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La ecuación:
Ecuación 3^x=4
Ecuación 6*x^2+x-7=0
Ecuación 15-16x+4x^2=0
Ecuación -2*(-2-y)-y-2=0
Expresar {x} en función de y en la ecuación:
6*x-19*y=-18
3*x-12*y=-14
17*x-19*y=-12
6*x+13*y=-7
Expresiones idénticas
cos(x)^ dos - uno /sin(x)^ dos = cero
coseno de (x) al cuadrado menos 1 dividir por seno de (x) al cuadrado es igual a 0
coseno de (x) en el grado dos menos uno dividir por seno de (x) en el grado dos es igual a cero
cos(x)2-1/sin(x)2=0
cosx2-1/sinx2=0
cos(x)²-1/sin(x)²=0
cos(x) en el grado 2-1/sin(x) en el grado 2=0
cosx^2-1/sinx^2=0
cos(x)^2-1/sin(x)^2=O
cos(x)^2-1 dividir por sin(x)^2=0
Expresiones semejantes
cos(x)^2+1/sin(x)^2=0
cosx^2-1/sinx^2=0
Expresiones con funciones
Coseno cos
cos(3*x-pi/7)=-1
cos(z)=3/2
cos(2*x)+sin(x)+5=0
cos(3*x-pi/4)^2=1
cos(2*x)=0,1
Seno sin
sin(x)=0.25
sin^2*(7.5C)/sin^2*(7C)
sin(x/2)=(1/2)
sin(x*35/2)/(x*35/2)=0
sin(x+3*pi/2)^2=cos(x)

cos(x)^2-1/sin(x)^2=0 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

   2         1       
cos (x) - ------- = 0
             2       
          sin (x)

\cos^{2}{\left(x \right)} - \frac{1}{\sin^{2}{\left(x \right)}} = 0

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Respuesta rápida [src]

           /    /                         _____________\\         /    /                         _____________\\
           |    |          ___     ___   /         ___ ||         |    |          ___     ___   /         ___ ||
           |    |  1   I*\/ 3    \/ 2 *\/  1 - I*\/ 3  ||         |    |  1   I*\/ 3    \/ 2 *\/  1 - I*\/ 3  ||
x1 = - 2*re|atan|- - + ------- + ----------------------|| - 2*I*im|atan|- - + ------- + ----------------------||
           \    \  2      2                2           //         \    \  2      2                2           //

x_{1} = - 2 \operatorname{re}{\left(\operatorname{atan}{\left(- \frac{1}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(- \frac{1}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)}

         /    /                         _____________\\         /    /                         _____________\\
         |    |          ___     ___   /         ___ ||         |    |          ___     ___   /         ___ ||
         |    |  1   I*\/ 3    \/ 2 *\/  1 - I*\/ 3  ||         |    |  1   I*\/ 3    \/ 2 *\/  1 - I*\/ 3  ||
x2 = 2*re|atan|- - + ------- + ----------------------|| + 2*I*im|atan|- - + ------- + ----------------------||
         \    \  2      2                2           //         \    \  2      2                2           //

x_{2} = 2 \operatorname{re}{\left(\operatorname{atan}{\left(- \frac{1}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(- \frac{1}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)}

           /    /                       _____________\\         /    /                       _____________\\
           |    |        ___     ___   /         ___ ||         |    |        ___     ___   /         ___ ||
           |    |1   I*\/ 3    \/ 2 *\/  1 + I*\/ 3  ||         |    |1   I*\/ 3    \/ 2 *\/  1 + I*\/ 3  ||
x3 = - 2*re|atan|- + ------- - ----------------------|| - 2*I*im|atan|- + ------- - ----------------------||
           \    \2      2                2           //         \    \2      2                2           //

x_{3} = - 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)}

         /    /                       _____________\\         /    /                       _____________\\
         |    |        ___     ___   /         ___ ||         |    |        ___     ___   /         ___ ||
         |    |1   I*\/ 3    \/ 2 *\/  1 + I*\/ 3  ||         |    |1   I*\/ 3    \/ 2 *\/  1 + I*\/ 3  ||
x4 = 2*re|atan|- + ------- - ----------------------|| + 2*I*im|atan|- + ------- - ----------------------||
         \    \2      2                2           //         \    \2      2                2           //

