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Simplificación de expresiones/ Descomposición en fracciones simples/ tan(a)*cos(a)/((sin(2)*a))

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

Expresión a simplificar:

Solución

Ha introducido [src] 
tan(a)*cos(a)
-------------
   sin(2)*a
cos⁡(a)tan⁡(a)asin⁡(2)\frac{\cos{\left(a \right)} \tan{\left(a \right)}}{a \sin{\left(2 \right)}} 
(tan(a)*cos(a))/((sin(2)*a))
Simplificación general [src] 
 sin(a) 
--------
a*sin(2)
sin⁡(a)asin⁡(2)\frac{\sin{\left(a \right)}}{a \sin{\left(2 \right)}} 
sin(a)/(a*sin(2))
Respuesta numérica [src] 
1.09975017029462*cos(a)*tan(a)/a
1.09975017029462*cos(a)*tan(a)/a
Abrimos la expresión [src] 
  cos(a)*tan(a)  
-----------------
2*a*cos(1)*sin(1)
cos⁡(a)tan⁡(a)2asin⁡(1)cos⁡(1)\frac{\cos{\left(a \right)} \tan{\left(a \right)}}{2 a \sin{\left(1 \right)} \cos{\left(1 \right)}} 
cos(a)*tan(a)/(2*a*cos(1)*sin(1))
Potencias [src] 
   / I*a    -I*a\                 
   |e      e    | /   I*a    -I*a\
-2*|---- + -----|*\- e    + e    /
   \ 2       2  /                 
----------------------------------
  /   -2*I    2*I\ / I*a    -I*a\ 
a*\- e     + e   /*\e    + e    /
−2(−eia+e−ia)(eia2+e−ia2)a(e2i−e−2i)(eia+e−ia)- \frac{2 \left(- e^{i a} + e^{- i a}\right) \left(\frac{e^{i a}}{2} + \frac{e^{- i a}}{2}\right)}{a \left(e^{2 i} - e^{- 2 i}\right) \left(e^{i a} + e^{- i a}\right)} 
-2*(exp(i*a)/2 + exp(-i*a)/2)*(-exp(i*a) + exp(-i*a))/(a*(-exp(-2*i) + exp(2*i))*(exp(i*a) + exp(-i*a)))
Parte trigonométrica [src] 
 /       2   \    /a\ 
 \1 + cot (1)/*cot|-| 
                  \2/ 
----------------------
  /       2/a\\       
a*|1 + cot |-||*cot(1)
  \        \2//
(cot⁡2(1)+1)cot⁡(a2)a(cot⁡2(a2)+1)cot⁡(1)\frac{\left(\cot^{2}{\left(1 \right)} + 1\right) \cot{\left(\frac{a}{2} \right)}}{a \left(\cot^{2}{\left(\frac{a}{2} \right)} + 1\right) \cot{\left(1 \right)}} 
     2       /    pi\
2*sin (a)*sin|a + --|
             \    2 /
---------------------
  a*sin(2)*sin(2*a)
2sin⁡2(a)sin⁡(a+π2)asin⁡(2)sin⁡(2a)\frac{2 \sin^{2}{\left(a \right)} \sin{\left(a + \frac{\pi}{2} \right)}}{a \sin{\left(2 \right)} \sin{\left(2 a \right)}} 
   2/a\ /       2   \ /       2/a\\       
cos |-|*\1 + tan (1)/*|1 - tan |-||*tan(a)
    \2/               \        \2//       
------------------------------------------
                2*a*tan(1)
(1+tan⁡2(1))(1−tan⁡2(a2))cos⁡2(a2)tan⁡(a)2atan⁡(1)\frac{\left(1 + \tan^{2}{\left(1 \right)}\right) \left(1 - \tan^{2}{\left(\frac{a}{2} \right)}\right) \cos^{2}{\left(\frac{a}{2} \right)} \tan{\left(a \right)}}{2 a \tan{\left(1 \right)}} 
                     /         4/a\\                       
                     |    4*sin |-|| /         4   \       
   2       2/pi   a\ |          \2/| |    4*sin (1)|       
sin (a)*sin |-- + -|*|1 - ---------|*|1 + ---------|*sin(2)
