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Simplificación de expresiones/ Descomposición en fracciones simples/ tan(2*a)*cot(2*a)-sin(25*a)/(cos(25*a)-1)

¿Cómo vas a descomponer esta tan(2*a)*cot(2*a)-sin(25*a)/(cos(25*a)-1) expresión en fracciones?

Expresión a simplificar:

Solución

Ha introducido [src] 
                      sin(25*a)  
tan(2*a)*cot(2*a) - -------------
                    cos(25*a) - 1
tan⁡(2a)cot⁡(2a)−sin⁡(25a)cos⁡(25a)−1\tan{\left(2 a \right)} \cot{\left(2 a \right)} - \frac{\sin{\left(25 a \right)}}{\cos{\left(25 a \right)} - 1} 
tan(2*a)*cot(2*a) - sin(25*a)/(cos(25*a) - 1)
Simplificación general [src] 
       ___    /       pi\
-1 + \/ 2 *cos|25*a + --|
              \       4 /
-------------------------
      -1 + cos(25*a)
2cos⁡(25a+π4)−1cos⁡(25a)−1\frac{\sqrt{2} \cos{\left(25 a + \frac{\pi}{4} \right)} - 1}{\cos{\left(25 a \right)} - 1} 
(-1 + sqrt(2)*cos(25*a + pi/4))/(-1 + cos(25*a))
Respuesta numérica [src] 
cot(2*a)*tan(2*a) - sin(25*a)/(-1.0 + cos(25*a))
cot(2*a)*tan(2*a) - sin(25*a)/(-1.0 + cos(25*a))
Denominador racional [src] 
-sin(25*a) + (-1 + cos(25*a))*cot(2*a)*tan(2*a)
-----------------------------------------------
                 -1 + cos(25*a)
(cos⁡(25a)−1)tan⁡(2a)cot⁡(2a)−sin⁡(25a)cos⁡(25a)−1\frac{\left(\cos{\left(25 a \right)} - 1\right) \tan{\left(2 a \right)} \cot{\left(2 a \right)} - \sin{\left(25 a \right)}}{\cos{\left(25 a \right)} - 1} 
(-sin(25*a) + (-1 + cos(25*a))*cot(2*a)*tan(2*a))/(-1 + cos(25*a))
Unión de expresiones racionales [src] 
-sin(25*a) + (-1 + cos(25*a))*cot(2*a)*tan(2*a)
-----------------------------------------------
                 -1 + cos(25*a)
(cos⁡(25a)−1)tan⁡(2a)cot⁡(2a)−sin⁡(25a)cos⁡(25a)−1\frac{\left(\cos{\left(25 a \right)} - 1\right) \tan{\left(2 a \right)} \cot{\left(2 a \right)} - \sin{\left(25 a \right)}}{\cos{\left(25 a \right)} - 1} 
(-sin(25*a) + (-1 + cos(25*a))*cot(2*a)*tan(2*a))/(-1 + cos(25*a))
Potencias [src] 
    /   -25*I*a    25*I*a\      /   2*I*a    -2*I*a\         
  I*\- e        + e      /    I*\- e      + e      /*cot(2*a)
--------------------------- + -------------------------------
  /      -25*I*a    25*I*a\            -2*I*a    2*I*a       
  |     e          e      |           e       + e            
2*|-1 + -------- + -------|                                  
  \        2          2   /
i(−e2ia+e−2ia)cot⁡(2a)e2ia+e−2ia+i(e25ia−e−25ia)2(e25ia2−1+e−25ia2)\frac{i \left(- e^{2 i a} + e^{- 2 i a}\right) \cot{\left(2 a \right)}}{e^{2 i a} + e^{- 2 i a}} + \frac{i \left(e^{25 i a} - e^{- 25 i a}\right)}{2 \left(\frac{e^{25 i a}}{2} - 1 + \frac{e^{- 25 i a}}{2}\right)} 
i*(-exp(-25*i*a) + exp(25*i*a))/(2*(-1 + exp(-25*i*a)/2 + exp(25*i*a)/2)) + i*(-exp(2*i*a) + exp(-2*i*a))*cot(2*a)/(exp(-2*i*a) + exp(2*i*a))
Abrimos la expresión [src] 
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            tan(a)                                                                                                                               466944000*sin  (a)                                                                                                                                                                                                                                        288358400*sin  (a)                                                                                                                                                                                                                                        146227200*sin  (a)                                                                                                                                                                                                                                        16777216*sin  (a)                                                                                                                                                                                                                                          9152000*sin (a)                                                                                                                                                                                                                                            80080*sin (a)                                                                                                                                                                                                                                               25*sin(a)                                                                                                                                                                                                                                                2600*sin (a)                                                                                                                                                                                                                                            1144000*sin (a)                                                                                                                                                                                                                                          45260800*sin  (a)                                                                                                                                                                                                                                         104857600*sin  (a)                                                                                                                                                                                                                                        317521920*sin  (a)                                                                                                                                                                                                                                        458752000*sin  (a)                                                                                                                           cot (a)*tan(a)     
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       2                                        19                   15                   23                  11                 7              3                           5                 9                  25                   13                   21                   17                        19                   15                   23                  11                 7              3                           5                 9                  25                   13                   21                   17                        19                   15                   23                  11                 7              3                           5                 9                  25                   13                   21                   17                        19                   15                   23                  11                 7              3                           5                 9                  25                   13                   21                   17                        19                   15                   23                  11                 7              3                           5                 9                  25                   13                   21                   17                        19                   15                   23                  11                 7              3                           5                 9                  25                   13                   21                   17                        19                   15                   23                  11                 7              3                           5                 9                  25                   13                   21                   17                        19                   15                   23                  11                 7              3                           5                 9                  25                   13                   21                   17                        19                   15                   23                  11                 7              3                           5                 9                  25                   13                   21                   17                        19                   15                   23                  11                 7              3                           5                 9                  25                   13                   21                   17                        19                   15                   23                  11                 7              3                           5                 9                  25                   13                   21                   17                        19                   15                   23                  11                 7              3                           5                 9                  25                   13                   21                   17                        19                   15                   23                  11                 7              3                           5                 9                  25                   13                   21                   17           2                   
  - tan (a)*cot(a) + cot(a)   -1 - 458752000*cos  (a) - 317521920*cos  (a) - 104857600*cos  (a) - 45260800*cos  (a) - 1144000*cos (a) - 2600*cos (a) + 25*cos(a) + 80080*cos (a) + 9152000*cos (a) + 16777216*cos  (a) + 146227200*cos  (a) + 288358400*cos  (a) + 466944000*cos  (a)   -1 - 458752000*cos  (a) - 317521920*cos  (a) - 104857600*cos  (a) - 45260800*cos  (a) - 1144000*cos (a) - 2600*cos (a) + 25*cos(a) + 80080*cos (a) + 9152000*cos (a) + 16777216*cos  (a) + 146227200*cos  (a) + 288358400*cos  (a) + 466944000*cos  (a)   -1 - 458752000*cos  (a) - 317521920*cos  (a) - 104857600*cos  (a) - 45260800*cos  (a) - 1144000*cos (a) - 2600*cos (a) + 25*cos(a) + 80080*cos (a) + 9152000*cos (a) + 16777216*cos  (a) + 146227200*cos  (a) + 288358400*cos  (a) + 466944000*cos  (a)   -1 - 458752000*cos  (a) - 317521920*cos  (a) - 104857600*cos  (a) - 45260800*cos  (a) - 1144000*cos (a) - 2600*cos (a) + 25*cos(a) + 80080*cos (a) + 9152000*cos (a) + 16777216*cos  (a) + 146227200*cos  (a) + 288358400*cos  (a) + 466944000*cos  (a)   -1 - 458752000*cos  (a) - 317521920*cos  (a) - 104857600*cos  (a) - 45260800*cos  (a) - 1144000*cos (a) - 2600*cos (a) + 25*cos(a) + 80080*cos (a) + 9152000*cos (a) + 16777216*cos  (a) + 146227200*cos  (a) + 288358400*cos  (a) + 466944000*cos  (a)   -1 - 458752000*cos  (a) - 317521920*cos  (a) - 104857600*cos  (a) - 45260800*cos  (a) - 1144000*cos (a) - 2600*cos (a) + 25*cos(a) + 80080*cos (a) + 9152000*cos (a) + 16777216*cos  (a) + 146227200*cos  (a) + 288358400*cos  (a) + 466944000*cos  (a)   -1 - 458752000*cos  (a) - 317521920*cos  (a) - 104857600*cos  (a) - 45260800*cos  (a) - 1144000*cos (a) - 2600*cos (a) + 25*cos(a) + 80080*cos (a) + 9152000*cos (a) + 16777216*cos  (a) + 146227200*cos  (a) + 288358400*cos  (a) + 466944000*cos  (a)   -1 - 458752000*cos  (a) - 317521920*cos  (a) - 104857600*cos  (a) - 45260800*cos  (a) - 1144000*cos (a) - 2600*cos (a) + 25*cos(a) + 80080*cos (a) + 9152000*cos (a) + 16777216*cos  (a) + 146227200*cos  (a) + 288358400*cos  (a) + 466944000*cos  (a)   -1 - 458752000*cos  (a) - 317521920*cos  (a) - 104857600*cos  (a) - 45260800*cos  (a) - 1144000*cos (a) - 2600*cos (a) + 25*cos(a) + 80080*cos (a) + 9152000*cos (a) + 16777216*cos  (a) + 146227200*cos  (a) + 288358400*cos  (a) + 466944000*cos  (a)   -1 - 458752000*cos  (a) - 317521920*cos  (a) - 104857600*cos  (a) - 45260800*cos  (a) - 1144000*cos (a) - 2600*cos (a) + 25*cos(a) + 80080*cos (a) + 9152000*cos (a) + 16777216*cos  (a) + 146227200*cos  (a) + 288358400*cos  (a) + 466944000*cos  (a)   -1 - 458752000*cos  (a) - 317521920*cos  (a) - 104857600*cos  (a) - 45260800*cos  (a) - 1144000*cos (a) - 2600*cos (a) + 25*cos(a) + 80080*cos (a) + 9152000*cos (a) + 16777216*cos  (a) + 146227200*cos  (a) + 288358400*cos  (a) + 466944000*cos  (a)   -1 - 458752000*cos  (a) - 317521920*cos  (a) - 104857600*cos  (a) - 45260800*cos  (a) - 1144000*cos (a) - 2600*cos (a) + 25*cos(a) + 80080*cos (a) + 9152000*cos (a) + 16777216*cos  (a) + 146227200*cos  (a) + 288358400*cos  (a) + 466944000*cos  (a)   -1 - 458752000*cos  (a) - 317521920*cos  (a) - 104857600*cos  (a) - 45260800*cos  (a) - 1144000*cos (a) - 2600*cos (a) + 25*cos(a) + 80080*cos (a) + 9152000*cos (a) + 16777216*cos  (a) + 146227200*cos  (a) + 288358400*cos  (a) + 466944000*cos  (a)   - tan (a)*cot(a) + cot(a)
−16777216sin⁡25(a)16777216cos⁡25(a)−104857600cos⁡23(a)+288358400cos⁡21(a)−458752000cos⁡19(a)+466944000cos⁡17(a)−317521920cos⁡15(a)+146227200cos⁡13(a)−45260800cos⁡11(a)+9152000cos⁡9(a)−1144000cos⁡7(a)+80080cos⁡5(a)−2600cos⁡3(a)+25cos⁡(a)−1+104857600sin⁡23(a)16777216cos⁡25(a)−104857600cos⁡23(a)+288358400cos⁡21(a)−458752000cos⁡19(a)+466944000cos⁡17(a)−317521920cos⁡15(a)+146227200cos⁡13(a)−45260800cos⁡11(a)+9152000cos⁡9(a)−1144000cos⁡7(a)+80080cos⁡5(a)−2600cos⁡3(a)+25cos⁡(a)−1−288358400sin⁡21(a)16777216cos⁡25(a)−104857600cos⁡23(a)+288358400cos⁡21(a)−458752000cos⁡19(a)+466944000cos⁡17(a)−317521920cos⁡15(a)+146227200cos⁡13(a)−45260800cos⁡11(a)+9152000cos⁡9(a)−1144000cos⁡7(a)+80080cos⁡5(a)−2600cos⁡3(a)+25cos⁡(a)−1+458752000sin⁡19(a)16777216cos⁡25(a)−104857600cos⁡23(a)+288358400cos⁡21(a)−458752000cos⁡19(a)+466944000cos⁡17(a)−317521920cos⁡15(a)+146227200cos⁡13(a)−45260800cos⁡11(a)+9152000cos⁡9(a)−1144000cos⁡7(a)+80080cos⁡5(a)−2600cos⁡3(a)+25cos⁡(a)−1−466944000sin⁡17(a)16777216cos⁡25(a)−104857600cos⁡23(a)+288358400cos⁡21(a)−458752000cos⁡19(a)+466944000cos⁡17(a)−317521920cos⁡15(a)+146227200cos⁡13(a)−45260800cos⁡11(a)+9152000cos⁡9(a)−1144000cos⁡7(a)+80080cos⁡5(a)−2600cos⁡3(a)+25cos⁡(a)−1+317521920sin⁡15(a)16777216cos⁡25(a)−104857600cos⁡23(a)+288358400cos⁡21(a)−458752000cos⁡19(a)+466944000cos⁡17(a)−317521920cos⁡15(a)+146227200cos⁡13(a)−45260800cos⁡11(a)+9152000cos⁡9(a)−1144000cos⁡7(a)+80080cos⁡5(a)−2600cos⁡3(a)+25cos⁡(a)−1−146227200sin⁡13(a)16777216cos⁡25(a)−104857600cos⁡23(a)+288358400cos⁡21(a)−458752000cos⁡19(a)+466944000cos⁡17(a)−317521920cos⁡15(a)+146227200cos⁡13(a)−45260800cos⁡11(a)+9152000cos⁡9(a)−1144000cos⁡7(a)+80080cos⁡5(a)−2600cos⁡3(a)+25cos⁡(a)−1+45260800sin⁡11(a)16777216cos⁡25(a)−104857600cos⁡23(a)+288358400cos⁡21(a)−458752000cos⁡19(a)+466944000cos⁡17(a)−317521920cos⁡15(a)+146227200cos⁡13(a)−45260800cos⁡11(a)+9152000cos⁡9(a)−1144000cos⁡7(a)+80080cos⁡5(a)−2600cos⁡3(a)+25cos⁡(a)−1−9152000sin⁡9(a)16777216cos⁡25(a)−104857600cos⁡23(a)+288358400cos⁡21(a)−458752000cos⁡19(a)+466944000cos⁡17(a)−317521920cos⁡15(a)+146227200cos⁡13(a)−45260800cos⁡11(a)+9152000cos⁡9(a)−1144000cos⁡7(a)+80080cos⁡5(a)−2600cos⁡3(a)+25cos⁡(a)−1+1144000sin⁡7(a)16777216cos⁡25(a)−104857600cos⁡23(a)+288358400cos⁡21(a)−458752000cos⁡19(a)+466944000cos⁡17(a)−317521920cos⁡15(a)+146227200cos⁡13(a)−45260800cos⁡11(a)+9152000cos⁡9(a)−1144000cos⁡7(a)+80080cos⁡5(a)−2600cos⁡3(a)+25cos⁡(a)−1−80080sin⁡5(a)16777216cos⁡25(a)−104857600cos⁡23(a)+288358400cos⁡21(a)−458