Sr Examen

Otras calculadoras

cos(4*a)+1=1/2*sin(4*a)*(cot(x)-tan(a)) la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

v

Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
               sin(4*a)                  
cos(4*a) + 1 = --------*(cot(x) - tan(a))
                  2                      
$$\cos{\left(4 a \right)} + 1 = \left(- \tan{\left(a \right)} + \cot{\left(x \right)}\right) \frac{\sin{\left(4 a \right)}}{2}$$
Gráfica
Suma y producto de raíces [src]
suma
    /    /     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)         //
$$- \operatorname{re}{\left(\operatorname{acot}{\left(\tan{\left(a \right)} - \frac{2}{\sin{\left(2 a \right)}} \right)}\right)} - i \operatorname{im}{\left(\operatorname{acot}{\left(\tan{\left(a \right)} - \frac{2}{\sin{\left(2 a \right)}} \right)}\right)}$$
producto
    /    /     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)))
Respuesta rápida [src]
         /    /     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)))