y=c(secx+tanx) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
// 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))/
y1=i((cos(2re(x))+cosh(2im(x))sin(2re(x))+sin2(re(x))sinh2(im(x))+cos2(re(x))cosh2(im(x))cos(re(x))cosh(im(x)))im(c)+(cos(2re(x))+cosh(2im(x))sinh(2im(x))+sin2(re(x))sinh2(im(x))+cos2(re(x))cosh2(im(x))sin(re(x))sinh(im(x)))re(c))+(cos(2re(x))+cosh(2im(x))sin(2re(x))+sin2(re(x))sinh2(im(x))+cos2(re(x))cosh2(im(x))cos(re(x))cosh(im(x)))re(c)−(cos(2re(x))+cosh(2im(x))sinh(2im(x))+sin2(re(x))sinh2(im(x))+cos2(re(x))cosh2(im(x))sin(re(x))sinh(im(x)))im(c)
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]
// 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((cos(2re(x))+cosh(2im(x))sin(2re(x))+sin2(re(x))sinh2(im(x))+cos2(re(x))cosh2(im(x))cos(re(x))cosh(im(x)))im(c)+(cos(2re(x))+cosh(2im(x))sinh(2im(x))+sin2(re(x))sinh2(im(x))+cos2(re(x))cosh2(im(x))sin(re(x))sinh(im(x)))re(c))+(cos(2re(x))+cosh(2im(x))sin(2re(x))+sin2(re(x))sinh2(im(x))+cos2(re(x))cosh2(im(x))cos(re(x))cosh(im(x)))re(c)−(cos(2re(x))+cosh(2im(x))sinh(2im(x))+sin2(re(x))sinh2(im(x))+cos2(re(x))cosh2(im(x))sin(re(x))sinh(im(x)))im(c)
// 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((cos(2re(x))+cosh(2im(x))sin(2re(x))+sin2(re(x))sinh2(im(x))+cos2(re(x))cosh2(im(x))cos(re(x))cosh(im(x)))im(c)+(cos(2re(x))+cosh(2im(x))sinh(2im(x))+sin2(re(x))sinh2(im(x))+cos2(re(x))cosh2(im(x))sin(re(x))sinh(im(x)))re(c))+(cos(2re(x))+cosh(2im(x))sin(2re(x))+sin2(re(x))sinh2(im(x))+cos2(re(x))cosh2(im(x))cos(re(x))cosh(im(x)))re(c)−(cos(2re(x))+cosh(2im(x))sinh(2im(x))+sin2(re(x))sinh2(im(x))+cos2(re(x))cosh2(im(x))sin(re(x))sinh(im(x)))im(c)
// 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((cos(2re(x))+cosh(2im(x))sin(2re(x))+sin2(re(x))sinh2(im(x))+cos2(re(x))cosh2(im(x))cos(re(x))cosh(im(x)))im(c)+(cos(2re(x))+cosh(2im(x))sinh(2im(x))+sin2(re(x))sinh2(im(x))+cos2(re(x))cosh2(im(x))sin(re(x))sinh(im(x)))re(c))+(cos(2re(x))+cosh(2im(x))sin(2re(x))+sin2(re(x))sinh2(im(x))+cos2(re(x))cosh2(im(x))cos(re(x))cosh(im(x)))re(c)−(cos(2re(x))+cosh(2im(x))sinh(2im(x))+sin2(re(x))sinh2(im(x))+cos2(re(x))cosh2(im(x))sin(re(x))sinh(im(x)))im(c)
/// 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)))
(sin2(re(x))sinh2(im(x))+cos2(re(x))cosh2(im(x)))(cos(2re(x))+cosh(2im(x)))i(((sin2(re(x))sinh2(im(x))+cos2(re(x))cosh2(im(x)))sin(2re(x))+(cos(2re(x))+cosh(2im(x)))cos(re(x))cosh(im(x)))im(c)+((sin2(re(x))sinh2(im(x))+cos2(re(x))cosh2(im(x)))sinh(2im(x))+(cos(2re(x))+cosh(2im(x)))sin(re(x))sinh(im(x)))re(c))+((sin2(re(x))sinh2(im(x))+cos2(re(x))cosh2(im(x)))sin(2re(x))+(cos(2re(x))+cosh(2im(x)))cos(re(x))cosh(im(x)))re(c)−((sin2(re(x))sinh2(im(x))+cos2(re(x))cosh2(im(x)))sinh(2im(x))+(cos(2re(x))+cosh(2im(x)))sin(re(x))sinh(im(x)))im(c)
(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))))