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Simplificación de expresiones/ Descomposición en fracciones simples/ cos(a-b)*b/((sin(a)*sin(a)))-1

¿Cómo vas a descomponer esta cos(a-b)*b/((sin(a)*sin(a)))-1 expresión en fracciones?

Expresión a simplificar:

Solución

Ha introducido [src] 
 cos(a - b)*b    
------------- - 1
sin(a)*sin(a)
bcos⁡(a−b)sin⁡(a)sin⁡(a)−1\frac{b \cos{\left(a - b \right)}}{\sin{\left(a \right)} \sin{\left(a \right)}} - 1 
(cos(a - b)*b)/((sin(a)*sin(a))) - 1
Simplificación general [src] 
     b*cos(a - b)
-1 + ------------
          2      
       sin (a)
bcos⁡(a−b)sin⁡2(a)−1\frac{b \cos{\left(a - b \right)}}{\sin^{2}{\left(a \right)}} - 1 
-1 + b*cos(a - b)/sin(a)^2
Unión de expresiones racionales [src] 
     2                  
- sin (a) + b*cos(a - b)
------------------------
           2            
        sin (a)
bcos⁡(a−b)−sin⁡2(a)sin⁡2(a)\frac{b \cos{\left(a - b \right)} - \sin^{2}{\left(a \right)}}{\sin^{2}{\left(a \right)}} 
(-sin(a)^2 + b*cos(a - b))/sin(a)^2
Combinatoria [src] 
     2                  
- sin (a) + b*cos(a - b)
------------------------
           2            
        sin (a)
bcos⁡(a−b)−sin⁡2(a)sin⁡2(a)\frac{b \cos{\left(a - b \right)} - \sin^{2}{\left(a \right)}}{\sin^{2}{\left(a \right)}} 
(-sin(a)^2 + b*cos(a - b))/sin(a)^2
Denominador común [src] 
     b*cos(a - b)
-1 + ------------
          2      
       sin (a)
bcos⁡(a−b)sin⁡2(a)−1\frac{b \cos{\left(a - b \right)}}{\sin^{2}{\left(a \right)}} - 1 
-1 + b*cos(a - b)/sin(a)^2
Potencias [src] 
         / I*(a - b)    I*(b - a)\
         |e            e         |
     4*b*|---------- + ----------|
         \    2            2     /
-1 - -----------------------------
                           2      
           /   -I*a    I*a\       
           \- e     + e   /
−4b(ei(−a+b)2+ei(a−b)2)(eia−e−ia)2−1- \frac{4 b \left(\frac{e^{i \left(- a + b\right)}}{2} + \frac{e^{i \left(a - b\right)}}{2}\right)}{\left(e^{i a} - e^{- i a}\right)^{2}} - 1 
     b*cos(a - b)
-1 + ------------
          2      
       sin (a)
bcos⁡(a−b)sin⁡2(a)−1\frac{b \cos{\left(a - b \right)}}{\sin^{2}{\left(a \right)}} - 1 
-1 + b*cos(a - b)/sin(a)^2
Compilar la expresión [src] 
     b*cos(a - b)
-1 + ------------
          2      
       sin (a)
bcos⁡(a−b)sin⁡2(a)−1\frac{b \cos{\left(a - b \right)}}{\sin^{2}{\left(a \right)}} - 1 
-1 + b*cos(a - b)/sin(a)^2
Abrimos la expresión [src] 
     b*sin(b)   b*cos(a)*cos(b)
-1 + -------- + ---------------
      sin(a)           2       
                    sin (a)
bsin⁡(b)sin⁡(a)+bcos⁡(a)cos⁡(b)sin⁡2(a)−1\frac{b \sin{\left(b \right)}}{\sin{\left(a \right)}} + \frac{b \cos{\left(a \right)} \cos{\left(b \right)}}{\sin^{2}{\left(a \right)}} - 1 
     b*cos(a - b)
-1 + ------------
          2      
       sin (a)
bcos⁡(a−b)sin⁡2(a)−1\frac{b \cos{\left(a - b \right)}}{\sin^{2}{\left(a \right)}} - 1 
-1 + b*cos(a - b)/sin(a)^2
Denominador racional [src] 
     2                  
- sin (a) + b*cos(a - b)
------------------------
           2            
        sin (a)
bcos⁡(a−b)−sin⁡2(a)sin⁡2(a)\frac{b \cos{\left(a - b \right)} - \sin^{2}{\left(a \right)}}{\sin^{2}{\left(a \right)}} 
(-sin(a)^2 + b*cos(a - b))/sin(a)^2
