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- La ecuación:
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Ecuación 3*x^2-x+2=0
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Ecuación 1-x/2=x/3
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Ecuación 3*x^2-9=0
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Ecuación 0,084:(6,2-x)=1,2
- Expresar {x} en función de y en la ecuación:
- 4*x-1*y=-3
- -11*x+9*y=-20
- -17*x+2*y=9
- 10*x-15*y=16
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Expresiones idénticas
- y=c(secx+tanx)
- y es igual a c(secx más tangente de x)
- y=csecx+tanx
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Expresiones semejantes
- y=c(secx-tanx)
y=c(secx+tanx) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
y = c*(sec(x) + tan(x))
$$y = c \left(\tan{\left(x \right)} + \sec{\left(x \right)}\right)$$
Gráfica
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))))