cos(4*a)+1=1/2*sin(4*a)*(cot(x)-tan(a)) la ecuación
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Solución
Suma y producto de raíces
[src]
/ / 2 \\ / / 2 \\
- re|acot|- -------- + tan(a)|| - I*im|acot|- -------- + tan(a)||
\ \ sin(2*a) // \ \ sin(2*a) //
$$- \operatorname{re}{\left(\operatorname{acot}{\left(\tan{\left(a \right)} - \frac{2}{\sin{\left(2 a \right)}} \right)}\right)} - i \operatorname{im}{\left(\operatorname{acot}{\left(\tan{\left(a \right)} - \frac{2}{\sin{\left(2 a \right)}} \right)}\right)}$$
/ / 2 \\ / / 2 \\
- re|acot|- -------- + tan(a)|| - I*im|acot|- -------- + tan(a)||
\ \ sin(2*a) // \ \ sin(2*a) //
$$- \operatorname{re}{\left(\operatorname{acot}{\left(\tan{\left(a \right)} - \frac{2}{\sin{\left(2 a \right)}} \right)}\right)} - i \operatorname{im}{\left(\operatorname{acot}{\left(\tan{\left(a \right)} - \frac{2}{\sin{\left(2 a \right)}} \right)}\right)}$$
/ / 2 \\ / / 2 \\
- re|acot|- -------- + tan(a)|| - I*im|acot|- -------- + tan(a)||
\ \ sin(2*a) // \ \ sin(2*a) //
$$- \operatorname{re}{\left(\operatorname{acot}{\left(\tan{\left(a \right)} - \frac{2}{\sin{\left(2 a \right)}} \right)}\right)} - i \operatorname{im}{\left(\operatorname{acot}{\left(\tan{\left(a \right)} - \frac{2}{\sin{\left(2 a \right)}} \right)}\right)}$$
/ / 2 \\ / / 2 \\
- re|acot|- -------- + tan(a)|| - I*im|acot|- -------- + tan(a)||
\ \ sin(2*a) // \ \ sin(2*a) //
$$- \operatorname{re}{\left(\operatorname{acot}{\left(\tan{\left(a \right)} - \frac{2}{\sin{\left(2 a \right)}} \right)}\right)} - i \operatorname{im}{\left(\operatorname{acot}{\left(\tan{\left(a \right)} - \frac{2}{\sin{\left(2 a \right)}} \right)}\right)}$$
-re(acot(-2/sin(2*a) + tan(a))) - i*im(acot(-2/sin(2*a) + tan(a)))
/ / 2 \\ / / 2 \\
x1 = - re|acot|- -------- + tan(a)|| - I*im|acot|- -------- + tan(a)||
\ \ sin(2*a) // \ \ sin(2*a) //
$$x_{1} = - \operatorname{re}{\left(\operatorname{acot}{\left(\tan{\left(a \right)} - \frac{2}{\sin{\left(2 a \right)}} \right)}\right)} - i \operatorname{im}{\left(\operatorname{acot}{\left(\tan{\left(a \right)} - \frac{2}{\sin{\left(2 a \right)}} \right)}\right)}$$
x1 = -re(acot(tan(a) - 2/sin(2*a))) - i*im(acot(tan(a) - 2/sin(2*a)))