Respuesta numérica [src] 
-1.0 + b*cos(a - b)/sin(a)^2
-1.0 + b*cos(a - b)/sin(a)^2
Parte trigonométrica [src] 
                   /         4/a - b\\     
                   |    4*sin |-----||     
              2    |          \  2  /|     
         b*sin (a)*|1 - -------------|     
                   |        2        |     
                   \     sin (a - b) /     
-1 + --------------------------------------
        /         4/a - b\\                
        |    4*sin |-----||                
        |          \  2  /|    4/a\    4/a\
     16*|1 + -------------|*cos |-|*sin |-|
        |        2        |     \2/     \2/
        \     sin (a - b) /
b(−4sin⁡4(a−b2)sin⁡2(a−b)+1)sin⁡2(a)16(4sin⁡4(a−b2)sin⁡2(a−b)+1)sin⁡4(a2)cos⁡4(a2)−1\frac{b \left(- \frac{4 \sin^{4}{\left(\frac{a - b}{2} \right)}}{\sin^{2}{\left(a - b \right)}} + 1\right) \sin^{2}{\left(a \right)}}{16 \left(\frac{4 \sin^{4}{\left(\frac{a - b}{2} \right)}}{\sin^{2}{\left(a - b \right)}} + 1\right) \sin^{4}{\left(\frac{a}{2} \right)} \cos^{4}{\left(\frac{a}{2} \right)}} - 1 
                        4                      
           /       2/a\\  /       2/a   b\\    
         b*|1 + tan |-|| *|1 - tan |- - -||    
           \        \4//  \        \2   2//    
-1 + ------------------------------------------
                                      4        
       /       2/a   b\\ /       2/a\\     2/a\
     4*|1 + tan |- - -||*|1 - tan |-|| *tan |-|
       \        \2   2// \        \4//      \2/
b(1−tan⁡2(a2−b2))(tan⁡2(a4)+1)44(1−tan⁡2(a4))4(tan⁡2(a2−b2)+1)tan⁡2(a2)−1\frac{b \left(1 - \tan^{2}{\left(\frac{a}{2} - \frac{b}{2} \right)}\right) \left(\tan^{2}{\left(\frac{a}{4} \right)} + 1\right)^{4}}{4 \left(1 - \tan^{2}{\left(\frac{a}{4} \right)}\right)^{4} \left(\tan^{2}{\left(\frac{a}{2} - \frac{b}{2} \right)} + 1\right) \tan^{2}{\left(\frac{a}{2} \right)}} - 1 
               /       2/a   b\\        
             b*|1 - tan |- - -||        
               \        \2   2//        
-1 + -----------------------------------
       /       2/a   b\\    4/a\    2/a\
     4*|1 + tan |- - -||*cos |-|*tan |-|
       \        \2   2//     \2/     \2/
b(1−tan⁡2(a2−b2))4(tan⁡2(a2−b2)+1)cos⁡4(a2)tan⁡2(a2)−1\frac{b \left(1 - \tan^{2}{\left(\frac{a}{2} - \frac{b}{2} \right)}\right)}{4 \left(\tan^{2}{\left(\frac{a}{2} - \frac{b}{2} \right)} + 1\right) \cos^{4}{\left(\frac{a}{2} \right)} \tan^{2}{\left(\frac{a}{2} \right)}} - 1 
                            /       2/pi   b   a\\
                            |    csc |-- + - - -||
          2/a\    2/pi   a\ |        \2    2   2/|
     b*csc |-|*csc |-- - -|*|1 - ----------------|
           \2/     \2    2/ |         2/a   b\   |
                            |      csc |- - -|   |
                            \          \2   2/   /
-1 + ---------------------------------------------
                  /       2/pi   b   a\\          
                  |    csc |-- + - - -||          
                  |        \2    2   2/|          
                4*|1 + ----------------|          
                  |         2/a   b\   |          
                  |      csc |- - -|   |          
                  \          \2   2/   /