            \2    2/ |        2    | |        2    |       
                     \     sin (a) / \     sin (2) /       
-----------------------------------------------------------
                           2                               
                    2*a*sin (1)*sin(2*a)
(1+4sin⁡4(1)sin⁡2(2))(−4sin⁡4(a2)sin⁡2(a)+1)sin⁡(2)sin⁡2(a)sin⁡2(a2+π2)2asin⁡2(1)sin⁡(2a)\frac{\left(1 + \frac{4 \sin^{4}{\left(1 \right)}}{\sin^{2}{\left(2 \right)}}\right) \left(- \frac{4 \sin^{4}{\left(\frac{a}{2} \right)}}{\sin^{2}{\left(a \right)}} + 1\right) \sin{\left(2 \right)} \sin^{2}{\left(a \right)} \sin^{2}{\left(\frac{a}{2} + \frac{\pi}{2} \right)}}{2 a \sin^{2}{\left(1 \right)} \sin{\left(2 a \right)}} 
/       2   \ /       2/a\\       
\1 + tan (1)/*|1 - tan |-||*tan(a)
              \        \2//       
----------------------------------
         /       2/a\\            
     2*a*|1 + tan |-||*tan(1)     
         \        \2//
(1+tan⁡2(1))(1−tan⁡2(a2))tan⁡(a)2a(tan⁡2(a2)+1)tan⁡(1)\frac{\left(1 + \tan^{2}{\left(1 \right)}\right) \left(1 - \tan^{2}{\left(\frac{a}{2} \right)}\right) \tan{\left(a \right)}}{2 a \left(\tan^{2}{\left(\frac{a}{2} \right)} + 1\right) \tan{\left(1 \right)}} 
    /     pi\
 sec|-2 + --|
    \     2 /
-------------
     /    pi\
a*sec|a - --|
     \    2 /
sec⁡(−2+π2)asec⁡(a−π2)\frac{\sec{\left(-2 + \frac{\pi}{2} \right)}}{a \sec{\left(a - \frac{\pi}{2} \right)}} 
   2/a\    4/a\    2      /        2/a\\              
cot |-|*sin |-|*tan (1/2)*|-1 + cot |-||*tan(1)*tan(a)
    \4/     \4/           \         \2//              
------------------------------------------------------
                           4                          
                    2*a*sin (1/2)
(cot⁡2(a2)−1)sin⁡4(a4)tan⁡2(12)tan⁡(1)tan⁡(a)cot⁡2(a4)2asin⁡4(12)\frac{\left(\cot^{2}{\left(\frac{a}{2} \right)} - 1\right) \sin^{4}{\left(\frac{a}{4} \right)} \tan^{2}{\left(\frac{1}{2} \right)} \tan{\left(1 \right)} \tan{\left(a \right)} \cot^{2}{\left(\frac{a}{4} \right)}}{2 a \sin^{4}{\left(\frac{1}{2} \right)}} 
           2/a\              
       -sin |-|*sin(a)       
            \2/              
-----------------------------
a*(-1 + cos(a))*cos(1)*sin(1)
−sin⁡2(a2)sin⁡(a)a(cos⁡(a)−1)sin⁡(1)cos⁡(1)- \frac{\sin^{2}{\left(\frac{a}{2} \right)} \sin{\left(a \right)}}{a \left(\cos{\left(a \right)} - 1\right) \sin{\left(1 \right)} \cos{\left(1 \right)}} 
    /    pi\ 
 cos|a - --| 
    \    2 / 
-------------
     /    pi\
a*cos|2 - --|
     \    2 /
cos⁡(a−π2)acos⁡(2−π2)\frac{\cos{\left(a - \frac{\pi}{2} \right)}}{a \cos{\left(2 - \frac{\pi}{2} \right)}} 
 csc(2) 
--------
a*csc(a)
csc⁡(2)acsc⁡(a)\frac{\csc{\left(2 \right)}}{a \csc{\left(a \right)}} 
   2/a\ /        2/a\\              
sin |-|*|-1 + cot |-||*tan(1)*tan(a)
    \2/ \         \2//              
------------------------------------