x_{4} = 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)}

           /    /                       _____________\\         /    /                       _____________\\
           |    |        ___     ___   /         ___ ||         |    |        ___     ___   /         ___ ||
           |    |1   I*\/ 3    \/ 2 *\/  1 + I*\/ 3  ||         |    |1   I*\/ 3    \/ 2 *\/  1 + I*\/ 3  ||
x5 = - 2*re|atan|- + ------- + ----------------------|| - 2*I*im|atan|- + ------- + ----------------------||
           \    \2      2                2           //         \    \2      2                2           //

x_{5} = - 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)}

         /    /                       _____________\\         /    /                       _____________\\
         |    |        ___     ___   /         ___ ||         |    |        ___     ___   /         ___ ||
         |    |1   I*\/ 3    \/ 2 *\/  1 + I*\/ 3  ||         |    |1   I*\/ 3    \/ 2 *\/  1 + I*\/ 3  ||
x6 = 2*re|atan|- + ------- + ----------------------|| + 2*I*im|atan|- + ------- + ----------------------||
         \    \2      2                2           //         \    \2      2                2           //

x_{6} = 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)}

           /    /             _____________          \\         /    /             _____________          \\
           |    |      ___   /         ___        ___||         |    |      ___   /         ___        ___||
           |    |1   \/ 2 *\/  1 - I*\/ 3     I*\/ 3 ||         |    |1   \/ 2 *\/  1 - I*\/ 3     I*\/ 3 ||
x7 = - 2*re|atan|- + ---------------------- - -------|| - 2*I*im|atan|- + ---------------------- - -------||
           \    \2             2                 2   //         \    \2             2                 2   //

x_{7} = - 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{3} i}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{3} i}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} \right)}\right)}

         /    /             _____________          \\         /    /             _____________          \\
         |    |      ___   /         ___        ___||         |    |      ___   /         ___        ___||
         |    |1   \/ 2 *\/  1 - I*\/ 3     I*\/ 3 ||         |    |1   \/ 2 *\/  1 - I*\/ 3     I*\/ 3 ||
x8 = 2*re|atan|- + ---------------------- - -------|| + 2*I*im|atan|- + ---------------------- - -------||
         \    \2             2                 2   //         \    \2             2                 2   //

x_{8} = 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{3} i}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{3} i}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} \right)}\right)}

x8 = 2*re(atan(1/2 - sqrt(3)*i/2 + sqrt(2)*sqrt(1 - sqrt(3)*i)/2)) + 2*i*im(atan(1/2 - sqrt(3)*i/2 + sqrt(2)*sqrt(1 - sqrt(3)*i)/2))

Suma y producto de raíces [src]