b(1−csc⁡2(−a2+b2+π2)csc⁡2(a2−b2))csc⁡2(a2)csc⁡2(−a2+π2)4(1+csc⁡2(−a2+b2+π2)csc⁡2(a2−b2))−1\frac{b \left(1 - \frac{\csc^{2}{\left(- \frac{a}{2} + \frac{b}{2} + \frac{\pi}{2} \right)}}{\csc^{2}{\left(\frac{a}{2} - \frac{b}{2} \right)}}\right) \csc^{2}{\left(\frac{a}{2} \right)} \csc^{2}{\left(- \frac{a}{2} + \frac{\pi}{2} \right)}}{4 \left(1 + \frac{\csc^{2}{\left(- \frac{a}{2} + \frac{b}{2} + \frac{\pi}{2} \right)}}{\csc^{2}{\left(\frac{a}{2} - \frac{b}{2} \right)}}\right)} - 1 
                    2                  
       /       2/a\\  /       2/a   b\\
     b*|1 + tan |-|| *|1 - tan |- - -||
       \        \2//  \        \2   2//
-1 + ----------------------------------
          /       2/a   b\\    2/a\    
        4*|1 + tan |- - -||*tan |-|    
          \        \2   2//     \2/
b(1−tan⁡2(a2−b2))(tan⁡2(a2)+1)24(tan⁡2(a2−b2)+1)tan⁡2(a2)−1\frac{b \left(1 - \tan^{2}{\left(\frac{a}{2} - \frac{b}{2} \right)}\right) \left(\tan^{2}{\left(\frac{a}{2} \right)} + 1\right)^{2}}{4 \left(\tan^{2}{\left(\frac{a}{2} - \frac{b}{2} \right)} + 1\right) \tan^{2}{\left(\frac{a}{2} \right)}} - 1 
  /                      2                                    \
  |     /       /    pi\\         /    pi\        /    pi    \|
2*|-2 + |1 - sin|a + --||  + 2*sin|a + --| + b*sin|a + -- - b||
  \     \       \    2 //         \    2 /        \    2     //
---------------------------------------------------------------
                              /pi      \                       
                       1 - sin|-- + 2*a|                       
                              \2       /
2(bsin⁡(a−b+π2)+(1−sin⁡(a+π2))2+2sin⁡(a+π2)−2)1−sin⁡(2a+π2)\frac{2 \left(b \sin{\left(a - b + \frac{\pi}{2} \right)} + \left(1 - \sin{\left(a + \frac{\pi}{2} \right)}\right)^{2} + 2 \sin{\left(a + \frac{\pi}{2} \right)} - 2\right)}{1 - \sin{\left(2 a + \frac{\pi}{2} \right)}} 
                      /         4/a   b\\       
                      |    4*sin |- - -||       
                 2    |          \2   2/|       
            b*sin (a)*|1 - -------------|       
                      |        2        |       
                      \     sin (a - b) /       
-1 + -------------------------------------------
        /         4/a   b\\                     
        |    4*sin |- - -||                     
        |          \2   2/|    4/a\    4/pi   a\
     16*|1 + -------------|*sin |-|*sin |-- + -|
        |        2        |     \2/     \2    2/
        \     sin (a - b) /
b(−4sin⁡4(a2−b2)sin⁡2(a−b)+1)sin⁡2(a)16(4sin⁡4(a2−b2)sin⁡2(a−b)+1)sin⁡4(a2)sin⁡4(a2+π2)−1\frac{b \left(- \frac{4 \sin^{4}{\left(\frac{a}{2} - \frac{b}{2} \right)}}{\sin^{2}{\left(a - b \right)}} + 1\right) \sin^{2}{\left(a \right)}}{16 \left(\frac{4 \sin^{4}{\left(\frac{a}{2} - \frac{b}{2} \right)}}{\sin^{2}{\left(a - b \right)}} + 1\right) \sin^{4}{\left(\frac{a}{2} \right)} \sin^{4}{\left(\frac{a}{2} + \frac{\pi}{2} \right)}} - 1 
             2      
        b*csc (a)   
-1 + ---------------
        /    pi    \
     csc|b + -- - a|
        \    2     /
bcsc⁡2(a)csc⁡(−a+b+π2)−1\frac{b \csc^{2}{\left(a \right)}}{\csc{\left(- a + b + \frac{\pi}{2} \right)}} - 1 
          2/    pi\
     b*sec |a - --|
           \    2 /
