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La ecuación:
Ecuación 3x-2(3x+4)=10
Ecuación x(x^2+2x+1)=6(x+1)
Ecuación 4x+1=-3x+15
Ecuación 6x+1=-4x
Expresar {x} en función de y en la ecuación:
7*x-1*y=0
2*x-15*y=-1
-18*x-6*y=-1
13*x-12*y=19
Gráfico de la función y =:
(cos(x)-sin(x))*(1-2*sin(x)*cos(x))+1
Expresiones idénticas
(cos(x)-sin(x))*(uno - dos *sin(x)*cos(x))+ uno = cero
( coseno de (x) menos seno de (x)) multiplicar por (1 menos 2 multiplicar por seno de (x) multiplicar por coseno de (x)) más 1 es igual a 0
( coseno de (x) menos seno de (x)) multiplicar por (uno menos dos multiplicar por seno de (x) multiplicar por coseno de (x)) más uno es igual a cero
(cos(x)-sin(x))(1-2sin(x)cos(x))+1=0
cosx-sinx1-2sinxcosx+1=0
(cos(x)-sin(x))*(1-2*sin(x)*cos(x))+1=O
Expresiones semejantes
(cos(x)-sin(x))*(1+2*sin(x)*cos(x))+1=0
(cos(x)+sin(x))*(1-2*sin(x)*cos(x))+1=0
(cos(x)-sin(x))*(1-2*sin(x)*cos(x))-1=0
(cosx-sinx)*(1-2*sinx*cosx)+1=0
Expresiones con funciones
Coseno cos
cos(x)=-3
cos(0.5-y)-0.5y+2=0
cos(7*x)+cos(x)=0
cos(2*x-pi/4)=0
cos(x)=-(2/5)
Seno sin
sin(x)=pi
sin(x)=1/3
sin(x)=0,5
sin2x=-1/2
sin(z)+cos(z)=i
Seno sin
sin(x)=pi
sin(x)=1/3
sin(x)=0,5
sin2x=-1/2
sin(z)+cos(z)=i
Coseno cos
cos(x)=-3
cos(0.5-y)-0.5y+2=0
cos(7*x)+cos(x)=0
cos(2*x-pi/4)=0
cos(x)=-(2/5)

(cos(x)-sin(x))(1-2sin(x)*cos(x))+1=0 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

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

$$\left(- 2 \sin{\left(x \right)} \cos{\left(x \right)} + 1\right) \left(- \sin{\left(x \right)} + \cos{\left(x \right)}\right) + 1 = 0$$

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Respuesta rápida [src]

     pi
x1 = --
     2

$$x_{1} = \frac{\pi}{2}$$

         /    /                         _______________\\         /    /                         _______________\\
         |    |          ___     ___   /           ___ ||         |    |          ___     ___   /           ___ ||
         |    |  1   I*\/ 3    \/ 6 *\/  1 - 3*I*\/ 3  ||         |    |  1   I*\/ 3    \/ 6 *\/  1 - 3*I*\/ 3  ||
x2 = 2*re|atan|- - + ------- + ------------------------|| + 2*I*im|atan|- - + ------- + ------------------------||
         \    \  2      6                 6            //         \    \  2      6                 6            //

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

           /    /                       _______________\\         /    /                       _______________\\
           |    |        ___     ___   /           ___ ||         |    |        ___     ___   /           ___ ||
           |    |1   I*\/ 3    \/ 6 *\/  1 + 3*I*\/ 3  ||         |    |1   I*\/ 3    \/ 6 *\/  1 + 3*I*\/ 3  ||
x3 = - 2*re|atan|- + ------- + ------------------------|| - 2*I*im|atan|- + ------- + ------------------------||
           \    \2      6                 6            //         \    \2      6                 6            //

