log(2*y+1)/2=log(sin(x)) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
/ / _________\\ / / _________\\
x1 = pi - re\asin\\/ 1 + 2*y // - I*im\asin\\/ 1 + 2*y //
$$x_{1} = - \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{2 y + 1} \right)}\right)} - i \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{2 y + 1} \right)}\right)} + \pi$$
/ / _________\\ / / _________\\
x2 = I*im\asin\\/ 1 + 2*y // + re\asin\\/ 1 + 2*y //
$$x_{2} = \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{2 y + 1} \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{2 y + 1} \right)}\right)}$$
x2 = re(asin(sqrt(2*y + 1))) + i*im(asin(sqrt(2*y + 1)))
Suma y producto de raíces
[src]
/ / _________\\ / / _________\\ / / _________\\ / / _________\\
pi - re\asin\\/ 1 + 2*y // - I*im\asin\\/ 1 + 2*y // + I*im\asin\\/ 1 + 2*y // + re\asin\\/ 1 + 2*y //
$$\left(\operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{2 y + 1} \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{2 y + 1} \right)}\right)}\right) + \left(- \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{2 y + 1} \right)}\right)} - i \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{2 y + 1} \right)}\right)} + \pi\right)$$
$$\pi$$
/ / / _________\\ / / _________\\\ / / / _________\\ / / _________\\\
\pi - re\asin\\/ 1 + 2*y // - I*im\asin\\/ 1 + 2*y ///*\I*im\asin\\/ 1 + 2*y // + re\asin\\/ 1 + 2*y ///
$$\left(\operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{2 y + 1} \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{2 y + 1} \right)}\right)}\right) \left(- \operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{2 y + 1} \right)}\right)} - i \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{2 y + 1} \right)}\right)} + \pi\right)$$
/ / / _________\\ / / _________\\\ / / / _________\\ / / _________\\\
-\I*im\asin\\/ 1 + 2*y // + re\asin\\/ 1 + 2*y ///*\-pi + I*im\asin\\/ 1 + 2*y // + re\asin\\/ 1 + 2*y ///
$$- \left(\operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{2 y + 1} \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{2 y + 1} \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{asin}{\left(\sqrt{2 y + 1} \right)}\right)} + i \operatorname{im}{\left(\operatorname{asin}{\left(\sqrt{2 y + 1} \right)}\right)} - \pi\right)$$
-(i*im(asin(sqrt(1 + 2*y))) + re(asin(sqrt(1 + 2*y))))*(-pi + i*im(asin(sqrt(1 + 2*y))) + re(asin(sqrt(1 + 2*y))))