-1 + --------------
       sec(a - b)
bsec⁡2(a−π2)sec⁡(a−b)−1\frac{b \sec^{2}{\left(a - \frac{\pi}{2} \right)}}{\sec{\left(a - b \right)}} - 1 
  /                 2                          \
2*\-2 + (1 - cos(a))  + 2*cos(a) + b*cos(a - b)/
------------------------------------------------
                  1 - cos(2*a)
2(bcos⁡(a−b)+(1−cos⁡(a))2+2cos⁡(a)−2)1−cos⁡(2a)\frac{2 \left(b \cos{\left(a - b \right)} + \left(1 - \cos{\left(a \right)}\right)^{2} + 2 \cos{\left(a \right)} - 2\right)}{1 - \cos{\left(2 a \right)}} 
  /                       2                                          \
  |     /            2/a\\      /        2/a\\     /        2/a   b\\|
  |     |    -1 + cot |-||    2*|-1 + cot |-||   b*|-1 + cot |- - -|||
  |     |             \2/|      \         \2//     \         \2   2//|
2*|-2 + |1 - ------------|  + ---------------- + --------------------|
  |     |           2/a\ |             2/a\               2/a   b\   |
  |     |    1 + cot |-| |      1 + cot |-|        1 + cot |- - -|   |
  \     \            \2/ /              \2/                \2   2/   /
----------------------------------------------------------------------
                                       2                              
                               -1 + cot (a)                           
                           1 - ------------                           
                                      2                               
                               1 + cot (a)
2(b(cot⁡2(a2−b2)−1)cot⁡2(a2−b2)+1+(−cot⁡2(a2)−1cot⁡2(a2)+1+1)2+2(cot⁡2(a2)−1)cot⁡2(a2)+1−2)−cot⁡2(a)−1cot⁡2(a)+1+1\frac{2 \left(\frac{b \left(\cot^{2}{\left(\frac{a}{2} - \frac{b}{2} \right)} - 1\right)}{\cot^{2}{\left(\frac{a}{2} - \frac{b}{2} \right)} + 1} + \left(- \frac{\cot^{2}{\left(\frac{a}{2} \right)} - 1}{\cot^{2}{\left(\frac{a}{2} \right)} + 1} + 1\right)^{2} + \frac{2 \left(\cot^{2}{\left(\frac{a}{2} \right)} - 1\right)}{\cot^{2}{\left(\frac{a}{2} \right)} + 1} - 2\right)}{- \frac{\cot^{2}{\left(a \right)} - 1}{\cot^{2}{\left(a \right)} + 1} + 1} 
  /                 2                      \
  |     /      1   \      2          b     |
2*|-2 + |1 - ------|  + ------ + ----------|
  \     \    sec(a)/    sec(a)   sec(a - b)/
--------------------------------------------
                       1                    
                1 - --------                
                    sec(2*a)
2(bsec⁡(a−b)+(1−1sec⁡(a))2−2+2sec⁡(a))1−1sec⁡(2a)\frac{2 \left(\frac{b}{\sec{\left(a - b \right)}} + \left(1 - \frac{1}{\sec{\left(a \right)}}\right)^{2} - 2 + \frac{2}{\sec{\left(a \right)}}\right)}{1 - \frac{1}{\sec{\left(2 a \right)}}} 
          2    
     b*csc (a) 
-1 + ----------
     sec(a - b)
bcsc⁡2(a)sec⁡(a−b)−1\frac{b \csc^{2}{\left(a \right)}}{\sec{\left(a - b \right)}} - 1 
     b*cos(a - b)
-1 + ------------
        2/    pi\
     cos |a - --|
         \    2 /
bcos⁡(a−b)cos⁡2(a−π2)−1\frac{b \cos{\left(a - b \right)}}{\cos^{2}{\left(a - \frac{\pi}{2} \right)}} - 1 
                      /       2/a   b\\                
                    b*|1 - tan |- - -||                
                      \        \2   2//                
-1 + --------------------------------------------------