752000cos⁡19(a)+466944000cos⁡17(a)−317521920cos⁡15(a)+146227200cos⁡13(a)−45260800cos⁡11(a)+9152000cos⁡9(a)−1144000cos⁡7(a)+80080cos⁡5(a)−2600cos⁡3(a)+25cos⁡(a)−1+2600sin⁡3(a)16777216cos⁡25(a)−104857600cos⁡23(a)+288358400cos⁡21(a)−458752000cos⁡19(a)+466944000cos⁡17(a)−317521920cos⁡15(a)+146227200cos⁡13(a)−45260800cos⁡11(a)+9152000cos⁡9(a)−1144000cos⁡7(a)+80080cos⁡5(a)−2600cos⁡3(a)+25cos⁡(a)−1−25sin⁡(a)16777216cos⁡25(a)−104857600cos⁡23(a)+288358400cos⁡21(a)−458752000cos⁡19(a)+466944000cos⁡17(a)−317521920cos⁡15(a)+146227200cos⁡13(a)−45260800cos⁡11(a)+9152000cos⁡9(a)−1144000cos⁡7(a)+80080cos⁡5(a)−2600cos⁡3(a)+25cos⁡(a)−1+tan⁡(a)cot⁡2(a)−tan⁡2(a)cot⁡(a)+cot⁡(a)−tan⁡(a)−tan⁡2(a)cot⁡(a)+cot⁡(a)- \frac{16777216 \sin^{25}{\left(a \right)}}{16777216 \cos^{25}{\left(a \right)} - 104857600 \cos^{23}{\left(a \right)} + 288358400 \cos^{21}{\left(a \right)} - 458752000 \cos^{19}{\left(a \right)} + 466944000 \cos^{17}{\left(a \right)} - 317521920 \cos^{15}{\left(a \right)} + 146227200 \cos^{13}{\left(a \right)} - 45260800 \cos^{11}{\left(a \right)} + 9152000 \cos^{9}{\left(a \right)} - 1144000 \cos^{7}{\left(a \right)} + 80080 \cos^{5}{\left(a \right)} - 2600 \cos^{3}{\left(a \right)} + 25 \cos{\left(a \right)} - 1} + \frac{104857600 \sin^{23}{\left(a \right)}}{16777216 \cos^{25}{\left(a \right)} - 104857600 \cos^{23}{\left(a \right)} + 288358400 \cos^{21}{\left(a \right)} - 458752000 \cos^{19}{\left(a \right)} + 466944000 \cos^{17}{\left(a \right)} - 317521920 \cos^{15}{\left(a \right)} + 146227200 \cos^{13}{\left(a \right)} - 45260800 \cos^{11}{\left(a \right)} + 9152000 \cos^{9}{\left(a \right)} - 1144000 \cos^{7}{\left(a \right)} + 80080 \cos^{5}{\left(a \right)} - 2600 \cos^{3}{\left(a \right)} + 25 \cos{\left(a \right)} - 1} - \frac{288358400 \sin^{21}{\left(a \right)}}{16777216 \cos^{25}{\left(a \right)} - 104857600 \cos^{23}{\left(a \right)} + 288358400 \cos^{21}{\left(a \right)} - 458752000 \cos^{19}{\left(a \right)} + 466944000 \cos^{17}{\left(a \right)} - 317521920 \cos^{15}{\left(a \right)} + 146227200 \cos^{13}{\left(a \right)} - 45260800 \cos^{11}{\left(a \right)} + 9152000 \cos^{9}{\left(a \right)} - 1144000 \cos^{7}{\left(a \right)} + 80080 \cos^{5}{\left(a \right)} - 2600 \cos^{3}{\left(a \right)} + 25 \cos{\left(a \right)} - 1} + \frac{458752000 \sin^{19}{\left(a \right)}}{16777216 \cos^{25}{\left(a \right)} - 104857600 \cos^{23}{\left(a \right)} + 288358400 \cos^{21}{\left(a \right)} - 458752000 \cos^{19}{\left(a \right)} + 466944000 \cos^{17}{\left(a \right)} - 317521920 \cos^{15}{\left(a \right)} + 146227200 \cos^{13}{\left(a \right)} - 45260800 \cos^{11}{\left(a \right)} + 9152000 \cos^{9}{\left(a \right)} - 1144000 \cos^{7}{\left(a \right)} + 80080 \cos^{5}{\left(a \right)} - 2600 \cos^{3}{\left(a \right)} + 25 \cos{\left(a \right)} - 1} - \frac{466944000 \sin^{17}{\left(a \right)}}{16777216 \cos^{25}{\left(a \right)} - 104857600 \cos^{23}{\left(a \right)} + 288358400 \cos^{21}{\left(a \right)} - 458752000 \cos^{19}{\left(a \right)} + 466944000 \cos^{17}{\left(a \right)} - 317521920 \cos^{15}{\left(a \right)} + 146227200 \cos^{13}{\left(a \right)} - 45260800 \cos^{11}{\left(a \right)} + 9152000 \cos^{9}{\left(a \right)} - 1144000 \cos^{7}{\left(a \right)} + 80080 \cos^{5}{\left(a \right)} - 2600 \cos^{3}{\left(a \right)} + 25 \cos{\left(a \right)} - 1} + \frac{317521920 \sin^{15}{\left(a \right)}}{16777216 \cos^{25}{\left(a \right)} - 104857600 \cos^{23}{\left(a \right)} + 288358400 \cos^{21}{\left(a \right)} - 458752000 \cos^{19}{\left(a \right)} + 466944000 \cos^{17}{\left(a \right)} - 317521920 \cos^{15}{\left(a \right)} + 146227200 \cos^{13}{\left(a \right)} - 45260800 \cos^{11}{\left(a \right)} + 9152000 \cos^{9}{\left(a \right)} - 1144000 \cos^{7}{\left(a \right)} + 80080 \cos^{5}{\left(a \right)} - 2600 \cos^{3}{\left(a \right)} + 25 \cos{\left(a \right)} - 1} - \frac{146227200 \sin^{13}{\left(a \right)}}{16777216 \cos^{25}{\left(a \right)} - 104857600 \cos^{23}{\left(a \right)} + 288358400 \cos^{21}{\left(a \right)} - 458752000 \cos^{19}{\left(a \right)} + 466944000 \cos^{17}{\left(a \right)} - 317521920 \cos^{15}{\left(a \right)} + 146227200 \cos^{13}{\left(a \right)} - 45260800 \cos^{11}{\left(a \right)} + 9152000 \cos^{9}{\left(a \right)} - 1144000 \cos^{7}{\left(a \right)} + 80080 \cos^{5}{\left(a \right)} - 2600 \cos^{3}{\left(a \right)} + 25 \cos{\left(a \right)} - 1} + \frac{45260800 \sin^{11}{\left(a \right)}}{16777216 \cos^{25}{\left(a \right)} - 104857600 \cos^{23}{\left(a \right)} + 288358400 \cos^{21}{\left(a \right)} - 458752000 \cos^{19}{\left(a \right)} + 466944000 \cos^{17}{\left(a \right)} - 317521920 \cos^{15}{\left(a \right)} + 146227200 \cos^{13}{\left(a \right)} - 45260800 \cos^{11}{\left(a \right)} + 9152000 \cos^{9}{\left(a \right)} - 1144000 \cos^{7}{\left(a \right)} + 80080 \cos^{5}{\left(a \right)} - 2600 \cos^{3}{\left(a \right)} + 25 \cos{\left(a \right)} - 1} - \frac{9152000 \sin^{9}{\left(a \right)}}{16777216 \cos^{25}{\left(a \right)} - 104857600 \cos^{23}{\left(a \right)} + 288358400 \cos^{21}{\left(a \right)} - 458752000 \cos^{19}{\left(a \right)} + 466944000 \cos^{17}{\left(a \right)} - 317521920 \cos^{15}{\left(a \right)} + 146227200 \cos^{13}{\left(a \right)} - 45260800 \cos^{11}{\left(a \right)} + 9152000 \cos^{9}{\left(a \right)} - 1144000 \cos^{7}{\left(a \right)} + 80080 \cos^{5}{\left(a \right)} - 2600 \cos^{3}{\left(a \right)} + 25 \cos{\left(a \right)} - 1} + \frac{1144000 \sin^{7}{\left(a \right)}}{16777216 \cos^{25}{\left(a \right)} - 104857600 \cos^{23}{\left(a \right)} + 288358400 \cos^{21}{\left(a \right)} - 458752000 \cos^{19}{\left(a \right)} + 466944000 \cos^{17}{\left(a \right)} - 317521920 \cos^{15}{\left(a \right)} + 146227200 \cos^{13}{\left(a \right)} - 45260800 \cos^{11}{\left(a \right)} + 9152000 \cos^{9}{\left(a \right)} - 1144000 \cos^{7}{\left(a \right)} + 80080 \cos^{5}{\left(a \right)} - 2600 \cos^{3}{\left(a \right)} + 25 \cos{\left(a \right)} - 1} - \frac{80080 \sin^{5}{\left(a \right)}}{16777216 \cos^{25}{\left(a \right)} - 104857600 \cos^{23}{\left(a \right)} + 288358400 \cos^{21}{\left(a \right)} - 458752000 \cos^{19}{\left(a \right)} + 466944000 \cos^{17}{\left(a \right)} - 317521920 \cos^{15}{\left(a \right)} + 146227200 \cos^{13}{\left(a \right)} - 45260800 \cos^{11}{\left(a \right)} + 9152000 \cos^{9}{\left(a \right)} - 1144000 \cos^{7}{\left(a \right)} + 80080 \cos^{5}{\left(a \right)} - 2600 \cos^{3}{\left(a \right)} + 25 \cos{\left(a \right)} - 1} + \frac{2600 \sin^{3}{\left(a \right)}}{16777216 \cos^{25}{\left(a \right)} - 104857600 \cos^{23}{\left(a \right)} + 288358400 \cos^{21}{\left(a \right)} - 458752000 \cos^{19}{\left(a \right)} + 466944000 \cos^{17}{\left(a \right)} - 317521920 \cos^{15}{\left(a \right)} + 146227200 \cos^{13}{\left(a \right)} - 45260800 \cos^{11}{\left(a \right)} + 9152000 \cos^{9}{\left(a \right)} - 1144000 \cos^{7}{\left(a \right)} + 80080 \cos^{5}{\left(a \right)} - 2600 \cos^{3}{\left(a \right)} + 25 \cos{\left(a \right)} - 1} - \frac{25 \sin{\left(a \right)}}{16777216 \cos^{25}{\left(a \right)} - 104857600 \cos^{23}{\left(a \right)} + 288358400 \cos^{21}{\left(a \right)} - 458752000 \cos^{19}{\left(a \right)} + 466944000 \cos^{17}{\left(a \right)} - 317521920 \cos^{15}{\left(a \right)} + 146227200 \cos^{13}{\left(a \right)} - 45260800 \cos^{11}{\left(a \right)} + 9152000 \cos^{9}{\left(a \right)} - 1144000 \cos^{7}{\left(a \right)} + 80080 \cos^{5}{\left(a \right)} - 2600 \cos^{3}{\left(a \right)} + 25 \cos{\left(a \right)} - 1} + \frac{\tan{\left(a \right)} \cot^{2}{\left(a \right)}}{- \tan^{2}{\left(a \right)} \cot{\left(a \right)} + \cot{\left(a \right)}} - \frac{\tan{\left(a \right)}}{- \tan^{2}{\left(a \right)} \cot{\left(a \right)} + \cot{\left(a \right)}} 