                   2                
            2*a*sin (1)
(cot⁡2(a2)−1)sin⁡2(a2)tan⁡(1)tan⁡(a)2asin⁡2(1)\frac{\left(\cot^{2}{\left(\frac{a}{2} \right)} - 1\right) \sin^{2}{\left(\frac{a}{2} \right)} \tan{\left(1 \right)} \tan{\left(a \right)}}{2 a \sin^{2}{\left(1 \right)}} 
   2/a\ /        1   \              
sin |-|*|-1 + -------|*csc(1)*sin(a)
    \2/ |        2/a\|              
        |     tan |-||              
        \         \2//              
------------------------------------
         2*a*cos(1)*cos(a)
(−1+1tan⁡2(a2))sin⁡2(a2)sin⁡(a)csc⁡(1)2acos⁡(1)cos⁡(a)\frac{\left(-1 + \frac{1}{\tan^{2}{\left(\frac{a}{2} \right)}}\right) \sin^{2}{\left(\frac{a}{2} \right)} \sin{\left(a \right)} \csc{\left(1 \right)}}{2 a \cos{\left(1 \right)} \cos{\left(a \right)}} 
                2                         
 /       2     \     2/a\ /        2/a\\  
 \1 + cot (1/2)/ *cot |-|*|-1 + cot |-||  
                      \4/ \         \2//  
------------------------------------------
                 2                        
    /       2/a\\            2            
2*a*|1 + cot |-|| *cot(1)*cot (1/2)*cot(a)
    \        \4//
(1+cot⁡2(12))2(cot⁡2(a2)−1)cot⁡2(a4)2a(cot⁡2(a4)+1)2cot⁡2(12)cot⁡(1)cot⁡(a)\frac{\left(1 + \cot^{2}{\left(\frac{1}{2} \right)}\right)^{2} \left(\cot^{2}{\left(\frac{a}{2} \right)} - 1\right) \cot^{2}{\left(\frac{a}{4} \right)}}{2 a \left(\cot^{2}{\left(\frac{a}{4} \right)} + 1\right)^{2} \cot^{2}{\left(\frac{1}{2} \right)} \cot{\left(1 \right)} \cot{\left(a \right)}} 
               2                                     
/       2     \     2/a\ /        1   \              
\1 + tan (1/2)/ *tan |-|*|-1 + -------|*tan(1)*tan(a)
                     \4/ |        2/a\|              
                         |     tan |-||              
                         \         \2//              
-----------------------------------------------------
                              2                      
                 /       2/a\\     2                 
             2*a*|1 + tan |-|| *tan (1/2)            
                 \        \4//
(−1+1tan⁡2(a2))(tan⁡2(12)+1)2tan⁡(1)tan⁡2(a4)tan⁡(a)2a(tan⁡2(a4)+1)2tan⁡2(12)\frac{\left(-1 + \frac{1}{\tan^{2}{\left(\frac{a}{2} \right)}}\right) \left(\tan^{2}{\left(\frac{1}{2} \right)} + 1\right)^{2} \tan{\left(1 \right)} \tan^{2}{\left(\frac{a}{4} \right)} \tan{\left(a \right)}}{2 a \left(\tan^{2}{\left(\frac{a}{4} \right)} + 1\right)^{2} \tan^{2}{\left(\frac{1}{2} \right)}} 
             2                                   
/       2/a\\  /       2   \ /       2/a\\       
|1 - tan |-|| *\1 + tan (1)/*|1 - tan |-||*tan(a)
\        \4//                \        \2//       
-------------------------------------------------
                             2                   
                /       2/a\\                    
            2*a*|1 + tan |-|| *tan(1)            
