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y=c(secx+tanx) la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
y = c*(sec(x) + tan(x))
$$y = c \left(\tan{\left(x \right)} + \sec{\left(x \right)}\right)$$
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Respuesta rápida [src] 
       //        sin(2*re(x))                          cos(re(x))*cosh(im(x))              \         /       sinh(2*im(x))                          sin(re(x))*sinh(im(x))              \      \   /        sin(2*re(x))                          cos(re(x))*cosh(im(x))              \         /       sinh(2*im(x))                          sin(re(x))*sinh(im(x))              \      
y1 = I*||---------------------------- + ---------------------------------------------------|*im(c) + |---------------------------- + ---------------------------------------------------|*re(c)| + |---------------------------- + ---------------------------------------------------|*re(c) - |---------------------------- + ---------------------------------------------------|*im(c)
       ||cos(2*re(x)) + cosh(2*im(x))      2            2             2            2       |         |cos(2*re(x)) + cosh(2*im(x))      2            2             2            2       |      |   |cos(2*re(x)) + cosh(2*im(x))      2            2             2            2       |         |cos(2*re(x)) + cosh(2*im(x))      2            2             2            2       |      
       \\                               cos (re(x))*cosh (im(x)) + sin (re(x))*sinh (im(x))/         \                               cos (re(x))*cosh (im(x)) + sin (re(x))*sinh (im(x))/      /   \                               cos (re(x))*cosh (im(x)) + sin (re(x))*sinh (im(x))/         \                               cos (re(x))*cosh (im(x)) + sin (re(x))*sinh (im(x))/
$$y_{1} = i \left(\left(\frac{\sin{\left(2 \operatorname{re}{\left(x\right)} \right)}}{\cos{\left(2 \operatorname{re}{\left(x\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(x\right)} \right)}} + \frac{\cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}}{\sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}}\right) \operatorname{im}{\left(c\right)} + \left(\frac{\sinh{\left(2 \operatorname{im}{\left(x\right)} \right)}}{\cos{\left(2 \operatorname{re}{\left(x\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(x\right)} \right)}} + \frac{\sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)}}{\sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}}\right) \operatorname{re}{\left(c\right)}\right) + \left(\frac{\sin{\left(2 \operatorname{re}{\left(x\right)} \right)}}{\cos{\left(2 \operatorname{re}{\left(x\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(x\right)} \right)}} + \frac{\cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}}{\sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}}\right) \operatorname{re}{\left(c\right)} - \left(\frac{\sinh{\left(2 \operatorname{im}{\left(x\right)} \right)}}{\cos{\left(2 \operatorname{re}{\left(x\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(x\right)} \right)}} + \frac{\sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)}}{\sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}}\right) \operatorname{im}{\left(c\right)}$$ 
y1 = i*((sin(2*re(x))/(cos(2*re(x)) + cosh(2*im(x))) + cos(re(x))*cosh(im(x))/(sin(re(x))^2*sinh(im(x))^2 + cos(re(x))^2*cosh(im(x))^2))*im(c) + (sinh(2*im(x))/(cos(2*re(x)) + cosh(2*im(x))) + sin(re(x))*sinh(im(x))/(sin(re(x))^2*sinh(im(x))^2 + cos(re(x))^2*cosh(im(x))^2))*re(c)) + (sin(2*re(x))/(cos(2*re(x)) + cosh(2*im(x))) + cos(re(x))*cosh(im(x))/(sin(re(x))^2*sinh(im(x))^2 + cos(re(x))^2*cosh(im(x))^2))*re(c) - (sinh(2*im(x))/(cos(2*re(x)) + cosh(2*im(x))) + sin(re(x))*sinh(im(x))/(sin(re(x))^2*sinh(im(x))^2 + cos(re(x))^2*cosh(im(x))^2))*im(c)
Suma y producto de raíces [src] 
suma
  //        sin(2*re(x))                          cos(re(x))*cosh(im(x))              \         /       sinh(2*im(x))                          sin(re(x))*sinh(im(x))              \      \   /        sin(2*re(x))                          cos(re(x))*cosh(im(x))              \         /       sinh(2*im(x))                          sin(re(x))*sinh(im(x))              \      
I*||---------------------------- + ---------------------------------------------------|*im(c) + |---------------------------- + ---------------------------------------------------|*re(c)| + |---------------------------- + ---------------------------------------------------|*re(c) - |---------------------------- + ---------------------------------------------------|*im(c)
  ||cos(2*re(x)) + cosh(2*im(x))      2            2             2            2       |         |cos(2*re(x)) + cosh(2*im(x))      2            2             2            2       |      |   |cos(2*re(x)) + cosh(2*im(x))      2            2             2            2       |         |cos(2*re(x)) + cosh(2*im(x))      2            2             2            2       |      
  \\                               cos (re(x))*cosh (im(x)) + sin (re(x))*sinh (im(x))/         \                               cos (re(x))*cosh (im(x)) + sin (re(x))*sinh (im(x))/      /   \                               cos (re(x))*cosh (im(x)) + sin (re(x))*sinh (im(x))/         \                               cos (re(x))*cosh (im(x)) + sin (re(x))*sinh (im(x))/
