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log(2*y+1)/2=log(sin(x)) la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
log(2*y + 1)              
------------ = log(sin(x))
     2                    
$$\frac{\log{\left(2 y + 1 \right)}}{2} = \log{\left(\sin{\left(x \right)} \right)}$$
Gráfica
Respuesta rápida [src]
            /    /  _________\\       /    /  _________\\
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]
suma
       /    /  _________\\       /    /  _________\\       /    /  _________\\     /    /  _________\\
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
$$\pi$$
producto
/       /    /  _________\\       /    /  _________\\\ /    /    /  _________\\     /    /  _________\\\
\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))))