right)}}{\cos{\left(2 a \right)} \csc^{3}{\left(2 a \right)}}

/         2      \         
|      sec (a)   |         
|1 - ------------|*sec(2*a)
|       2/    pi\|         
|    sec |a - --||         
\        \    2 //         
---------------------------
      2       3/      pi\  
   sec (a)*sec |2*a - --|  
               \      2 /

\frac{\left(- \frac{\sec^{2}{\left(a \right)}}{\sec^{2}{\left(a - \frac{\pi}{2} \right)}} + 1\right) \sec{\left(2 a \right)}}{\sec^{2}{\left(a \right)} \sec^{3}{\left(2 a - \frac{\pi}{2} \right)}}

   2       3      /        1   \         
sin (a)*sin (2*a)*|-1 + -------|*sec(2*a)
                  |        2   |         
                  \     tan (a)/

\left(-1 + \frac{1}{\tan^{2}{\left(a \right)}}\right) \sin^{2}{\left(a \right)} \sin^{3}{\left(2 a \right)} \sec{\left(2 a \right)}

    1    
---------
   3     
csc (2*a)

\frac{1}{\csc^{3}{\left(2 a \right)}}

        2       2/a\ /        2   \   
  16*cot (a)*cot |-|*\-1 + cot (a)/   
                 \2/                  
--------------------------------------
             2              2         
/       2   \  /       2/a\\          
\1 + cot (a)/ *|1 + cot |-|| *cot(2*a)
               \        \2//

\frac{16 \left(\cot^{2}{\left(a \right)} - 1\right) \cot^{2}{\left(\frac{a}{2} \right)} \cot^{2}{\left(a \right)}}{\left(\cot^{2}{\left(\frac{a}{2} \right)} + 1\right)^{2} \left(\cot^{2}{\left(a \right)} + 1\right)^{2} \cot{\left(2 a \right)}}

      2       2/a\ /        1   \         
16*tan (a)*tan |-|*|-1 + -------|*tan(2*a)
               \2/ |        2   |         
                   \     tan (a)/         
------------------------------------------
                   2              2       
      /       2   \  /       2/a\\        
      \1 + tan (a)/ *|1 + tan |-||        
                     \        \2//

\frac{16 \left(-1 + \frac{1}{\tan^{2}{\left(a \right)}}\right) \tan^{2}{\left(\frac{a}{2} \right)} \tan^{2}{\left(a \right)} \tan{\left(2 a \right)}}{\left(\tan^{2}{\left(\frac{a}{2} \right)} + 1\right)^{2} \left(\tan^{2}{\left(a \right)} + 1\right)^{2}}

                 3        
   /        2/a\\     3/a\
64*|-1 + cot |-|| *cot |-|
   \         \2//      \2/
--------------------------
                   6      
      /       2/a\\       
      |1 + cot |-||       
      \        \2//

\frac{64 \left(\cot^{2}{\left(\frac{a}{2} \right)} - 1\right)^{3} \cot^{3}{\left(\frac{a}{2} \right)}}{\left(\cot^{2}{\left(\frac{a}{2} \right)} + 1\right)^{6}}

   3      /   2         2   \
sin (2*a)*\cos (a) - sin (a)/
-----------------------------
           cos(2*a)

\frac{\left(- \sin^{2}{\left(a \right)} + \cos^{2}{\left(a \right)}\right) \sin^{3}{\left(2 a \right)}}{\cos{\left(2 a \right)}}

   2       3      /       2   \         
cos (a)*sin (2*a)*\1 - tan (a)/*sec(2*a)

\left(1 - \tan^{2}{\left(a \right)}\right) \sin^{3}{\left(2 a \right)} \cos^{2}{\left(a \right)} \sec{\left(2 a \right)}

/       2/pi    \\              
|    csc |-- - a||              
|        \2     /|    /pi      \
|1 - ------------|*csc|-- - 2*a|
|         2      |    \2       /
\      csc (a)   /              
--------------------------------
        3         2/pi    \     
     csc (2*a)*csc |-- - a|     
                   \2     /

