asin(y)=Const+log(x-1)/2-log(x+1)/2 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
cosh(-re(asin(y)) + re(c))*sinh(-re(asin(y)) + re(c)) I*cos(-im(asin(y)) + im(c))*sin(-im(asin(y)) + im(c))
x1 = -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
/ 2 2 2 2 \ / 2 2 2 2 \
/ 2 2 \ | cos (-im(asin(y)) + im(c))*sin (-im(asin(y)) + im(c)) cosh (-re(asin(y)) + re(c))*sinh (-re(asin(y)) + re(c)) | / 2 2 \ | cos (-im(asin(y)) + im(c))*sin (-im(asin(y)) + im(c)) cosh (-re(asin(y)) + re(c))*sinh (-re(asin(y)) + re(c)) |
\cos (-im(asin(y)) + im(c)) + sinh (-re(asin(y)) + re(c))/*|----------------------------------------------------------- + -----------------------------------------------------------| \cos (-im(asin(y)) + im(c)) + sinh (-re(asin(y)) + re(c))/*|----------------------------------------------------------- + -----------------------------------------------------------|
| 2 2| | 2 2|
|/ 2 2 \ / 2 2 \ | |/ 2 2 \ / 2 2 \ |
\\cos (-im(asin(y)) + im(c)) + sinh (-re(asin(y)) + re(c))/ \cos (-im(asin(y)) + im(c)) + sinh (-re(asin(y)) + re(c))/ / \\cos (-im(asin(y)) + im(c)) + sinh (-re(asin(y)) + re(c))/ \cos (-im(asin(y)) + im(c)) + sinh (-re(asin(y)) + re(c))/ /
x1=−((cos2(im(c)−im(asin(y)))+sinh2(re(c)−re(asin(y))))2sin2(im(c)−im(asin(y)))cos2(im(c)−im(asin(y)))+(cos2(im(c)−im(asin(y)))+sinh2(re(c)−re(asin(y))))2sinh2(re(c)−re(asin(y)))cosh2(re(c)−re(asin(y))))(cos2(im(c)−im(asin(y)))+sinh2(re(c)−re(asin(y))))isin(im(c)−im(asin(y)))cos(im(c)−im(asin(y)))+((cos2(im(c)−im(asin(y)))+sinh2(re(c)−re(asin(y))))2sin2(im(c)−im(asin(y)))cos2(im(c)−im(asin(y)))+(cos2(im(c)−im(asin(y)))+sinh2(re(c)−re(asin(y))))2sinh2(re(c)−re(asin(y)))cosh2(re(c)−re(asin(y))))(cos2(im(c)−im(asin(y)))+sinh2(re(c)−re(asin(y))))sinh(re(c)−re(asin(y)))cosh(re(c)−re(asin(y)))
x1 = -i*sin(im(c) - im(asin(y)))*cos(im(c) - im(asin(y)))/((sin(im(c) - im(asin(y)))^2*cos(im(c) - im(asin(y)))^2/(cos(im(c) - im(asin(y)))^2 + sinh(re(c) - re(asin(y)))^2)^2 + sinh(re(c) - re(asin(y)))^2*cosh(re(c) - re(asin(y)))^2/(cos(im(c) - im(asin(y)))^2 + sinh(re(c) - re(asin(y)))^2)^2)*(cos(im(c) - im(asin(y)))^2 + sinh(re(c) - re(asin(y)))^2)) + sinh(re(c) - re(asin(y)))*cosh(re(c) - re(asin(y)))/((sin(im(c) - im(asin(y)))^2*cos(im(c) - im(asin(y)))^2/(cos(im(c) - im(asin(y)))^2 + sinh(re(c) - re(asin(y)))^2)^2 + sinh(re(c) - re(asin(y)))^2*cosh(re(c) - re(asin(y)))^2/(cos(im(c) - im(asin(y)))^2 + sinh(re(c) - re(asin(y)))^2)^2)*(cos(im(c) - im(asin(y)))^2 + sinh(re(c) - re(asin(y)))^2))
Suma y producto de raíces
[src]
cosh(-re(asin(y)) + re(c))*sinh(-re(asin(y)) + re(c)) I*cos(-im(asin(y)) + im(c))*sin(-im(asin(y)) + im(c))
-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
/ 2 2 2 2 \ / 2 2 2 2 \
/ 2 2 \ | cos (-im(asin(y)) + im(c))*sin (-im(asin(y)) + im(c)) cosh (-re(asin(y)) + re(c))*sinh (-re(asin(y)) + re(c)) | / 2 2 \ | cos (-im(asin(y)) + im(c))*sin (-im(asin(y)) + im(c)) cosh (-re(asin(y)) + re(c))*sinh (-re(asin(y)) + re(c)) |
