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- La ecuación:
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Ecuación 1/(x-3)^2-3/(x-3)-4=0
-
Ecuación 9*(x-5)=-x
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Ecuación 13x+10=6x-4
- Ecuación x-y=1
- Expresar {x} en función de y en la ecuación:
- 7*x-6*y=-2
- 13*x-15*y=-6
- 4*x-7*y=4
- -4*x+6*y=-7
- Derivada de:
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asin(y)
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Expresiones idénticas
- asin(y)=Const+log(x- uno)/ dos -log(x+ uno)/ dos
- ar coseno de eno de (y) es igual a Const más logaritmo de (x menos 1) dividir por 2 menos logaritmo de (x más 1) dividir por 2
- ar coseno de eno de (y) es igual a Const más logaritmo de (x menos uno) dividir por dos menos logaritmo de (x más uno) dividir por dos
- asiny=Const+logx-1/2-logx+1/2
- asin(y)=Const+log(x-1) dividir por 2-log(x+1) dividir por 2
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Expresiones semejantes
- asin(y)=Const+log(x-1)/2-log(x-1)/2
- asin(y)=Const+log(x-1)/2+log(x+1)/2
- asin(y/3)=Const+atan(x/2)/2
- x=asin((y+b/a*sqrt(a^2-(u+r*cos(x))^2))/r)
- asin(y/x)=log(x)
- asin(y)=Const-log(x-1)/2-log(x+1)/2
- asin(y)=Const+log(x+1)/2-log(x+1)/2
- arcsin(y)=Const+log(x-1)/2-log(x+1)/2
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Expresiones con funciones
- Arcoseno arcsin
- asinsin|x|=|x|
- asin(y/3)=Const+atan(x/2)/2
- asin(y)=Const+ln(x)
- asin(x/5)/pi-1=0
- asin(y/x)=log(x)
- Logaritmo log
- log(10)=1
- log(5*x)=1
- log(x^2+14*x+50)/log(x+10)=1
- log(1/2)x+2=x-4
- logx(1/20)=x
- Logaritmo log
- log(10)=1
- log(5*x)=1
- log(x^2+14*x+50)/log(x+10)=1
- log(1/2)x+2=x-4
- logx(1/20)=x
asin(y)=Const+log(x-1)/2-log(x+1)/2 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
log(x - 1) log(x + 1)
asin(y) = c + ---------- - ----------
2 2
$$\operatorname{asin}{\left(y \right)} = \left(c + \frac{\log{\left(x - 1 \right)}}{2}\right) - \frac{\log{\left(x + 1 \right)}}{2}$$
Gráfica
Respuesta rápida
[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))
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))/ /
$$x_{1} = - \frac{i \sin{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} \cos{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}}{\left(\frac{\sin^{2}{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} \cos^{2}{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}}{\left(\cos^{2}{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} + \sinh^{2}{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}\right)^{2}} + \frac{\sinh^{2}{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} \cosh^{2}{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}}{\left(\cos^{2}{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} + \sinh^{2}{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}\right)^{2}}\right) \left(\cos^{2}{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} + \sinh^{2}{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}\right)} + \frac{\sinh{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} \cosh{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}}{\left(\frac{\sin^{2}{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} \cos^{2}{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}}{\left(\cos^{2}{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} + \sinh^{2}{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}\right)^{2}} + \frac{\sinh^{2}{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} \cosh^{2}{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}}{\left(\cos^{2}{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} + \sinh^{2}{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}\right)^{2}}\right) \left(\cos^{2}{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} + \sinh^{2}{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}\right)}$$
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]
suma
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))/ /
$$- \frac{i \sin{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} \cos{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}}{\left(\frac{\sin^{2}{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} \cos^{2}{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}}{\left(\cos^{2}{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} + \sinh^{2}{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}\right)^{2}} + \frac{\sinh^{2}{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} \cosh^{2}{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}}{\left(\cos^{2}{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} + \sinh^{2}{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}\right)^{2}}\right) \left(\cos^{2}{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} + \sinh^{2}{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}\right)} + \frac{\sinh{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} \cosh{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}}{\left(\frac{\sin^{2}{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} \cos^{2}{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}}{\left(\cos^{2}{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} + \sinh^{2}{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}\right)^{2}} + \frac{\sinh^{2}{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} \cosh^{2}{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}}{\left(\cos^{2}{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} + \sinh^{2}{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}\right)^{2}}\right) \left(\cos^{2}{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} + \sinh^{2}{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}\right)}$$
=
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))/ /
$$- \frac{i \sin{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} \cos{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}}{\left(\frac{\sin^{2}{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} \cos^{2}{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}}{\left(\cos^{2}{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} + \sinh^{2}{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}\right)^{2}} + \frac{\sinh^{2}{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} \cosh^{2}{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}}{\left(\cos^{2}{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} + \sinh^{2}{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}\right)^{2}}\right) \left(\cos^{2}{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} + \sinh^{2}{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}\right)} + \frac{\sinh{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} \cosh{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}}{\left(\frac{\sin^{2}{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} \cos^{2}{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}}{\left(\cos^{2}{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} + \sinh^{2}{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}\right)^{2}} + \frac{\sinh^{2}{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} \cosh^{2}{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}}{\left(\cos^{2}{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} + \sinh^{2}{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}\right)^{2}}\right) \left(\cos^{2}{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} + \sinh^{2}{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}\right)}$$
producto
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))/ /
$$- \frac{i \sin{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} \cos{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}}{\left(\frac{\sin^{2}{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} \cos^{2}{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}}{\left(\cos^{2}{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} + \sinh^{2}{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}\right)^{2}} + \frac{\sinh^{2}{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} \cosh^{2}{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}}{\left(\cos^{2}{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} + \sinh^{2}{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}\right)^{2}}\right) \left(\cos^{2}{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} + \sinh^{2}{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}\right)} + \frac{\sinh{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} \cosh{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}}{\left(\frac{\sin^{2}{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} \cos^{2}{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}}{\left(\cos^{2}{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} + \sinh^{2}{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}\right)^{2}} + \frac{\sinh^{2}{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} \cosh^{2}{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}}{\left(\cos^{2}{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} + \sinh^{2}{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}\right)^{2}}\right) \left(\cos^{2}{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} + \sinh^{2}{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}\right)}$$
=
/ 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))
$$- \frac{\left(\frac{i \sin{\left(2 \operatorname{im}{\left(c\right)} - 2 \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}}{2} - \sinh{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} \cosh{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}\right) \left(\cos^{2}{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} + \sinh^{2}{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}\right)}{\sin^{2}{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} \cos^{2}{\left(\operatorname{im}{\left(c\right)} - \operatorname{im}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} + \sinh^{2}{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)} \cosh^{2}{\left(\operatorname{re}{\left(c\right)} - \operatorname{re}{\left(\operatorname{asin}{\left(y \right)}\right)} \right)}}$$
-(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)