\frac{\left(1 - \frac{\csc^{2}{\left(- a + \frac{\pi}{2} \right)}}{\csc^{2}{\left(a \right)}}\right) \csc{\left(- 2 a + \frac{\pi}{2} \right)}}{\csc^{3}{\left(2 a \right)} \csc^{2}{\left(- a + \frac{\pi}{2} \right)}}

                3                 
   /       2/a\\     12/a\    3/a\
64*|1 - tan |-|| *cos  |-|*tan |-|
   \        \2//       \2/     \2/

64 \left(1 - \tan^{2}{\left(\frac{a}{2} \right)}\right)^{3} \cos^{12}{\left(\frac{a}{2} \right)} \tan^{3}{\left(\frac{a}{2} \right)}

   3/      pi\
cos |2*a - --|
    \      2 /

\cos^{3}{\left(2 a - \frac{\pi}{2} \right)}

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

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

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

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

   2       2      /       2   \         
cos (a)*sin (2*a)*\1 - tan (a)/*tan(2*a)

\left(1 - \tan^{2}{\left(a \right)}\right) \sin^{2}{\left(2 a \right)} \cos^{2}{\left(a \right)} \tan{\left(2 a \right)}

                 3                 
   /        2/a\\     3/a\    12/a\
64*|-1 + cot |-|| *cot |-|*sin  |-|
   \         \2//      \2/      \2/

64 \left(\cot^{2}{\left(\frac{a}{2} \right)} - 1\right)^{3} \sin^{12}{\left(\frac{a}{2} \right)} \cot^{3}{\left(\frac{a}{2} \right)}

                2                                               
  /        2/a\\     2       4       4/a\ /       2   \         
4*|-1 + cot |-|| *cot (a)*sin (a)*sin |-|*\1 - tan (a)/*tan(2*a)
  \         \2//                      \2/

4 \left(1 - \tan^{2}{\left(a \right)}\right) \left(\cot^{2}{\left(\frac{a}{2} \right)} - 1\right)^{2} \sin^{4}{\left(\frac{a}{2} \right)} \sin^{4}{\left(a \right)} \tan{\left(2 a \right)} \cot^{2}{\left(a \right)}

       3      
  8*tan (a)   
--------------
             3
/       2   \ 
\1 + tan (a)/

\frac{8 \tan^{3}{\left(a \right)}}{\left(\tan^{2}{\left(a \right)} + 1\right)^{3}}

                3        
   /       2/a\\     3/a\
64*|1 - tan |-|| *tan |-|
   \        \2//      \2/
-------------------------
                   6     
      /       2/a\\      
      |1 + tan |-||      
      \        \2//

\frac{64 \left(1 - \tan^{2}{\left(\frac{a}{2} \right)}\right)^{3} \tan^{3}{\left(\frac{a}{2} \right)}}{\left(\tan^{2}{\left(\frac{a}{2} \right)} + 1\right)^{6}}

   2       3      /        1   \
sin (a)*sin (2*a)*|-1 + -------|
                  |        2   |
                  \     tan (a)/
--------------------------------
            cos(2*a)

\frac{\left(-1 + \frac{1}{\tan^{2}{\left(a \right)}}\right) \sin^{2}{\left(a \right)} \sin^{3}{\left(2 a \right)}}{\cos{\left(2 a \right)}}

           1            
------------------------
/       2     \         
|    csc (2*a)|         
|1 + ---------|*csc(2*a)
|       2     |         
\    sec (2*a)/

\frac{1}{\left(\frac{\csc^{2}{\left(2 a \right)}}{\sec^{2}{\left(2 a \right)}} + 1\right) \csc{\left(2 a \right)}}

