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¿Cómo vas a descomponer esta ln(5)+((3.5*5^2+1)/(cos(2*3))) expresión en fracciones?

Expresión a simplificar:

Solución

Ha introducido [src]
         7*25    
         ---- + 1
          2      
log(5) + --------
          cos(6) 
$$\log{\left(5 \right)} + \frac{1 + \frac{7 \cdot 25}{2}}{\cos{\left(6 \right)}}$$
log(5) + (7*25/2 + 1)/cos(6)
Simplificación general [src]
  177            
-------- + log(5)
2*cos(6)         
$$\log{\left(5 \right)} + \frac{177}{2 \cos{\left(6 \right)}}$$
177/(2*cos(6)) + log(5)
Respuesta numérica [src]
93.7805884161011
93.7805884161011
Combinatoria [src]
177 + 2*cos(6)*log(5)
---------------------
       2*cos(6)      
$$\frac{2 \log{\left(5 \right)} \cos{\left(6 \right)} + 177}{2 \cos{\left(6 \right)}}$$
(177 + 2*cos(6)*log(5))/(2*cos(6))
Potencias [src]
  177            
-------- + log(5)
2*cos(6)         
$$\log{\left(5 \right)} + \frac{177}{2 \cos{\left(6 \right)}}$$
      177                
---------------- + log(5)
  / -6*I    6*I\         
  |e       e   |         
2*|----- + ----|         
  \  2      2  /         
$$\log{\left(5 \right)} + \frac{177}{2 \left(\frac{e^{6 i}}{2} + \frac{e^{- 6 i}}{2}\right)}$$
177/(2*(exp(-6*i)/2 + exp(6*i)/2)) + log(5)
Unión de expresiones racionales [src]
177 + 2*cos(6)*log(5)
---------------------
       2*cos(6)      
$$\frac{2 \log{\left(5 \right)} \cos{\left(6 \right)} + 177}{2 \cos{\left(6 \right)}}$$
(177 + 2*cos(6)*log(5))/(2*cos(6))
Denominador común [src]
  177            
-------- + log(5)
2*cos(6)         
$$\log{\left(5 \right)} + \frac{177}{2 \cos{\left(6 \right)}}$$
177/(2*cos(6)) + log(5)
Abrimos la expresión [src]
                     177                              
--------------------------------------------- + log(5)
  /           4            2            6   \         
2*\-1 - 48*cos (1) + 18*cos (1) + 32*cos (1)/         
$$\log{\left(5 \right)} + \frac{177}{2 \left(- 48 \cos^{4}{\left(1 \right)} - 1 + 32 \cos^{6}{\left(1 \right)} + 18 \cos^{2}{\left(1 \right)}\right)}$$
177/(2*(-1 - 48*cos(1)^4 + 18*cos(1)^2 + 32*cos(1)^6)) + log(5)
Parte trigonométrica [src]
177*sec(6)         
---------- + log(5)
    2              
$$\log{\left(5 \right)} + \frac{177 \sec{\left(6 \right)}}{2}$$
    /       2   \         
177*\1 + tan (3)/         
----------------- + log(5)
   /       2   \          
 2*\1 - tan (3)/          
$$\log{\left(5 \right)} + \frac{177 \left(\tan^{2}{\left(3 \right)} + 1\right)}{2 \left(1 - \tan^{2}{\left(3 \right)}\right)}$$
    /       2   \         
177*\1 + cot (3)/         
----------------- + log(5)
   /        2   \         
 2*\-1 + cot (3)/         
$$\log{\left(5 \right)} + \frac{177 \left(1 + \cot^{2}{\left(3 \right)}\right)}{2 \left(-1 + \cot^{2}{\left(3 \right)}\right)}$$
       /     pi\         
177*csc|-6 + --|         
       \     2 /         
---------------- + log(5)
       2                 
$$\log{\left(5 \right)} + \frac{177 \csc{\left(-6 + \frac{\pi}{2} \right)}}{2}$$
  177            
-------- + log(5)
2*cos(6)         
$$\log{\left(5 \right)} + \frac{177}{2 \cos{\left(6 \right)}}$$
     177              
------------- + log(5)
     /    pi\         
2*sin|6 + --|         
     \    2 /         
$$\log{\left(5 \right)} + \frac{177}{2 \sin{\left(\frac{\pi}{2} + 6 \right)}}$$
177/(2*sin(6 + pi/2)) + log(5)
Denominador racional [src]
177 + 2*cos(6)*log(5)
---------------------
       2*cos(6)      
$$\frac{2 \log{\left(5 \right)} \cos{\left(6 \right)} + 177}{2 \cos{\left(6 \right)}}$$
(177 + 2*cos(6)*log(5))/(2*cos(6))