\cos (-im(asin(y)) + im(c)) + sinh (-re(asin(y)) + re(c))/*|----------------------------------------------------------- + -----------------------------------------------------------| \cos (-im(asin(y)) + im(c)) + sinh (-re(asin(y)) + re(c))/*|----------------------------------------------------------- + -----------------------------------------------------------|
| 2 2| | 2 2|
|/ 2 2 \ / 2 2 \ | |/ 2 2 \ / 2 2 \ |
\\cos (-im(asin(y)) + im(c)) + sinh (-re(asin(y)) + re(c))/ \cos (-im(asin(y)) + im(c)) + sinh (-re(asin(y)) + re(c))/ / \\cos (-im(asin(y)) + im(c)) + sinh (-re(asin(y)) + re(c))/ \cos (-im(asin(y)) + im(c)) + sinh (-re(asin(y)) + re(c))/ /
−((cos2(im(c)−im(asin(y)))+sinh2(re(c)−re(asin(y))))2sin2(im(c)−im(asin(y)))cos2(im(c)−im(asin(y)))+(cos2(im(c)−im(asin(y)))+sinh2(re(c)−re(asin(y))))2sinh2(re(c)−re(asin(y)))cosh2(re(c)−re(asin(y))))(cos2(im(c)−im(asin(y)))+sinh2(re(c)−re(asin(y))))isin(im(c)−im(asin(y)))cos(im(c)−im(asin(y)))+((cos2(im(c)−im(asin(y)))+sinh2(re(c)−re(asin(y))))2sin2(im(c)−im(asin(y)))cos2(im(c)−im(asin(y)))+(cos2(im(c)−im(asin(y)))+sinh2(re(c)−re(asin(y))))2sinh2(re(c)−re(asin(y)))cosh2(re(c)−re(asin(y))))(cos2(im(c)−im(asin(y)))+sinh2(re(c)−re(asin(y))))sinh(re(c)−re(asin(y)))cosh(re(c)−re(asin(y)))
cosh(-re(asin(y)) + re(c))*sinh(-re(asin(y)) + re(c)) I*cos(-im(asin(y)) + im(c))*sin(-im(asin(y)) + im(c))
-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
/ 2 2 2 2 \ / 2 2 2 2 \
/ 2 2 \ | cos (-im(asin(y)) + im(c))*sin (-im(asin(y)) + im(c)) cosh (-re(asin(y)) + re(c))*sinh (-re(asin(y)) + re(c)) | / 2 2 \ | cos (-im(asin(y)) + im(c))*sin (-im(asin(y)) + im(c)) cosh (-re(asin(y)) + re(c))*sinh (-re(asin(y)) + re(c)) |
\cos (-im(asin(y)) + im(c)) + sinh (-re(asin(y)) + re(c))/*|----------------------------------------------------------- + -----------------------------------------------------------| \cos (-im(asin(y)) + im(c)) + sinh (-re(asin(y)) + re(c))/*|----------------------------------------------------------- + -----------------------------------------------------------|
| 2 2| | 2 2|
|/ 2 2 \ / 2 2 \ | |/ 2 2 \ / 2 2 \ |
\\cos (-im(asin(y)) + im(c)) + sinh (-re(asin(y)) + re(c))/ \cos (-im(asin(y)) + im(c)) + sinh (-re(asin(y)) + re(c))/ / \\cos (-im(asin(y)) + im(c)) + sinh (-re(asin(y)) + re(c))/ \cos (-im(asin(y)) + im(c)) + sinh (-re(asin(y)) + re(c))/ /
−((cos2(im(c)−im(asin(y)))+sinh2(re(c)−re(asin(y))))2sin2(im(c)−im(asin(y)))cos2(im(c)−im(asin(y)))+(cos2(im(c)−im(asin(y)))+sinh2(re(c)−re(asin(y))))2sinh2(re(c)−re(asin(y)))cosh2(re(c)−re(asin(y))))(cos2(im(c)−im(asin(y)))+sinh2(re(c)−re(asin(y))))isin(im(c)−im(asin(y)))cos(im(c)−im(asin(y)))+((cos2(im(c)−im(asin(y)))+sinh2(re(c)−re(asin(y))))2sin2(im(c)−im(asin(y)))cos2(im(c)−im(asin(y)))+(cos2(im(c)−im(asin(y)))+sinh2(re(c)−re(asin(y))))2sinh2(re(c)−re(asin(y)))cosh2(re(c)−re(asin(y))))(cos2(im(c)−im(asin(y)))+sinh2(re(c)−re(asin(y))))sinh(re(c)−re(asin(y)))cosh(re(c)−re(asin(y)))