/          2      \              
|       csc (a)   |    /pi      \
|-1 + ------------|*csc|-- - 2*a|
|        2/pi    \|    \2       /
|     csc |-- - a||              
\         \2     //              
---------------------------------
           2       3             
        csc (a)*csc (2*a)

\frac{\left(\frac{\csc^{2}{\left(a \right)}}{\csc^{2}{\left(- a + \frac{\pi}{2} \right)}} - 1\right) \csc{\left(- 2 a + \frac{\pi}{2} \right)}}{\csc^{2}{\left(a \right)} \csc^{3}{\left(2 a \right)}}

                     2                
             -1 + cot (a)             
--------------------------------------
/       2   \ /       2     \         
\1 + cot (a)/*\1 + cot (2*a)/*cot(2*a)

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

          /     2            \
   3      |  sin (a)         |
sin (2*a)*|- ------- + cos(a)|
          \   cos(a)         /
------------------------------
           cos(2*a)

\frac{\left(- \frac{\sin^{2}{\left(a \right)}}{\cos{\left(a \right)}} + \cos{\left(a \right)}\right) \sin^{3}{\left(2 a \right)}}{\cos{\left(2 a \right)}}

     2         /pi      \ 
2*sin (2*a)*sin|-- + 2*a| 
               \2       / 
--------------------------
/        2      \         
|     sin (4*a) |         
|1 + -----------|*sin(4*a)
|         4     |         
\    4*sin (2*a)/

\frac{2 \sin^{2}{\left(2 a \right)} \sin{\left(2 a + \frac{\pi}{2} \right)}}{\left(1 + \frac{\sin^{2}{\left(4 a \right)}}{4 \sin^{4}{\left(2 a \right)}}\right) \sin{\left(4 a \right)}}

     3       3/    pi\
8*sin (a)*sin |a + --|
              \    2 /

8 \sin^{3}{\left(a \right)} \sin^{3}{\left(a + \frac{\pi}{2} \right)}

                            /          2      \
   2/    pi\    3/      pi\ |       cos (a)   |
cos |a - --|*cos |2*a - --|*|-1 + ------------|
    \    2 /     \      2 / |        2/    pi\|
                            |     cos |a - --||
                            \         \    2 //
-----------------------------------------------
                    cos(2*a)

\frac{\left(\frac{\cos^{2}{\left(a \right)}}{\cos^{2}{\left(a - \frac{\pi}{2} \right)}} - 1\right) \cos^{2}{\left(a - \frac{\pi}{2} \right)} \cos^{3}{\left(2 a - \frac{\pi}{2} \right)}}{\cos{\left(2 a \right)}}

                       /       2/    pi\\
                       |    cos |a - --||
   2       3/      pi\ |        \    2 /|
cos (a)*cos |2*a - --|*|1 - ------------|
            \      2 / |         2      |
                       \      cos (a)   /
-----------------------------------------
                 cos(2*a)

\frac{\left(1 - \frac{\cos^{2}{\left(a - \frac{\pi}{2} \right)}}{\cos^{2}{\left(a \right)}}\right) \cos^{2}{\left(a \right)} \cos^{3}{\left(2 a - \frac{\pi}{2} \right)}}{\cos{\left(2 a \right)}}

                2                      
  /        2/a\\     2    /       1   \
4*|-1 + cot |-|| *cot (a)*|1 - -------|
  \         \2//          |       2   |
                          \    cot (a)/
---------------------------------------
              2              2         
 /       2   \  /       2/a\\          
 \1 + cot (a)/ *|1 + cot |-|| *cot(2*a)
                \        \2//

\frac{4 \left(1 - \frac{1}{\cot^{2}{\left(a \right)}}\right) \left(\cot^{2}{\left(\frac{a}{2} \right)} - 1\right)^{2} \cot^{2}{\left(a \right)}}{\left(\cot^{2}{\left(\frac{a}{2} \right)} + 1\right)^{2} \left(\cot^{2}{\left(a \right)} + 1\right)^{2} \cot{\left(2 a \right)}}

