sin(x)×(sin(x)+sin(y))+cos(x)×(cos(x)+cos(y))=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
/ / 1 \\ / / 1 \\
x1 = - 2*re|atan|------|| - 2*I*im|atan|------||
| | /y\|| | | /y\||
| |tan|-||| | |tan|-|||
\ \ \2/// \ \ \2///
$$x_{1} = - 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{\tan{\left(\frac{y}{2} \right)}} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{\tan{\left(\frac{y}{2} \right)}} \right)}\right)}$$
x1 = -2*re(atan(1/tan(y/2))) - 2*i*im(atan(1/tan(y/2)))
Suma y producto de raíces
[src]
/ / 1 \\ / / 1 \\
- 2*re|atan|------|| - 2*I*im|atan|------||
| | /y\|| | | /y\||
| |tan|-||| | |tan|-|||
\ \ \2/// \ \ \2///
$$- 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{\tan{\left(\frac{y}{2} \right)}} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{\tan{\left(\frac{y}{2} \right)}} \right)}\right)}$$
/ / 1 \\ / / 1 \\
- 2*re|atan|------|| - 2*I*im|atan|------||
| | /y\|| | | /y\||
| |tan|-||| | |tan|-|||
\ \ \2/// \ \ \2///
$$- 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{\tan{\left(\frac{y}{2} \right)}} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{\tan{\left(\frac{y}{2} \right)}} \right)}\right)}$$
/ / 1 \\ / / 1 \\
- 2*re|atan|------|| - 2*I*im|atan|------||
| | /y\|| | | /y\||
| |tan|-||| | |tan|-|||
\ \ \2/// \ \ \2///
$$- 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{\tan{\left(\frac{y}{2} \right)}} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{\tan{\left(\frac{y}{2} \right)}} \right)}\right)}$$
/ / 1 \\ / / 1 \\
- 2*re|atan|------|| - 2*I*im|atan|------||
| | /y\|| | | /y\||
| |tan|-||| | |tan|-|||
\ \ \2/// \ \ \2///
$$- 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{\tan{\left(\frac{y}{2} \right)}} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{\tan{\left(\frac{y}{2} \right)}} \right)}\right)}$$
-2*re(atan(1/tan(y/2))) - 2*i*im(atan(1/tan(y/2)))