z=e^(arcsin(xy-1)) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Suma y producto de raíces
[src]
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)))
$$i e^{\operatorname{re}{\left(\operatorname{asin}{\left(x y - 1 \right)}\right)}} \sin{\left(\operatorname{im}{\left(\operatorname{asin}{\left(x y - 1 \right)}\right)} \right)} + e^{\operatorname{re}{\left(\operatorname{asin}{\left(x y - 1 \right)}\right)}} \cos{\left(\operatorname{im}{\left(\operatorname{asin}{\left(x y - 1 \right)}\right)} \right)}$$
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)))
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)))