         8          
--------------------
   3       3/    pi\
sec (a)*sec |a - --|
            \    2 /

\frac{8}{\sec^{3}{\left(a \right)} \sec^{3}{\left(a - \frac{\pi}{2} \right)}}

               2                                               
  /       2/a\\     4       4/a\    2    /       2   \         
4*|1 - tan |-|| *cos (a)*cos |-|*tan (a)*\1 - tan (a)/*tan(2*a)
  \        \2//              \2/

4 \left(1 - \tan^{2}{\left(\frac{a}{2} \right)}\right)^{2} \left(1 - \tan^{2}{\left(a \right)}\right) \cos^{4}{\left(\frac{a}{2} \right)} \cos^{4}{\left(a \right)} \tan^{2}{\left(a \right)} \tan{\left(2 a \right)}

     3       6   
8*cot (a)*sin (a)

8 \sin^{6}{\left(a \right)} \cot^{3}{\left(a \right)}

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

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

     2       4      /        1   \
2*sin (a)*sin (2*a)*|-1 + -------|
                    |        2   |
                    \     tan (a)/
----------------------------------
             sin(4*a)

\frac{2 \left(-1 + \frac{1}{\tan^{2}{\left(a \right)}}\right) \sin^{2}{\left(a \right)} \sin^{4}{\left(2 a \right)}}{\sin{\left(4 a \right)}}

   2       2      /        2   \         
sin (a)*sin (2*a)*\-1 + cot (a)/*tan(2*a)

\left(\cot^{2}{\left(a \right)} - 1\right) \sin^{2}{\left(a \right)} \sin^{2}{\left(2 a \right)} \tan{\left(2 a \right)}

     3       3   
8*cos (a)*sin (a)

8 \sin^{3}{\left(a \right)} \cos^{3}{\left(a \right)}

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

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

   3     
sin (2*a)

\sin^{3}{\left(2 a \right)}

   2       3      /       2   \
cos (a)*sin (2*a)*\1 - tan (a)/
-------------------------------
            cos(2*a)

\frac{\left(1 - \tan^{2}{\left(a \right)}\right) \sin^{3}{\left(2 a \right)} \cos^{2}{\left(a \right)}}{\cos{\left(2 a \right)}}

        2                 
   2*sin (2*a)*cos(2*a)   
--------------------------
/        2      \         
|     sin (4*a) |         
|1 + -----------|*sin(4*a)
|         4     |         
\    4*sin (2*a)/

\frac{2 \sin^{2}{\left(2 a \right)} \cos{\left(2 a \right)}}{\left(1 + \frac{\sin^{2}{\left(4 a \right)}}{4 \sin^{4}{\left(2 a \right)}}\right) \sin{\left(4 a \right)}}

     3       3/    pi\
8*cos (a)*cos |a - --|
              \    2 /

8 \cos^{3}{\left(a \right)} \cos^{3}{\left(a - \frac{\pi}{2} \right)}

/        2/    pi\\         
|     sec |a - --||         
|         \    2 /|         
|-1 + ------------|*sec(2*a)
|          2      |         
\       sec (a)   /         
----------------------------
   2/    pi\    3/      pi\ 
sec |a - --|*sec |2*a - --| 
    \    2 /     \      2 /

\frac{\left(-1 + \frac{\sec^{2}{\left(a - \frac{\pi}{2} \right)}}{\sec^{2}{\left(a \right)}}\right) \sec{\left(2 a \right)}}{\sec^{2}{\left(a - \frac{\pi}{2} \right)} \sec^{3}{\left(2 a - \frac{\pi}{2} \right)}}

(-1 + sec(a - pi/2)^2/sec(a)^2)*sec(2*a)/(sec(a - pi/2)^2*sec(2*a - pi/2)^3)

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¿Cómo vas a descomponer esta tg(2a)cos(2a)/(1+ctg^2(2a)) expresión en fracciones?

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