                \        \4//
(1+tan⁡2(1))(1−tan⁡2(a4))2(1−tan⁡2(a2))tan⁡(a)2a(tan⁡2(a4)+1)2tan⁡(1)\frac{\left(1 + \tan^{2}{\left(1 \right)}\right) \left(1 - \tan^{2}{\left(\frac{a}{4} \right)}\right)^{2} \left(1 - \tan^{2}{\left(\frac{a}{2} \right)}\right) \tan{\left(a \right)}}{2 a \left(\tan^{2}{\left(\frac{a}{4} \right)} + 1\right)^{2} \tan{\left(1 \right)}} 
              2                                   
/        2/a\\  /       1   \ /       1   \       
|-1 + cot |-|| *|1 + -------|*|1 - -------|*cot(1)
\         \4//  |       2   | |       2/a\|       
                \    cot (1)/ |    cot |-||       
                              \        \2//       
--------------------------------------------------
                             2                    
                /       2/a\\                     
            2*a*|1 + cot |-|| *cot(a)             
                \        \4//
(1+1cot⁡2(1))(1−1cot⁡2(a2))(cot⁡2(a4)−1)2cot⁡(1)2a(cot⁡2(a4)+1)2cot⁡(a)\frac{\left(1 + \frac{1}{\cot^{2}{\left(1 \right)}}\right) \left(1 - \frac{1}{\cot^{2}{\left(\frac{a}{2} \right)}}\right) \left(\cot^{2}{\left(\frac{a}{4} \right)} - 1\right)^{2} \cot{\left(1 \right)}}{2 a \left(\cot^{2}{\left(\frac{a}{4} \right)} + 1\right)^{2} \cot{\left(a \right)}} 
    /    pi\ 
 sec|2 - --| 
    \    2 / 
-------------
     /    pi\
a*sec|a - --|
     \    2 /
sec⁡(2−π2)asec⁡(a−π2)\frac{\sec{\left(2 - \frac{\pi}{2} \right)}}{a \sec{\left(a - \frac{\pi}{2} \right)}} 
 sin(a) 
--------
a*sin(2)
sin⁡(a)asin⁡(2)\frac{\sin{\left(a \right)}}{a \sin{\left(2 \right)}} 
                           3       
       2/a\             sin (a)    
- 4*sin |-|*tan(a) + --------------
        \2/                    2/a\
                     cos(a)*sin |-|
                                \2/
-----------------------------------
             4*a*sin(2)
−4sin⁡2(a2)tan⁡(a)+sin⁡3(a)sin⁡2(a2)cos⁡(a)4asin⁡(2)\frac{- 4 \sin^{2}{\left(\frac{a}{2} \right)} \tan{\left(a \right)} + \frac{\sin^{3}{\left(a \right)}}{\sin^{2}{\left(\frac{a}{2} \right)} \cos{\left(a \right)}}}{4 a \sin{\left(2 \right)}} 
/        2/a   pi\\                          
|     sec |- - --||                          
|         \2   2 /|                  /    pi\
|-1 + ------------|*sec(1)*sec(a)*sec|1 - --|
|          2/a\   |                  \    2 /
|       sec |-|   |                          
\           \2/   /                          
---------------------------------------------
                /    pi\    2/a   pi\        
         2*a*sec|a - --|*sec |- - --|        
                \    2 /     \2   2 /
(−1+sec⁡2(a2−π2)sec⁡2(a2))sec⁡(1)sec⁡(a)sec⁡(1−π2)2asec⁡2(a2−π2)sec⁡(a−π2)\frac{\left(-1 + \frac{\sec^{2}{\left(\frac{a}{2} - \frac{\pi}{2} \right)}}{\sec^{2}{\left(\frac{a}{2} \right)}}\right) \sec{\left(1 \right)} \sec{\left(a \right)} \sec{\left(1 - \frac{\pi}{2} \right)}}{2 a \sec^{2}{\left(\frac{a}{2} - \frac{\pi}{2} \right)} \sec{\left(a - \frac{\pi}{2} \right)}} 