suma

      /    /                         _____________\\         /    /                         _____________\\       /    /                         _____________\\         /    /                         _____________\\         /    /                       _____________\\         /    /                       _____________\\       /    /                       _____________\\         /    /                       _____________\\         /    /                       _____________\\         /    /                       _____________\\       /    /                       _____________\\         /    /                       _____________\\         /    /             _____________          \\         /    /             _____________          \\       /    /             _____________          \\         /    /             _____________          \\
      |    |          ___     ___   /         ___ ||         |    |          ___     ___   /         ___ ||       |    |          ___     ___   /         ___ ||         |    |          ___     ___   /         ___ ||         |    |        ___     ___   /         ___ ||         |    |        ___     ___   /         ___ ||       |    |        ___     ___   /         ___ ||         |    |        ___     ___   /         ___ ||         |    |        ___     ___   /         ___ ||         |    |        ___     ___   /         ___ ||       |    |        ___     ___   /         ___ ||         |    |        ___     ___   /         ___ ||         |    |      ___   /         ___        ___||         |    |      ___   /         ___        ___||       |    |      ___   /         ___        ___||         |    |      ___   /         ___        ___||
      |    |  1   I*\/ 3    \/ 2 *\/  1 - I*\/ 3  ||         |    |  1   I*\/ 3    \/ 2 *\/  1 - I*\/ 3  ||       |    |  1   I*\/ 3    \/ 2 *\/  1 - I*\/ 3  ||         |    |  1   I*\/ 3    \/ 2 *\/  1 - I*\/ 3  ||         |    |1   I*\/ 3    \/ 2 *\/  1 + I*\/ 3  ||         |    |1   I*\/ 3    \/ 2 *\/  1 + I*\/ 3  ||       |    |1   I*\/ 3    \/ 2 *\/  1 + I*\/ 3  ||         |    |1   I*\/ 3    \/ 2 *\/  1 + I*\/ 3  ||         |    |1   I*\/ 3    \/ 2 *\/  1 + I*\/ 3  ||         |    |1   I*\/ 3    \/ 2 *\/  1 + I*\/ 3  ||       |    |1   I*\/ 3    \/ 2 *\/  1 + I*\/ 3  ||         |    |1   I*\/ 3    \/ 2 *\/  1 + I*\/ 3  ||         |    |1   \/ 2 *\/  1 - I*\/ 3     I*\/ 3 ||         |    |1   \/ 2 *\/  1 - I*\/ 3     I*\/ 3 ||       |    |1   \/ 2 *\/  1 - I*\/ 3     I*\/ 3 ||         |    |1   \/ 2 *\/  1 - I*\/ 3     I*\/ 3 ||
- 2*re|atan|- - + ------- + ----------------------|| - 2*I*im|atan|- - + ------- + ----------------------|| + 2*re|atan|- - + ------- + ----------------------|| + 2*I*im|atan|- - + ------- + ----------------------|| + - 2*re|atan|- + ------- - ----------------------|| - 2*I*im|atan|- + ------- - ----------------------|| + 2*re|atan|- + ------- - ----------------------|| + 2*I*im|atan|- + ------- - ----------------------|| + - 2*re|atan|- + ------- + ----------------------|| - 2*I*im|atan|- + ------- + ----------------------|| + 2*re|atan|- + ------- + ----------------------|| + 2*I*im|atan|- + ------- + ----------------------|| + - 2*re|atan|- + ---------------------- - -------|| - 2*I*im|atan|- + ---------------------- - -------|| + 2*re|atan|- + ---------------------- - -------|| + 2*I*im|atan|- + ---------------------- - -------||
      \    \  2      2                2           //         \    \  2      2                2           //       \    \  2      2                2           //         \    \  2      2                2           //         \    \2      2                2           //         \    \2      2                2           //       \    \2      2                2           //         \    \2      2                2           //         \    \2      2                2           //         \    \2      2                2           //       \    \2      2                2           //         \    \2      2                2           //         \    \2             2                 2   //         \    \2             2                 2   //       \    \2             2                 2   //         \    \2             2                 2   //

\left(2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{3} i}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{3} i}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} \right)}\right)}\right) + \left(\left(\left(\left(\left(\left(\left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(- \frac{1}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(- \frac{1}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)}\right) + \left(2 \operatorname{re}{\left(\operatorname{atan}{\left(- \frac{1}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(- \frac{1}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)}\right)\right) + \left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)}\right)\right) + \left(2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)}\right)\right) + \left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)}\right)\right) + \left(2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)}\right)\right) + \left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{3} i}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{3} i}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} \right)}\right)}\right)\right)

