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z=e^(arcsin(xy-1)) la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
     asin(x*y - 1)
z = E             
$$z = e^{\operatorname{asin}{\left(x y - 1 \right)}}$$
Gráfica
Suma y producto de raíces [src]
suma
                         re(asin(-1 + x*y))      re(asin(-1 + x*y))                        
cos(im(asin(-1 + x*y)))*e                   + I*e                  *sin(im(asin(-1 + x*y)))
$$i e^{\operatorname{re}{\left(\operatorname{asin}{\left(x y - 1 \right)}\right)}} \sin{\left(\operatorname{im}{\left(\operatorname{asin}{\left(x y - 1 \right)}\right)} \right)} + e^{\operatorname{re}{\left(\operatorname{asin}{\left(x y - 1 \right)}\right)}} \cos{\left(\operatorname{im}{\left(\operatorname{asin}{\left(x y - 1 \right)}\right)} \right)}$$
=
                         re(asin(-1 + x*y))      re(asin(-1 + x*y))                        
cos(im(asin(-1 + x*y)))*e                   + I*e                  *sin(im(asin(-1 + x*y)))
$$i e^{\operatorname{re}{\left(\operatorname{asin}{\left(x y - 1 \right)}\right)}} \sin{\left(\operatorname{im}{\left(\operatorname{asin}{\left(x y - 1 \right)}\right)} \right)} + e^{\operatorname{re}{\left(\operatorname{asin}{\left(x y - 1 \right)}\right)}} \cos{\left(\operatorname{im}{\left(\operatorname{asin}{\left(x y - 1 \right)}\right)} \right)}$$
producto
                         re(asin(-1 + x*y))      re(asin(-1 + x*y))                        
cos(im(asin(-1 + x*y)))*e                   + I*e                  *sin(im(asin(-1 + x*y)))
$$i e^{\operatorname{re}{\left(\operatorname{asin}{\left(x y - 1 \right)}\right)}} \sin{\left(\operatorname{im}{\left(\operatorname{asin}{\left(x y - 1 \right)}\right)} \right)} + e^{\operatorname{re}{\left(\operatorname{asin}{\left(x y - 1 \right)}\right)}} \cos{\left(\operatorname{im}{\left(\operatorname{asin}{\left(x y - 1 \right)}\right)} \right)}$$
=
 I*im(asin(-1 + x*y)) + re(asin(-1 + x*y))
e                                         
$$e^{\operatorname{re}{\left(\operatorname{asin}{\left(x y - 1 \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(x y - 1 \right)}\right)}}$$
exp(i*im(asin(-1 + x*y)) + re(asin(-1 + x*y)))
Respuesta rápida [src]
                              re(asin(-1 + x*y))      re(asin(-1 + x*y))                        
z1 = cos(im(asin(-1 + x*y)))*e                   + I*e                  *sin(im(asin(-1 + x*y)))
$$z_{1} = i e^{\operatorname{re}{\left(\operatorname{asin}{\left(x y - 1 \right)}\right)}} \sin{\left(\operatorname{im}{\left(\operatorname{asin}{\left(x y - 1 \right)}\right)} \right)} + e^{\operatorname{re}{\left(\operatorname{asin}{\left(x y - 1 \right)}\right)}} \cos{\left(\operatorname{im}{\left(\operatorname{asin}{\left(x y - 1 \right)}\right)} \right)}$$
z1 = i*exp(re(asin(x*y - 1)))*sin(im(asin(x*y - 1))) + exp(re(asin(x*y - 1)))*cos(im(asin(x*y - 1)))