   2/a\ /  1            \       
cos |-|*|------ + tan(1)|*sin(a)
    \2/ \tan(1)         /       
--------------------------------
         a*(1 + cos(a))
(1tan⁡(1)+tan⁡(1))sin⁡(a)cos⁡2(a2)a(cos⁡(a)+1)\frac{\left(\frac{1}{\tan{\left(1 \right)}} + \tan{\left(1 \right)}\right) \sin{\left(a \right)} \cos^{2}{\left(\frac{a}{2} \right)}}{a \left(\cos{\left(a \right)} + 1\right)} 
                   /         2/a\   \                   
/         2      \ |      sec |-|   |                   
|      sec (1)   | |          \2/   |           /    pi\
|1 + ------------|*|1 - ------------|*sec(a)*sec|1 - --|
|       2/    pi\| |       2/a   pi\|           \    2 /
|    sec |1 - --|| |    sec |- - --||                   
\        \    2 // \        \2   2 //                   
--------------------------------------------------------
                           2/a\    /    pi\             
             2*a*sec(1)*sec |-|*sec|a - --|             
                            \2/    \    2 /
(1+sec⁡2(1)sec⁡2(1−π2))(−sec⁡2(a2)sec⁡2(a2−π2)+1)sec⁡(a)sec⁡(1−π2)2asec⁡(1)sec⁡2(a2)sec⁡(a−π2)\frac{\left(1 + \frac{\sec^{2}{\left(1 \right)}}{\sec^{2}{\left(1 - \frac{\pi}{2} \right)}}\right) \left(- \frac{\sec^{2}{\left(\frac{a}{2} \right)}}{\sec^{2}{\left(\frac{a}{2} - \frac{\pi}{2} \right)}} + 1\right) \sec{\left(a \right)} \sec{\left(1 - \frac{\pi}{2} \right)}}{2 a \sec{\left(1 \right)} \sec^{2}{\left(\frac{a}{2} \right)} \sec{\left(a - \frac{\pi}{2} \right)}} 
                /         4/a\\                       
                |    4*sin |-|| /         4   \       
   2/a\    2    |          \2/| |    4*sin (1)|       
cos |-|*sin (a)*|1 - ---------|*|1 + ---------|*sin(2)
    \2/         |        2    | |        2    |       
                \     sin (a) / \     sin (2) /       
------------------------------------------------------
                        2                             
                 2*a*sin (1)*sin(2*a)
(1+4sin⁡4(1)sin⁡2(2))(−4sin⁡4(a2)sin⁡2(a)+1)sin⁡(2)sin⁡2(a)cos⁡2(a2)2asin⁡2(1)sin⁡(2a)\frac{\left(1 + \frac{4 \sin^{4}{\left(1 \right)}}{\sin^{2}{\left(2 \right)}}\right) \left(- \frac{4 \sin^{4}{\left(\frac{a}{2} \right)}}{\sin^{2}{\left(a \right)}} + 1\right) \sin{\left(2 \right)} \sin^{2}{\left(a \right)} \cos^{2}{\left(\frac{a}{2} \right)}}{2 a \sin^{2}{\left(1 \right)} \sin{\left(2 a \right)}} 
                  /         2    \
     2       2/a\ |      sin (a) |
2*sin (a)*sin |-|*|-1 + ---------|
              \2/ |          4/a\|
                  |     4*sin |-||
                  \           \2//
----------------------------------
        a*sin(2)*sin(2*a)