                                      4                
       /       2/a   b\\ /       2/a\\     8/a\    2/a\
     4*|1 + tan |- - -||*|1 - tan |-|| *cos |-|*tan |-|
       \        \2   2// \        \4//      \4/     \2/
b(1−tan⁡2(a2−b2))4(1−tan⁡2(a4))4(tan⁡2(a2−b2)+1)cos⁡8(a4)tan⁡2(a2)−1\frac{b \left(1 - \tan^{2}{\left(\frac{a}{2} - \frac{b}{2} \right)}\right)}{4 \left(1 - \tan^{2}{\left(\frac{a}{4} \right)}\right)^{4} \left(\tan^{2}{\left(\frac{a}{2} - \frac{b}{2} \right)} + 1\right) \cos^{8}{\left(\frac{a}{4} \right)} \tan^{2}{\left(\frac{a}{2} \right)}} - 1 
                  2/a\ /       2/a   b\\        
             b*cot |-|*|1 - tan |- - -||        
                   \2/ \        \2   2//        
-1 + -------------------------------------------
                                       4        
       /       2/a   b\\ /        2/a\\     8/a\
     4*|1 + tan |- - -||*|-1 + cot |-|| *sin |-|
       \        \2   2// \         \4//      \4/
b(1−tan⁡2(a2−b2))cot⁡2(a2)4(tan⁡2(a2−b2)+1)(cot⁡2(a4)−1)4sin⁡8(a4)−1\frac{b \left(1 - \tan^{2}{\left(\frac{a}{2} - \frac{b}{2} \right)}\right) \cot^{2}{\left(\frac{a}{2} \right)}}{4 \left(\tan^{2}{\left(\frac{a}{2} - \frac{b}{2} \right)} + 1\right) \left(\cot^{2}{\left(\frac{a}{4} \right)} - 1\right)^{4} \sin^{8}{\left(\frac{a}{4} \right)}} - 1 
                  /       2/a   pi   b\\          
                  |    cos |- - -- - -||          
                  |        \2   2    2/|          
                b*|1 - ----------------|          
                  |         2/a   b\   |          
                  |      cos |- - -|   |          
                  \          \2   2/   /          
-1 + ---------------------------------------------
       /       2/a   pi   b\\                     
       |    cos |- - -- - -||                     
       |        \2   2    2/|    2/a\    2/a   pi\
     4*|1 + ----------------|*cos |-|*cos |- - --|
       |         2/a   b\   |     \2/     \2   2 /
       |      cos |- - -|   |                     
       \          \2   2/   /
b(1−cos⁡2(a2−b2−π2)cos⁡2(a2−b2))4(1+cos⁡2(a2−b2−π2)cos⁡2(a2−b2))cos⁡2(a2)cos⁡2(a2−π2)−1\frac{b \left(1 - \frac{\cos^{2}{\left(\frac{a}{2} - \frac{b}{2} - \frac{\pi}{2} \right)}}{\cos^{2}{\left(\frac{a}{2} - \frac{b}{2} \right)}}\right)}{4 \left(1 + \frac{\cos^{2}{\left(\frac{a}{2} - \frac{b}{2} - \frac{\pi}{2} \right)}}{\cos^{2}{\left(\frac{a}{2} - \frac{b}{2} \right)}}\right) \cos^{2}{\left(\frac{a}{2} \right)} \cos^{2}{\left(\frac{a}{2} - \frac{\pi}{2} \right)}} - 1 
          2              
-1 + b*csc (a)*cos(a - b)
bcos⁡(a−b)csc⁡2(a)−1b \cos{\left(a - b \right)} \csc^{2}{\left(a \right)} - 1 
  /                      2                                \
  |     /         1     \         2               b       |
2*|-2 + |1 - -----------|  + ----------- + ---------------|
  |     |       /pi    \|       /pi    \      /    pi    \|
  |     |    csc|-- - a||    csc|-- - a|   csc|b + -- - a||
  \     \       \2     //       \2     /      \    2     //
-----------------------------------------------------------
                               1                           
                     1 - -------------                     