$$i \left(\left(\frac{\sin{\left(2 \operatorname{re}{\left(x\right)} \right)}}{\cos{\left(2 \operatorname{re}{\left(x\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(x\right)} \right)}} + \frac{\cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}}{\sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}}\right) \operatorname{im}{\left(c\right)} + \left(\frac{\sinh{\left(2 \operatorname{im}{\left(x\right)} \right)}}{\cos{\left(2 \operatorname{re}{\left(x\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(x\right)} \right)}} + \frac{\sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)}}{\sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}}\right) \operatorname{re}{\left(c\right)}\right) + \left(\frac{\sin{\left(2 \operatorname{re}{\left(x\right)} \right)}}{\cos{\left(2 \operatorname{re}{\left(x\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(x\right)} \right)}} + \frac{\cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}}{\sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}}\right) \operatorname{re}{\left(c\right)} - \left(\frac{\sinh{\left(2 \operatorname{im}{\left(x\right)} \right)}}{\cos{\left(2 \operatorname{re}{\left(x\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(x\right)} \right)}} + \frac{\sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)}}{\sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}}\right) \operatorname{im}{\left(c\right)}$$ 
=
  //        sin(2*re(x))                          cos(re(x))*cosh(im(x))              \         /       sinh(2*im(x))                          sin(re(x))*sinh(im(x))              \      \   /        sin(2*re(x))                          cos(re(x))*cosh(im(x))              \         /       sinh(2*im(x))                          sin(re(x))*sinh(im(x))              \      
I*||---------------------------- + ---------------------------------------------------|*im(c) + |---------------------------- + ---------------------------------------------------|*re(c)| + |---------------------------- + ---------------------------------------------------|*re(c) - |---------------------------- + ---------------------------------------------------|*im(c)
  ||cos(2*re(x)) + cosh(2*im(x))      2            2             2            2       |         |cos(2*re(x)) + cosh(2*im(x))      2            2             2            2       |      |   |cos(2*re(x)) + cosh(2*im(x))      2            2             2            2       |         |cos(2*re(x)) + cosh(2*im(x))      2            2             2            2       |      
  \\                               cos (re(x))*cosh (im(x)) + sin (re(x))*sinh (im(x))/         \                               cos (re(x))*cosh (im(x)) + sin (re(x))*sinh (im(x))/      /   \                               cos (re(x))*cosh (im(x)) + sin (re(x))*sinh (im(x))/         \                               cos (re(x))*cosh (im(x)) + sin (re(x))*sinh (im(x))/
$$i \left(\left(\frac{\sin{\left(2 \operatorname{re}{\left(x\right)} \right)}}{\cos{\left(2 \operatorname{re}{\left(x\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(x\right)} \right)}} + \frac{\cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}}{\sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}}\right) \operatorname{im}{\left(c\right)} + \left(\frac{\sinh{\left(2 \operatorname{im}{\left(x\right)} \right)}}{\cos{\left(2 \operatorname{re}{\left(x\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(x\right)} \right)}} + \frac{\sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)}}{\sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}}\right) \operatorname{re}{\left(c\right)}\right) + \left(\frac{\sin{\left(2 \operatorname{re}{\left(x\right)} \right)}}{\cos{\left(2 \operatorname{re}{\left(x\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(x\right)} \right)}} + \frac{\cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}}{\sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}}\right) \operatorname{re}{\left(c\right)} - \left(\frac{\sinh{\left(2 \operatorname{im}{\left(x\right)} \right)}}{\cos{\left(2 \operatorname{re}{\left(x\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(x\right)} \right)}} + \frac{\sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)}}{\sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}}\right) \operatorname{im}{\left(c\right)}$$ 
producto
  //        sin(2*re(x))                          cos(re(x))*cosh(im(x))              \         /       sinh(2*im(x))                          sin(re(x))*sinh(im(x))              \      \   /        sin(2*re(x))                          cos(re(x))*cosh(im(x))              \         /       sinh(2*im(x))                          sin(re(x))*sinh(im(x))              \      
I*||---------------------------- + ---------------------------------------------------|*im(c) + |---------------------------- + ---------------------------------------------------|*re(c)| + |---------------------------- + ---------------------------------------------------|*re(c) - |---------------------------- + ---------------------------------------------------|*im(c)
  ||cos(2*re(x)) + cosh(2*im(x))      2            2             2            2       |         |cos(2*re(x)) + cosh(2*im(x))      2            2             2            2       |      |   |cos(2*re(x)) + cosh(2*im(x))      2            2             2            2       |         |cos(2*re(x)) + cosh(2*im(x))      2            2             2            2       |      
  \\                               cos (re(x))*cosh (im(x)) + sin (re(x))*sinh (im(x))/         \                               cos (re(x))*cosh (im(x)) + sin (re(x))*sinh (im(x))/      /   \                               cos (re(x))*cosh (im(x)) + sin (re(x))*sinh (im(x))/         \                               cos (re(x))*cosh (im(x)) + sin (re(x))*sinh (im(x))/