2(−1+sin⁡2(a)4sin⁡4(a2))sin⁡2(a2)sin⁡2(a)asin⁡(2)sin⁡(2a)\frac{2 \left(-1 + \frac{\sin^{2}{\left(a \right)}}{4 \sin^{4}{\left(\frac{a}{2} \right)}}\right) \sin^{2}{\left(\frac{a}{2} \right)} \sin^{2}{\left(a \right)}}{a \sin{\left(2 \right)} \sin{\left(2 a \right)}} 
      2          
 2*sin (a)*cos(a)
-----------------
a*sin(2)*sin(2*a)
2sin⁡2(a)cos⁡(a)asin⁡(2)sin⁡(2a)\frac{2 \sin^{2}{\left(a \right)} \cos{\left(a \right)}}{a \sin{\left(2 \right)} \sin{\left(2 a \right)}} 
/  1            \       
|------ + tan(1)|*sin(a)
\tan(1)         /       
------------------------
          2*a
(1tan⁡(1)+tan⁡(1))sin⁡(a)2a\frac{\left(\frac{1}{\tan{\left(1 \right)}} + \tan{\left(1 \right)}\right) \sin{\left(a \right)}}{2 a} 
/          2/a\   \                                
|       csc |-|   |                                
|           \2/   |           /     pi\    /pi    \
|-1 + ------------|*csc(1)*csc|-1 + --|*csc|-- - a|
|        2/pi   a\|           \     2 /    \2     /
|     csc |-- - -||                                
\         \2    2//                                
---------------------------------------------------
                               2/a\                
                 2*a*csc(a)*csc |-|                
                                \2/
(csc⁡2(a2)csc⁡2(−a2+π2)−1)csc⁡(1)csc⁡(−1+π2)csc⁡(−a+π2)2acsc⁡2(a2)csc⁡(a)\frac{\left(\frac{\csc^{2}{\left(\frac{a}{2} \right)}}{\csc^{2}{\left(- \frac{a}{2} + \frac{\pi}{2} \right)}} - 1\right) \csc{\left(1 \right)} \csc{\left(-1 + \frac{\pi}{2} \right)} \csc{\left(- a + \frac{\pi}{2} \right)}}{2 a \csc^{2}{\left(\frac{a}{2} \right)} \csc{\left(a \right)}} 
 /       2   \    /a\ 
 \1 + tan (1)/*tan|-| 
                  \2/ 
----------------------
  /       2/a\\       
a*|1 + tan |-||*tan(1)
  \        \2//
(1+tan⁡2(1))tan⁡(a2)a(tan⁡2(a2)+1)tan⁡(1)\frac{\left(1 + \tan^{2}{\left(1 \right)}\right) \tan{\left(\frac{a}{2} \right)}}{a \left(\tan^{2}{\left(\frac{a}{2} \right)} + 1\right) \tan{\left(1 \right)}} 
             /          2/a\   \            
             |       cos |-|   |            
   2/a   pi\ |           \2/   |    /    pi\
cos |- - --|*|-1 + ------------|*cos|a - --|
    \2   2 / |        2/a   pi\|    \    2 /
             |     cos |- - --||            
             \         \2   2 //            
--------------------------------------------
                            /    pi\        
       2*a*cos(1)*cos(a)*cos|1 - --|        
                            \    2 /
(cos⁡2(a2)cos⁡2(a2−π2)−1)cos⁡2(a2−π2)cos⁡(a−π2)2acos⁡(1)cos⁡(a)cos⁡(1−π2)\frac{\left(\frac{\cos^{2}{\left(\frac{a}{2} \right)}}{\cos^{2}{\left(\frac{a}{2} - \frac{\pi}{2} \right)}} - 1\right) \cos^{2}{\left(\frac{a}{2} - \frac{\pi}{2} \right)} \cos{\left(a - \frac{\pi}{2} \right)}}{2 a \cos{\left(1 \right)} \cos{\left(a \right)} \cos{\left(1 - \frac{\pi}{2} \right)}} 
csc(2)*sin(a)
-------------
      a