-tan(a)/(-tan(a)^2*cot(a) + cot(a)) - 466944000*sin(a)^17/(-1 - 458752000*cos(a)^19 - 317521920*cos(a)^15 - 104857600*cos(a)^23 - 45260800*cos(a)^11 - 1144000*cos(a)^7 - 2600*cos(a)^3 + 25*cos(a) + 80080*cos(a)^5 + 9152000*cos(a)^9 + 16777216*cos(a)^25 + 146227200*cos(a)^13 + 288358400*cos(a)^21 + 466944000*cos(a)^17) - 288358400*sin(a)^21/(-1 - 458752000*cos(a)^19 - 317521920*cos(a)^15 - 104857600*cos(a)^23 - 45260800*cos(a)^11 - 1144000*cos(a)^7 - 2600*cos(a)^3 + 25*cos(a) + 80080*cos(a)^5 + 9152000*cos(a)^9 + 16777216*cos(a)^25 + 146227200*cos(a)^13 + 288358400*cos(a)^21 + 466944000*cos(a)^17) - 146227200*sin(a)^13/(-1 - 458752000*cos(a)^19 - 317521920*cos(a)^15 - 104857600*cos(a)^23 - 45260800*cos(a)^11 - 1144000*cos(a)^7 - 2600*cos(a)^3 + 25*cos(a) + 80080*cos(a)^5 + 9152000*cos(a)^9 + 16777216*cos(a)^25 + 146227200*cos(a)^13 + 288358400*cos(a)^21 + 466944000*cos(a)^17) - 16777216*sin(a)^25/(-1 - 458752000*cos(a)^19 - 317521920*cos(a)^15 - 104857600*cos(a)^23 - 45260800*cos(a)^11 - 1144000*cos(a)^7 - 2600*cos(a)^3 + 25*cos(a) + 80080*cos(a)^5 + 9152000*cos(a)^9 + 16777216*cos(a)^25 + 146227200*cos(a)^13 + 288358400*cos(a)^21 + 466944000*cos(a)^17) - 9152000*sin(a)^9/(-1 - 458752000*cos(a)^19 - 317521920*cos(a)^15 - 104857600*cos(a)^23 - 45260800*cos(a)^11 - 1144000*cos(a)^7 - 2600*cos(a)^3 + 25*cos(a) + 80080*cos(a)^5 + 9152000*cos(a)^9 + 16777216*cos(a)^25 + 146227200*cos(a)^13 + 288358400*cos(a)^21 + 466944000*cos(a)^17) - 80080*sin(a)^5/(-1 - 458752000*cos(a)^19 - 317521920*cos(a)^15 - 104857600*cos(a)^23 - 45260800*cos(a)^11 - 1144000*cos(a)^7 - 2600*cos(a)^3 + 25*cos(a) + 80080*cos(a)^5 + 9152000*cos(a)^9 + 16777216*cos(a)^25 + 146227200*cos(a)^13 + 288358400*cos(a)^21 + 466944000*cos(a)^17) - 25*sin(a)/(-1 - 458752000*cos(a)^19 - 317521920*cos(a)^15 - 104857600*cos(a)^23 - 45260800*cos(a)^11 - 1144000*cos(a)^7 - 2600*cos(a)^3 + 25*cos(a) + 80080*cos(a)^5 + 9152000*cos(a)^9 + 16777216*cos(a)^25 + 146227200*cos(a)^13 + 288358400*cos(a)^21 + 466944000*cos(a)^17) + 2600*sin(a)^3/(-1 - 458752000*cos(a)^19 - 317521920*cos(a)^15 - 104857600*cos(a)^23 - 45260800*cos(a)^11 - 1144000*cos(a)^7 - 2600*cos(a)^3 + 25*cos(a) + 80080*cos(a)^5 + 9152000*cos(a)^9 + 16777216*cos(a)^25 + 146227200*cos(a)^13 + 288358400*cos(a)^21 + 466944000*cos(a)^17) + 1144000*sin(a)^7/(-1 - 458752000*cos(a)^19 - 317521920*cos(a)^15 - 104857600*cos(a)^23 - 45260800*cos(a)^11 - 1144000*cos(a)^7 - 2600*cos(a)^3 + 25*cos(a) + 80080*cos(a)^5 + 9152000*cos(a)^9 + 16777216*cos(a)^25 + 146227200*cos(a)^13 + 288358400*cos(a)^21 + 466944000*cos(a)^17) + 45260800*sin(a)^11/(-1 - 458752000*cos(a)^19 - 317521920*cos(a)^15 - 104857600*cos(a)^23 - 45260800*cos(a)^11 - 1144000*cos(a)^7 - 2600*cos(a)^3 + 25*cos(a) + 80080*cos(a)^5 + 9152000*cos(a)^9 + 16777216*cos(a)^25 + 146227200*cos(a)^13 + 288358400*cos(a)^21 + 466944000*cos(a)^17) + 104857600*sin(a)^23/(-1 - 458752000*cos(a)^19 - 317521920*cos(a)^15 - 104857600*cos(a)^23 - 45260800*cos(a)^11 - 1144000*cos(a)^7 - 2600*cos(a)^3 + 25*cos(a) + 80080*cos(a)^5 + 9152000*cos(a)^9 + 16777216*cos(a)^25 + 146227200*cos(a)^13 + 288358400*cos(a)^21 + 466944000*cos(a)^17) + 317521920*sin(a)^15/(-1 - 458752000*cos(a)^19 - 317521920*cos(a)^15 - 104857600*cos(a)^23 - 45260800*cos(a)^11 - 1144000*cos(a)^7 - 2600*cos(a)^3 + 25*cos(a) + 80080*cos(a)^5 + 9152000*cos(a)^9 + 16777216*cos(a)^25 + 146227200*cos(a)^13 + 288358400*cos(a)^21 + 466944000*cos(a)^17) + 458752000*sin(a)^19/(-1 - 458752000*cos(a)^19 - 317521920*cos(a)^15 - 104857600*cos(a)^23 - 45260800*cos(a)^11 - 1144000*cos(a)^7 - 2600*cos(a)^3 + 25*cos(a) + 80080*cos(a)^5 + 9152000*cos(a)^9 + 16777216*cos(a)^25 + 146227200*cos(a)^13 + 288358400*cos(a)^21 + 466944000*cos(a)^17) + cot(a)^2*tan(a)/(-tan(a)^2*cot(a) + cot(a))