0

producto

/      /    /                         _____________\\         /    /                         _____________\\\ /    /    /                         _____________\\         /    /                         _____________\\\ /      /    /                       _____________\\         /    /                       _____________\\\ /    /    /                       _____________\\         /    /                       _____________\\\ /      /    /                       _____________\\         /    /                       _____________\\\ /    /    /                       _____________\\         /    /                       _____________\\\ /      /    /             _____________          \\         /    /             _____________          \\\ /    /    /             _____________          \\         /    /             _____________          \\\
|      |    |          ___     ___   /         ___ ||         |    |          ___     ___   /         ___ ||| |    |    |          ___     ___   /         ___ ||         |    |          ___     ___   /         ___ ||| |      |    |        ___     ___   /         ___ ||         |    |        ___     ___   /         ___ ||| |    |    |        ___     ___   /         ___ ||         |    |        ___     ___   /         ___ ||| |      |    |        ___     ___   /         ___ ||         |    |        ___     ___   /         ___ ||| |    |    |        ___     ___   /         ___ ||         |    |        ___     ___   /         ___ ||| |      |    |      ___   /         ___        ___||         |    |      ___   /         ___        ___||| |    |    |      ___   /         ___        ___||         |    |      ___   /         ___        ___|||
|      |    |  1   I*\/ 3    \/ 2 *\/  1 - I*\/ 3  ||         |    |  1   I*\/ 3    \/ 2 *\/  1 - I*\/ 3  ||| |    |    |  1   I*\/ 3    \/ 2 *\/  1 - I*\/ 3  ||         |    |  1   I*\/ 3    \/ 2 *\/  1 - I*\/ 3  ||| |      |    |1   I*\/ 3    \/ 2 *\/  1 + I*\/ 3  ||         |    |1   I*\/ 3    \/ 2 *\/  1 + I*\/ 3  ||| |    |    |1   I*\/ 3    \/ 2 *\/  1 + I*\/ 3  ||         |    |1   I*\/ 3    \/ 2 *\/  1 + I*\/ 3  ||| |      |    |1   I*\/ 3    \/ 2 *\/  1 + I*\/ 3  ||         |    |1   I*\/ 3    \/ 2 *\/  1 + I*\/ 3  ||| |    |    |1   I*\/ 3    \/ 2 *\/  1 + I*\/ 3  ||         |    |1   I*\/ 3    \/ 2 *\/  1 + I*\/ 3  ||| |      |    |1   \/ 2 *\/  1 - I*\/ 3     I*\/ 3 ||         |    |1   \/ 2 *\/  1 - I*\/ 3     I*\/ 3 ||| |    |    |1   \/ 2 *\/  1 - I*\/ 3     I*\/ 3 ||         |    |1   \/ 2 *\/  1 - I*\/ 3     I*\/ 3 |||
|- 2*re|atan|- - + ------- + ----------------------|| - 2*I*im|atan|- - + ------- + ----------------------|||*|2*re|atan|- - + ------- + ----------------------|| + 2*I*im|atan|- - + ------- + ----------------------|||*|- 2*re|atan|- + ------- - ----------------------|| - 2*I*im|atan|- + ------- - ----------------------|||*|2*re|atan|- + ------- - ----------------------|| + 2*I*im|atan|- + ------- - ----------------------|||*|- 2*re|atan|- + ------- + ----------------------|| - 2*I*im|atan|- + ------- + ----------------------|||*|2*re|atan|- + ------- + ----------------------|| + 2*I*im|atan|- + ------- + ----------------------|||*|- 2*re|atan|- + ---------------------- - -------|| - 2*I*im|atan|- + ---------------------- - -------|||*|2*re|atan|- + ---------------------- - -------|| + 2*I*im|atan|- + ---------------------- - -------|||
\      \    \  2      2                2           //         \    \  2      2                2           /// \    \    \  2      2                2           //         \    \  2      2                2           /// \      \    \2      2                2           //         \    \2      2                2           /// \    \    \2      2                2           //         \    \2      2                2           /// \      \    \2      2                2           //         \    \2      2                2           /// \    \    \2      2                2           //         \    \2      2                2           /// \      \    \2             2                 2   //         \    \2             2                 2   /// \    \    \2             2                 2   //         \    \2             2                 2   ///

\left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(- \frac{1}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(- \frac{1}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)}\right) \left(2 \operatorname{re}{\left(\operatorname{atan}{\left(- \frac{1}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(- \frac{1}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)}\right) \left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)}\right) \left(2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)}\right) \left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)}\right) \left(2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)}\right) \left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{3} i}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{3} i}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} \right)}\right)}\right) \left(2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{3} i}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{3} i}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} \right)}\right)}\right)