cosh(-re(asin(y)) + re(c))*sinh(-re(asin(y)) + re(c)) I*cos(-im(asin(y)) + im(c))*sin(-im(asin(y)) + im(c))
-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
/ 2 2 2 2 \ / 2 2 2 2 \
/ 2 2 \ | cos (-im(asin(y)) + im(c))*sin (-im(asin(y)) + im(c)) cosh (-re(asin(y)) + re(c))*sinh (-re(asin(y)) + re(c)) | / 2 2 \ | cos (-im(asin(y)) + im(c))*sin (-im(asin(y)) + im(c)) cosh (-re(asin(y)) + re(c))*sinh (-re(asin(y)) + re(c)) |
\cos (-im(asin(y)) + im(c)) + sinh (-re(asin(y)) + re(c))/*|----------------------------------------------------------- + -----------------------------------------------------------| \cos (-im(asin(y)) + im(c)) + sinh (-re(asin(y)) + re(c))/*|----------------------------------------------------------- + -----------------------------------------------------------|
| 2 2| | 2 2|
|/ 2 2 \ / 2 2 \ | |/ 2 2 \ / 2 2 \ |
\\cos (-im(asin(y)) + im(c)) + sinh (-re(asin(y)) + re(c))/ \cos (-im(asin(y)) + im(c)) + sinh (-re(asin(y)) + re(c))/ / \\cos (-im(asin(y)) + im(c)) + sinh (-re(asin(y)) + re(c))/ \cos (-im(asin(y)) + im(c)) + sinh (-re(asin(y)) + re(c))/ /
−((cos2(im(c)−im(asin(y)))+sinh2(re(c)−re(asin(y))))2sin2(im(c)−im(asin(y)))cos2(im(c)−im(asin(y)))+(cos2(im(c)−im(asin(y)))+sinh2(re(c)−re(asin(y))))2sinh2(re(c)−re(asin(y)))cosh2(re(c)−re(asin(y))))(cos2(im(c)−im(asin(y)))+sinh2(re(c)−re(asin(y))))isin(im(c)−im(asin(y)))cos(im(c)−im(asin(y)))+((cos2(im(c)−im(asin(y)))+sinh2(re(c)−re(asin(y))))2sin2(im(c)−im(asin(y)))cos2(im(c)−im(asin(y)))+(cos2(im(c)−im(asin(y)))+sinh2(re(c)−re(asin(y))))2sinh2(re(c)−re(asin(y)))cosh2(re(c)−re(asin(y))))(cos2(im(c)−im(asin(y)))+sinh2(re(c)−re(asin(y))))sinh(re(c)−re(asin(y)))cosh(re(c)−re(asin(y)))
/ 2 2 \ /I*sin(-2*im(asin(y)) + 2*im(c)) \
-\cos (-im(asin(y)) + im(c)) + sinh (-re(asin(y)) + re(c))/*|------------------------------- - cosh(-re(asin(y)) + re(c))*sinh(-re(asin(y)) + re(c))|
\ 2 /
------------------------------------------------------------------------------------------------------------------------------------------------------
2 2 2 2
cos (-im(asin(y)) + im(c))*sin (-im(asin(y)) + im(c)) + cosh (-re(asin(y)) + re(c))*sinh (-re(asin(y)) + re(c))
−sin2(im(c)−im(asin(y)))cos2(im(c)−im(asin(y)))+sinh2(re(c)−re(asin(y)))cosh2(re(c)−re(asin(y)))(2isin(2im(c)−2im(asin(y)))−sinh(re(c)−re(asin(y)))cosh(re(c)−re(asin(y))))(cos2(im(c)−im(asin(y)))+sinh2(re(c)−re(asin(y))))
-(cos(-im(asin(y)) + im(c))^2 + sinh(-re(asin(y)) + re(c))^2)*(i*sin(-2*im(asin(y)) + 2*im(c))/2 - cosh(-re(asin(y)) + re(c))*sinh(-re(asin(y)) + re(c)))/(cos(-im(asin(y)) + im(c))^2*sin(-im(asin(y)) + im(c))^2 + cosh(-re(asin(y)) + re(c))^2*sinh(-re(asin(y)) + re(c))^2)