sin⁡(a)csc⁡(2)a\frac{\sin{\left(a \right)} \csc{\left(2 \right)}}{a} 
/       2/     pi\\ /       2/pi   a\\                   
|    csc |-1 + --|| |    csc |-- - -||                   
|        \     2 /| |        \2    2/|           /pi    \
|1 + -------------|*|1 - ------------|*csc(1)*csc|-- - a|
|          2      | |         2/a\   |           \2     /
\       csc (1)   / |      csc |-|   |                   
                    \          \2/   /                   
---------------------------------------------------------
                         /     pi\    2/pi   a\          
           2*a*csc(a)*csc|-1 + --|*csc |-- - -|          
                         \     2 /     \2    2/
(1+csc⁡2(−1+π2)csc⁡2(1))(1−csc⁡2(−a2+π2)csc⁡2(a2))csc⁡(1)csc⁡(−a+π2)2acsc⁡(a)csc⁡(−1+π2)csc⁡2(−a2+π2)\frac{\left(1 + \frac{\csc^{2}{\left(-1 + \frac{\pi}{2} \right)}}{\csc^{2}{\left(1 \right)}}\right) \left(1 - \frac{\csc^{2}{\left(- \frac{a}{2} + \frac{\pi}{2} \right)}}{\csc^{2}{\left(\frac{a}{2} \right)}}\right) \csc{\left(1 \right)} \csc{\left(- a + \frac{\pi}{2} \right)}}{2 a \csc{\left(a \right)} \csc{\left(-1 + \frac{\pi}{2} \right)} \csc^{2}{\left(- \frac{a}{2} + \frac{\pi}{2} \right)}} 
             2                                           
/       2/a\\     4/a\ /       2   \ /       2/a\\       
|1 - tan |-|| *cos |-|*\1 + tan (1)/*|1 - tan |-||*tan(a)
\        \4//      \4/               \        \2//       
---------------------------------------------------------
                        2*a*tan(1)
(1+tan⁡2(1))(1−tan⁡2(a4))2(1−tan⁡2(a2))cos⁡4(a4)tan⁡(a)2atan⁡(1)\frac{\left(1 + \tan^{2}{\left(1 \right)}\right) \left(1 - \tan^{2}{\left(\frac{a}{4} \right)}\right)^{2} \left(1 - \tan^{2}{\left(\frac{a}{2} \right)}\right) \cos^{4}{\left(\frac{a}{4} \right)} \tan{\left(a \right)}}{2 a \tan{\left(1 \right)}} 
               2                                             
/       2     \     4/a\    2/a\ /        1   \              
\1 + tan (1/2)/ *cos |-|*tan |-|*|-1 + -------|*tan(1)*tan(a)
                     \4/     \4/ |        2/a\|              
                                 |     tan |-||              
                                 \         \2//              
-------------------------------------------------------------
                               2                             
                        2*a*tan (1/2)
(−1+1tan⁡2(a2))(tan⁡2(12)+1)2cos⁡4(a4)tan⁡(1)tan⁡2(a4)tan⁡(a)2atan⁡2(12)\frac{\left(-1 + \frac{1}{\tan^{2}{\left(\frac{a}{2} \right)}}\right) \left(\tan^{2}{\left(\frac{1}{2} \right)} + 1\right)^{2} \cos^{4}{\left(\frac{a}{4} \right)} \tan{\left(1 \right)} \tan^{2}{\left(\frac{a}{4} \right)} \tan{\left(a \right)}}{2 a \tan^{2}{\left(\frac{1}{2} \right)}} 
        /       2/    pi\\ /       2/a   pi\\                   
        |    cos |1 - --|| |    cos |- - --||                   