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

           /    /                       _______________\\         /    /                       _______________\\
           |    |        ___     ___   /           ___ ||         |    |        ___     ___   /           ___ ||
           |    |1   I*\/ 3    \/ 6 *\/  1 - 3*I*\/ 3  ||         |    |1   I*\/ 3    \/ 6 *\/  1 - 3*I*\/ 3  ||
x4 = - 2*re|atan|- - ------- + ------------------------|| - 2*I*im|atan|- - ------- + ------------------------||
           \    \2      6                 6            //         \    \2      6                 6            //

$$x_{4} = - 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{6} \sqrt{1 - 3 \sqrt{3} i}}{6} - \frac{\sqrt{3} i}{6} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{6} \sqrt{1 - 3 \sqrt{3} i}}{6} - \frac{\sqrt{3} i}{6} \right)}\right)}$$

           /    /             _______________          \\         /    /             _______________          \\
           |    |      ___   /           ___        ___||         |    |      ___   /           ___        ___||
           |    |1   \/ 6 *\/  1 + 3*I*\/ 3     I*\/ 3 ||         |    |1   \/ 6 *\/  1 + 3*I*\/ 3     I*\/ 3 ||
x5 = - 2*re|atan|- - ------------------------ + -------|| - 2*I*im|atan|- - ------------------------ + -------||
           \    \2              6                  6   //         \    \2              6                  6   //

$$x_{5} = - 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{6} \sqrt{1 + 3 \sqrt{3} i}}{6} + \frac{\sqrt{3} i}{6} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{6} \sqrt{1 + 3 \sqrt{3} i}}{6} + \frac{\sqrt{3} i}{6} \right)}\right)}$$

x5 = -2*re(atan(1/2 - sqrt(6)*sqrt(1 + 3*sqrt(3)*i)/6 + sqrt(3)*i/6)) - 2*i*im(atan(1/2 - sqrt(6)*sqrt(1 + 3*sqrt(3)*i)/6 + sqrt(3)*i/6))

Suma y producto de raíces [src]

suma

         /    /                         _______________\\         /    /                         _______________\\         /    /                       _______________\\         /    /                       _______________\\         /    /                       _______________\\         /    /                       _______________\\         /    /             _______________          \\         /    /             _______________          \\
         |    |          ___     ___   /           ___ ||         |    |          ___     ___   /           ___ ||         |    |        ___     ___   /           ___ ||         |    |        ___     ___   /           ___ ||         |    |        ___     ___   /           ___ ||         |    |        ___     ___   /           ___ ||         |    |      ___   /           ___        ___||         |    |      ___   /           ___        ___||
pi       |    |  1   I*\/ 3    \/ 6 *\/  1 - 3*I*\/ 3  ||         |    |  1   I*\/ 3    \/ 6 *\/  1 - 3*I*\/ 3  ||         |    |1   I*\/ 3    \/ 6 *\/  1 + 3*I*\/ 3  ||         |    |1   I*\/ 3    \/ 6 *\/  1 + 3*I*\/ 3  ||         |    |1   I*\/ 3    \/ 6 *\/  1 - 3*I*\/ 3  ||         |    |1   I*\/ 3    \/ 6 *\/  1 - 3*I*\/ 3  ||         |    |1   \/ 6 *\/  1 + 3*I*\/ 3     I*\/ 3 ||         |    |1   \/ 6 *\/  1 + 3*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        \    \  2      6                 6            //         \    \  2      6                 6            //         \    \2      6                 6            //         \    \2      6                 6            //         \    \2      6                 6            //         \    \2      6                 6            //         \    \2              6                  6   //         \    \2              6                  6   //

$$\left(\left(\left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{3} i}{6} + \frac{\sqrt{6} \sqrt{1 + 3 \sqrt{3} i}}{6} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{3} i}{6} + \frac{\sqrt{6} \sqrt{1 + 3 \sqrt{3} i}}{6} \right)}\right)}\right) + \left(\frac{\pi}{2} + \left(2 \operatorname{re}{\left(\operatorname{atan}{\left(- \frac{1}{2} + \frac{\sqrt{6} \sqrt{1 - 3 \sqrt{3} i}}{6} + \frac{\sqrt{3} i}{6} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(- \frac{1}{2} + \frac{\sqrt{6} \sqrt{1 - 3 \sqrt{3} i}}{6} + \frac{\sqrt{3} i}{6} \right)}\right)}\right)\right)\right) + \left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{6} \sqrt{1 - 3 \sqrt{3} i}}{6} - \frac{\sqrt{3} i}{6} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{6} \sqrt{1 - 3 \sqrt{3} i}}{6} - \frac{\sqrt{3} i}{6} \right)}\right)}\right)\right) + \left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{6} \sqrt{1 + 3 \sqrt{3} i}}{6} + \frac{\sqrt{3} i}{6} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{6} \sqrt{1 + 3 \sqrt{3} i}}{6} + \frac{\sqrt{3} i}{6} \right)}\right)}\right)$$