                            /pi      \                     
                         csc|-- - 2*a|                     
                            \2       /
2(bcsc⁡(−a+b+π2)+(1−1csc⁡(−a+π2))2−2+2csc⁡(−a+π2))1−1csc⁡(−2a+π2)\frac{2 \left(\frac{b}{\csc{\left(- a + b + \frac{\pi}{2} \right)}} + \left(1 - \frac{1}{\csc{\left(- a + \frac{\pi}{2} \right)}}\right)^{2} - 2 + \frac{2}{\csc{\left(- a + \frac{\pi}{2} \right)}}\right)}{1 - \frac{1}{\csc{\left(- 2 a + \frac{\pi}{2} \right)}}} 
          2/pi    \
     b*sec |-- - a|
           \2     /
-1 + --------------
       sec(a - b)
bsec⁡2(−a+π2)sec⁡(a−b)−1\frac{b \sec^{2}{\left(- a + \frac{\pi}{2} \right)}}{\sec{\left(a - b \right)}} - 1 
  /                      2                                        \
  |     /           2/a\\      /       2/a\\     /       2/a   b\\|
  |     |    1 - tan |-||    2*|1 - tan |-||   b*|1 - tan |- - -|||
  |     |            \2/|      \        \2//     \        \2   2//|
2*|-2 + |1 - -----------|  + --------------- + -------------------|
  |     |           2/a\|             2/a\              2/a   b\  |
  |     |    1 + tan |-||      1 + tan |-|       1 + tan |- - -|  |
  \     \            \2//              \2/               \2   2/  /
-------------------------------------------------------------------
                                     2                             
                              1 - tan (a)                          
                          1 - -----------                          
                                     2                             
                              1 + tan (a)
2(b(1−tan⁡2(a2−b2))tan⁡2(a2−b2)+1+2(1−tan⁡2(a2))tan⁡2(a2)+1+(−1−tan⁡2(a2)tan⁡2(a2)+1+1)2−2)−1−tan⁡2(a)tan⁡2(a)+1+1\frac{2 \left(\frac{b \left(1 - \tan^{2}{\left(\frac{a}{2} - \frac{b}{2} \right)}\right)}{\tan^{2}{\left(\frac{a}{2} - \frac{b}{2} \right)} + 1} + \frac{2 \left(1 - \tan^{2}{\left(\frac{a}{2} \right)}\right)}{\tan^{2}{\left(\frac{a}{2} \right)} + 1} + \left(- \frac{1 - \tan^{2}{\left(\frac{a}{2} \right)}}{\tan^{2}{\left(\frac{a}{2} \right)} + 1} + 1\right)^{2} - 2\right)}{- \frac{1 - \tan^{2}{\left(a \right)}}{\tan^{2}{\left(a \right)} + 1} + 1} 
                    4                          
       /       2/a\\     2/a\ /         1     \
     b*|1 + cot |-|| *cot |-|*|1 - -----------|
       \        \4//      \2/ |       2/a   b\|
                              |    cot |- - -||
                              \        \2   2//
-1 + ------------------------------------------
                                          4    
          /         1     \ /        2/a\\     
        4*|1 + -----------|*|-1 + cot |-||     
          |       2/a   b\| \         \4//     
          |    cot |- - -||                    
          \        \2   2//
b(1−1cot⁡2(a2−b2))(cot⁡2(a4)+1)4cot⁡2(a2)4(1+1cot⁡2(a2−b2))(cot⁡2(a4)−1)4−1\frac{b \left(1 - \frac{1}{\cot^{2}{\left(\frac{a}{2} - \frac{b}{2} \right)}}\right) \left(\cot^{2}{\left(\frac{a}{4} \right)} + 1\right)^{4} \cot^{2}{\left(\frac{a}{2} \right)}}{4 \left(1 + \frac{1}{\cot^{2}{\left(\frac{a}{2} - \frac{b}{2} \right)}}\right) \left(\cot^{2}{\left(\frac{a}{4} \right)} - 1\right)^{4}} - 1 