   2/a\ |        \    2 /| |        \2   2 /|           /    pi\
cos |-|*|1 + ------------|*|1 - ------------|*cos(1)*cos|a - --|
    \2/ |         2      | |         2/a\   |           \    2 /
        \      cos (1)   / |      cos |-|   |                   
                           \          \2/   /                   
----------------------------------------------------------------
                                   /    pi\                     
                     2*a*cos(a)*cos|1 - --|                     
                                   \    2 /
(1+cos⁡2(1−π2)cos⁡2(1))(1−cos⁡2(a2−π2)cos⁡2(a2))cos⁡(1)cos⁡2(a2)cos⁡(a−π2)2acos⁡(a)cos⁡(1−π2)\frac{\left(1 + \frac{\cos^{2}{\left(1 - \frac{\pi}{2} \right)}}{\cos^{2}{\left(1 \right)}}\right) \left(1 - \frac{\cos^{2}{\left(\frac{a}{2} - \frac{\pi}{2} \right)}}{\cos^{2}{\left(\frac{a}{2} \right)}}\right) \cos{\left(1 \right)} \cos^{2}{\left(\frac{a}{2} \right)} \cos{\left(a - \frac{\pi}{2} \right)}}{2 a \cos{\left(a \right)} \cos{\left(1 - \frac{\pi}{2} \right)}} 
   2/a\ /       2   \ /       2/a\\                     
cos |-|*\1 + tan (1)/*|1 - tan |-||*cos(1)*sec(a)*sin(a)
    \2/               \        \2//                     
--------------------------------------------------------
                       2*a*sin(1)
(1+tan⁡2(1))(1−tan⁡2(a2))sin⁡(a)cos⁡(1)cos⁡2(a2)sec⁡(a)2asin⁡(1)\frac{\left(1 + \tan^{2}{\left(1 \right)}\right) \left(1 - \tan^{2}{\left(\frac{a}{2} \right)}\right) \sin{\left(a \right)} \cos{\left(1 \right)} \cos^{2}{\left(\frac{a}{2} \right)} \sec{\left(a \right)}}{2 a \sin{\left(1 \right)}} 
              2                                                  
/        2/a\\     4/a\ /       2   \ /       2/a\\              
|-1 + cot |-|| *sin |-|*\1 + tan (1)/*|1 - tan |-||*cot(1)*tan(a)
\         \4//      \4/               \        \2//              
-----------------------------------------------------------------
                               2*a
(1+tan⁡2(1))(1−tan⁡2(a2))(cot⁡2(a4)−1)2sin⁡4(a4)tan⁡(a)cot⁡(1)2a\frac{\left(1 + \tan^{2}{\left(1 \right)}\right) \left(1 - \tan^{2}{\left(\frac{a}{2} \right)}\right) \left(\cot^{2}{\left(\frac{a}{4} \right)} - 1\right)^{2} \sin^{4}{\left(\frac{a}{4} \right)} \tan{\left(a \right)} \cot{\left(1 \right)}}{2 a} 
  /       2   \ /        2/a\\ 
  \1 + cot (1)/*|-1 + cot |-|| 
                \         \2// 
-------------------------------
    /       2/a\\              
2*a*|1 + cot |-||*cot(1)*cot(a)
    \        \2//
(cot⁡2(1)+1)(cot⁡2(a2)−1)2a(cot⁡2(a2)+1)cot⁡(1)cot⁡(a)\frac{\left(\cot^{2}{\left(1 \right)} + 1\right) \left(\cot^{2}{\left(\frac{a}{2} \right)} - 1\right)}{2 a \left(\cot^{2}{\left(\frac{a}{2} \right)} + 1\right) \cot{\left(1 \right)} \cot{\left(a \right)}} 
(1 + cot(1)^2)*(-1 + cot(a/2)^2)/(2*a*(1 + cot(a/2)^2)*cot(1)*cot(a))
    © Sr Examen – Калькулятор