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    /    /    /                       _____________\\     /    /                       _____________\\\  /    /    /                       _____________\\     /    /                       _____________\\\  /    /    /             _____________          \\     /    /             _____________          \\\  /    /    /                         _____________\\     /    /                         _____________\\\ 
    |    |    |        ___     ___   /         ___ ||     |    |        ___     ___   /         ___ |||  |    |    |        ___     ___   /         ___ ||     |    |        ___     ___   /         ___ |||  |    |    |      ___   /         ___        ___||     |    |      ___   /         ___        ___|||  |    |    |          ___     ___   /         ___ ||     |    |          ___     ___   /         ___ ||| 
    |    |    |1   I*\/ 3    \/ 2 *\/  1 + I*\/ 3  ||     |    |1   I*\/ 3    \/ 2 *\/  1 + I*\/ 3  |||  |    |    |1   I*\/ 3    \/ 2 *\/  1 + I*\/ 3  ||     |    |1   I*\/ 3    \/ 2 *\/  1 + I*\/ 3  |||  |    |    |1   \/ 2 *\/  1 - I*\/ 3     I*\/ 3 ||     |    |1   \/ 2 *\/  1 - I*\/ 3     I*\/ 3 |||  |    |    |  1   I*\/ 3    \/ 2 *\/  1 - I*\/ 3  ||     |    |  1   I*\/ 3    \/ 2 *\/  1 - I*\/ 3  ||| 
256*|I*im|atan|- + ------- + ----------------------|| + re|atan|- + ------- + ----------------------||| *|I*im|atan|- + ------- - ----------------------|| + re|atan|- + ------- - ----------------------||| *|I*im|atan|- + ---------------------- - -------|| + re|atan|- + ---------------------- - -------||| *|I*im|atan|- - + ------- + ----------------------|| + re|atan|- - + ------- + ----------------------||| 
    \    \    \2      2                2           //     \    \2      2                2           ///  \    \    \2      2                2           //     \    \2      2                2           ///  \    \    \2             2                 2   //     \    \2             2                 2   ///  \    \    \  2      2                2           //     \    \  2      2                2           ///

256 \left(\operatorname{re}{\left(\operatorname{atan}{\left(- \frac{1}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(- \frac{1}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)}\right)^{2} \left(\operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)}\right)^{2} \left(\operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)}\right)^{2} \left(\operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{3} i}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{3} i}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} \right)}\right)}\right)^{2}

256*(i*im(atan(1/2 + i*sqrt(3)/2 + sqrt(2)*sqrt(1 + i*sqrt(3))/2)) + re(atan(1/2 + i*sqrt(3)/2 + sqrt(2)*sqrt(1 + i*sqrt(3))/2)))^2*(i*im(atan(1/2 + i*sqrt(3)/2 - sqrt(2)*sqrt(1 + i*sqrt(3))/2)) + re(atan(1/2 + i*sqrt(3)/2 - sqrt(2)*sqrt(1 + i*sqrt(3))/2)))^2*(i*im(atan(1/2 + sqrt(2)*sqrt(1 - i*sqrt(3))/2 - i*sqrt(3)/2)) + re(atan(1/2 + sqrt(2)*sqrt(1 - i*sqrt(3))/2 - i*sqrt(3)/2)))^2*(i*im(atan(-1/2 + i*sqrt(3)/2 + sqrt(2)*sqrt(1 - i*sqrt(3))/2)) + re(atan(-1/2 + i*sqrt(3)/2 + sqrt(2)*sqrt(1 - i*sqrt(3))/2)))^2

Respuesta numérica [src]

x1 = -0.785398163397448 - 0.658478948462408*i

x2 = 0.785398163397448 + 0.658478948462408*i

x3 = 0.785398163397448 - 0.658478948462408*i

x4 = -0.785398163397448 + 0.658478948462408*i

x5 = -2.35619449019234 - 0.658478948462408*i

x6 = 2.35619449019234 + 0.658478948462408*i

x7 = -2.35619449019234 + 0.658478948462408*i

x8 = 2.35619449019234 - 0.658478948462408*i

x8 = 2.35619449019234 - 0.658478948462408*i

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