Parte trigonométrica [src] 
       /       pi\
    cos|25*a - --|
       \       2 /
1 - --------------
    -1 + cos(25*a)
1−cos⁡(25a−π2)cos⁡(25a)−11 - \frac{\cos{\left(25 a - \frac{\pi}{2} \right)}}{\cos{\left(25 a \right)} - 1} 
                   1               
1 - -------------------------------
    /         1    \    /       pi\
    |-1 + ---------|*sec|25*a - --|
    \     sec(25*a)/    \       2 /
1−1(−1+1sec⁡(25a))sec⁡(25a−π2)1 - \frac{1}{\left(-1 + \frac{1}{\sec{\left(25 a \right)}}\right) \sec{\left(25 a - \frac{\pi}{2} \right)}} 
                      /25*a\              
                 2*tan|----|              
                      \ 2  /              
1 - --------------------------------------
                     /            2/25*a\\
                     |     1 - tan |----||
    /       2/25*a\\ |             \ 2  /|
    |1 + tan |----||*|-1 + --------------|
    \        \ 2  // |            2/25*a\|
                     |     1 + tan |----||
                     \             \ 2  //
1−2tan⁡(25a2)(1−tan⁡2(25a2)tan⁡2(25a2)+1−1)(tan⁡2(25a2)+1)1 - \frac{2 \tan{\left(\frac{25 a}{2} \right)}}{\left(\frac{1 - \tan^{2}{\left(\frac{25 a}{2} \right)}}{\tan^{2}{\left(\frac{25 a}{2} \right)} + 1} - 1\right) \left(\tan^{2}{\left(\frac{25 a}{2} \right)} + 1\right)} 
                   1               
1 - -------------------------------
    /           1       \          
    |-1 + --------------|*csc(25*a)
    |        /pi       \|          
    |     csc|-- - 25*a||          
    \        \2        //
1−1(−1+1csc⁡(−25a+π2))csc⁡(25a)1 - \frac{1}{\left(-1 + \frac{1}{\csc{\left(- 25 a + \frac{\pi}{2} \right)}}\right) \csc{\left(25 a \right)}} 
      sin(25*a)  
1 - -------------
    cos(25*a) - 1
1−sin⁡(25a)cos⁡(25a)−11 - \frac{\sin{\left(25 a \right)}}{\cos{\left(25 a \right)} - 1} 
                       /25*a\              
                  2*cot|----|              
                       \ 2  /              
1 - ---------------------------------------
                     /             2/25*a\\
                     |     -1 + cot |----||
    /       2/25*a\\ |              \ 2  /|
    |1 + cot |----||*|-1 + ---------------|
    \        \ 2  // |             2/25*a\|
                     |      1 + cot |----||
                     \              \ 2  //
1−2cot⁡(25a2)(cot⁡2(25a2)−1cot⁡2(25a2)+1−1)(cot⁡2(25a2)+1)1 - \frac{2 \cot{\left(\frac{25 a}{2} \right)}}{\left(\frac{\cot^{2}{\left(\frac{25 a}{2} \right)} - 1}{\cot^{2}{\left(\frac{25 a}{2} \right)} + 1} - 1\right) \left(\cot^{2}{\left(\frac{25 a}{2} \right)} + 1\right)} 
         sin(25*a)     
1 - -------------------
            /pi       \
    -1 + sin|-- + 25*a|
            \2        /
1−sin⁡(25a)sin⁡(25a+π2)−11 - \frac{\sin{\left(25 a \right)}}{\sin{\left(25 a + \frac{\pi}{2} \right)} - 1} 
      sin(25*a)   
1 - --------------
    -1 + cos(25*a)
1−sin⁡(25a)cos⁡(25a)−11 - \frac{\sin{\left(25 a \right)}}{\cos{\left(25 a \right)} - 1} 
                1             
1 - --------------------------
    /         1    \          
    |-1 + ---------|*csc(25*a)
    \     sec(25*a)/
1−1(−1+1sec⁡(25a))csc⁡(25a)1 - \frac{1}{\left(-1 + \frac{1}{\sec{\left(25 a \right)}}\right) \csc{\left(25 a \right)}} 
1 - 1/((-1 + 1/sec(25*a))*csc(25*a))
Combinatoria [src] 
-sin(25*a) - cot(2*a)*tan(2*a) + cos(25*a)*cot(2*a)*tan(2*a)
------------------------------------------------------------
                       -1 + cos(25*a)
−sin⁡(25a)+cos⁡(25a)tan⁡(2a)cot⁡(2a)−tan⁡(2a)cot⁡(2a)cos⁡(25a)−1\frac{- \sin{\left(25 a \right)} + \cos{\left(25 a \right)} \tan{\left(2 a \right)} \cot{\left(2 a \right)} - \tan{\left(2 a \right)} \cot{\left(2 a \right)}}{\cos{\left(25 a \right)} - 1} 
(-sin(25*a) - cot(2*a)*tan(2*a) + cos(25*a)*cot(2*a)*tan(2*a))/(-1 + cos(25*a))
    © Sr Examen – Калькулятор