          /    pi    \
     b*sin|a + -- - b|
          \    2     /
-1 + -----------------
             2        
          sin (a)
bsin⁡(a−b+π2)sin⁡2(a)−1\frac{b \sin{\left(a - b + \frac{\pi}{2} \right)}}{\sin^{2}{\left(a \right)}} - 1 
     b*cos(a - b)
-1 + ------------
          2      
       sin (a)
bcos⁡(a−b)sin⁡2(a)−1\frac{b \cos{\left(a - b \right)}}{\sin^{2}{\left(a \right)}} - 1 
                    2                   
       /       2/a\\  /        2/a   b\\
     b*|1 + cot |-|| *|-1 + cot |- - -||
       \        \2//  \         \2   2//
-1 + -----------------------------------
           /       2/a   b\\    2/a\    
         4*|1 + cot |- - -||*cot |-|    
           \        \2   2//     \2/
b(cot⁡2(a2)+1)2(cot⁡2(a2−b2)−1)4(cot⁡2(a2−b2)+1)cot⁡2(a2)−1\frac{b \left(\cot^{2}{\left(\frac{a}{2} \right)} + 1\right)^{2} \left(\cot^{2}{\left(\frac{a}{2} - \frac{b}{2} \right)} - 1\right)}{4 \left(\cot^{2}{\left(\frac{a}{2} - \frac{b}{2} \right)} + 1\right) \cot^{2}{\left(\frac{a}{2} \right)}} - 1 
                            /         2/a   b\   \
                            |      sec |- - -|   |
          2/a\    2/a   pi\ |          \2   2/   |
     b*sec |-|*sec |- - --|*|1 - ----------------|
           \2/     \2   2 / |       2/a   pi   b\|
                            |    sec |- - -- - -||
                            \        \2   2    2//
-1 + ---------------------------------------------
                  /         2/a   b\   \          
                  |      sec |- - -|   |          
                  |          \2   2/   |          
                4*|1 + ----------------|          
                  |       2/a   pi   b\|          
                  |    sec |- - -- - -||          
                  \        \2   2    2//
b(−sec⁡2(a2−b2)sec⁡2(a2−b2−π2)+1)sec⁡2(a2)sec⁡2(a2−π2)4(sec⁡2(a2−b2)sec⁡2(a2−b2−π2)+1)−1\frac{b \left(- \frac{\sec^{2}{\left(\frac{a}{2} - \frac{b}{2} \right)}}{\sec^{2}{\left(\frac{a}{2} - \frac{b}{2} - \frac{\pi}{2} \right)}} + 1\right) \sec^{2}{\left(\frac{a}{2} \right)} \sec^{2}{\left(\frac{a}{2} - \frac{\pi}{2} \right)}}{4 \left(\frac{\sec^{2}{\left(\frac{a}{2} - \frac{b}{2} \right)}}{\sec^{2}{\left(\frac{a}{2} - \frac{b}{2} - \frac{\pi}{2} \right)}} + 1\right)} - 1 
                                   /       2/a   b\\
                                 b*|1 - tan |- - -||
                  2                \        \2   2//
-2 + (-1 + cos(a))  + 2*cos(a) + -------------------
                                          2/a   b\  
                                   1 + tan |- - -|  
                                           \2   2/  
----------------------------------------------------
                         2                          
                      sin (a)
b(1−tan⁡2(a2−b2))tan⁡2(a2−b2)+1+(cos⁡(a)−1)2+2cos⁡(a)−2sin⁡2(a)\frac{\frac{b \left(1 - \tan^{2}{\left(\frac{a}{2} - \frac{b}{2} \right)}\right)}{\tan^{2}{\left(\frac{a}{2} - \frac{b}{2} \right)} + 1} + \left(\cos{\left(a \right)} - 1\right)^{2} + 2 \cos{\left(a \right)} - 2}{\sin^{2}{\left(a \right)}} 
(-2 + (-1 + cos(a))^2 + 2*cos(a) + b*(1 - tan(a/2 - b/2)^2)/(1 + tan(a/2 - b/2)^2))/sin(a)^2
    © Sr Examen – Калькулятор