$$i \left(\left(\frac{\sin{\left(2 \operatorname{re}{\left(x\right)} \right)}}{\cos{\left(2 \operatorname{re}{\left(x\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(x\right)} \right)}} + \frac{\cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}}{\sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}}\right) \operatorname{im}{\left(c\right)} + \left(\frac{\sinh{\left(2 \operatorname{im}{\left(x\right)} \right)}}{\cos{\left(2 \operatorname{re}{\left(x\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(x\right)} \right)}} + \frac{\sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)}}{\sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}}\right) \operatorname{re}{\left(c\right)}\right) + \left(\frac{\sin{\left(2 \operatorname{re}{\left(x\right)} \right)}}{\cos{\left(2 \operatorname{re}{\left(x\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(x\right)} \right)}} + \frac{\cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}}{\sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}}\right) \operatorname{re}{\left(c\right)} - \left(\frac{\sinh{\left(2 \operatorname{im}{\left(x\right)} \right)}}{\cos{\left(2 \operatorname{re}{\left(x\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(x\right)} \right)}} + \frac{\sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)}}{\sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}}\right) \operatorname{im}{\left(c\right)}$$ 
=
  ///   2            2             2            2       \                                                                     \         //   2            2             2            2       \                                                                      \      \   //   2            2             2            2       \                                                                     \         //   2            2             2            2       \                                                                      \      
I*\\\cos (re(x))*cosh (im(x)) + sin (re(x))*sinh (im(x))/*sin(2*re(x)) + (cos(2*re(x)) + cosh(2*im(x)))*cos(re(x))*cosh(im(x))/*im(c) + \\cos (re(x))*cosh (im(x)) + sin (re(x))*sinh (im(x))/*sinh(2*im(x)) + (cos(2*re(x)) + cosh(2*im(x)))*sin(re(x))*sinh(im(x))/*re(c)/ + \\cos (re(x))*cosh (im(x)) + sin (re(x))*sinh (im(x))/*sin(2*re(x)) + (cos(2*re(x)) + cosh(2*im(x)))*cos(re(x))*cosh(im(x))/*re(c) - \\cos (re(x))*cosh (im(x)) + sin (re(x))*sinh (im(x))/*sinh(2*im(x)) + (cos(2*re(x)) + cosh(2*im(x)))*sin(re(x))*sinh(im(x))/*im(c)
-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                                                                                                                                                                                  /   2            2             2            2       \                                                                                                                                                                                                                                                                
                                                                                                                                                                                                                                  \cos (re(x))*cosh (im(x)) + sin (re(x))*sinh (im(x))/*(cos(2*re(x)) + cosh(2*im(x)))
$$\frac{i \left(\left(\left(\sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}\right) \sin{\left(2 \operatorname{re}{\left(x\right)} \right)} + \left(\cos{\left(2 \operatorname{re}{\left(x\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(x\right)} \right)}\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}\right) \operatorname{im}{\left(c\right)} + \left(\left(\sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}\right) \sinh{\left(2 \operatorname{im}{\left(x\right)} \right)} + \left(\cos{\left(2 \operatorname{re}{\left(x\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(x\right)} \right)}\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)}\right) \operatorname{re}{\left(c\right)}\right) + \left(\left(\sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}\right) \sin{\left(2 \operatorname{re}{\left(x\right)} \right)} + \left(\cos{\left(2 \operatorname{re}{\left(x\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(x\right)} \right)}\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}\right) \operatorname{re}{\left(c\right)} - \left(\left(\sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}\right) \sinh{\left(2 \operatorname{im}{\left(x\right)} \right)} + \left(\cos{\left(2 \operatorname{re}{\left(x\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(x\right)} \right)}\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)}\right) \operatorname{im}{\left(c\right)}}{\left(\sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}\right) \left(\cos{\left(2 \operatorname{re}{\left(x\right)} \right)} + \cosh{\left(2 \operatorname{im}{\left(x\right)} \right)}\right)}$$ 
(i*(((cos(re(x))^2*cosh(im(x))^2 + sin(re(x))^2*sinh(im(x))^2)*sin(2*re(x)) + (cos(2*re(x)) + cosh(2*im(x)))*cos(re(x))*cosh(im(x)))*im(c) + ((cos(re(x))^2*cosh(im(x))^2 + sin(re(x))^2*sinh(im(x))^2)*sinh(2*im(x)) + (cos(2*re(x)) + cosh(2*im(x)))*sin(re(x))*sinh(im(x)))*re(c)) + ((cos(re(x))^2*cosh(im(x))^2 + sin(re(x))^2*sinh(im(x))^2)*sin(2*re(x)) + (cos(2*re(x)) + cosh(2*im(x)))*cos(re(x))*cosh(im(x)))*re(c) - ((cos(re(x))^2*cosh(im(x))^2 + sin(re(x))^2*sinh(im(x))^2)*sinh(2*im(x)) + (cos(2*re(x)) + cosh(2*im(x)))*sin(re(x))*sinh(im(x)))*im(c))/((cos(re(x))^2*cosh(im(x))^2 + sin(re(x))^2*sinh(im(x))^2)*(cos(2*re(x)) + cosh(2*im(x))))
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