         /    /                       _______________\\       /    /             _______________          \\       /    /                       _______________\\       /    /                         _______________\\         /    /                       _______________\\         /    /             _______________          \\         /    /                       _______________\\         /    /                         _______________\\
         |    |        ___     ___   /           ___ ||       |    |      ___   /           ___        ___||       |    |        ___     ___   /           ___ ||       |    |          ___     ___   /           ___ ||         |    |        ___     ___   /           ___ ||         |    |      ___   /           ___        ___||         |    |        ___     ___   /           ___ ||         |    |          ___     ___   /           ___ ||
pi       |    |1   I*\/ 3    \/ 6 *\/  1 - 3*I*\/ 3  ||       |    |1   \/ 6 *\/  1 + 3*I*\/ 3     I*\/ 3 ||       |    |1   I*\/ 3    \/ 6 *\/  1 + 3*I*\/ 3  ||       |    |  1   I*\/ 3    \/ 6 *\/  1 - 3*I*\/ 3  ||         |    |1   I*\/ 3    \/ 6 *\/  1 - 3*I*\/ 3  ||         |    |1   \/ 6 *\/  1 + 3*I*\/ 3     I*\/ 3 ||         |    |1   I*\/ 3    \/ 6 *\/  1 + 3*I*\/ 3  ||         |    |  1   I*\/ 3    \/ 6 *\/  1 - 3*I*\/ 3  ||
-- - 2*re|atan|- - ------- + ------------------------|| - 2*re|atan|- - ------------------------ + -------|| - 2*re|atan|- + ------- + ------------------------|| + 2*re|atan|- - + ------- + ------------------------|| - 2*I*im|atan|- - ------- + ------------------------|| - 2*I*im|atan|- - ------------------------ + -------|| - 2*I*im|atan|- + ------- + ------------------------|| + 2*I*im|atan|- - + ------- + ------------------------||
2        \    \2      6                 6            //       \    \2              6                  6   //       \    \2      6                 6            //       \    \  2      6                 6            //         \    \2      6                 6            //         \    \2              6                  6   //         \    \2      6                 6            //         \    \  2      6                 6            //

$$- 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{6} \sqrt{1 - 3 \sqrt{3} i}}{6} - \frac{\sqrt{3} i}{6} \right)}\right)} - 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{3} i}{6} + \frac{\sqrt{6} \sqrt{1 + 3 \sqrt{3} i}}{6} \right)}\right)} - 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{6} \sqrt{1 + 3 \sqrt{3} i}}{6} + \frac{\sqrt{3} i}{6} \right)}\right)} + 2 \operatorname{re}{\left(\operatorname{atan}{\left(- \frac{1}{2} + \frac{\sqrt{6} \sqrt{1 - 3 \sqrt{3} i}}{6} + \frac{\sqrt{3} i}{6} \right)}\right)} + \frac{\pi}{2} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{3} i}{6} + \frac{\sqrt{6} \sqrt{1 + 3 \sqrt{3} i}}{6} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(- \frac{1}{2} + \frac{\sqrt{6} \sqrt{1 - 3 \sqrt{3} i}}{6} + \frac{\sqrt{3} i}{6} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{6} \sqrt{1 - 3 \sqrt{3} i}}{6} - \frac{\sqrt{3} i}{6} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{6} \sqrt{1 + 3 \sqrt{3} i}}{6} + \frac{\sqrt{3} i}{6} \right)}\right)}$$

producto

   /    /    /                         _______________\\         /    /                         _______________\\\ /      /    /                       _______________\\         /    /                       _______________\\\ /      /    /                       _______________\\         /    /                       _______________\\\ /      /    /             _______________          \\         /    /             _______________          \\\
   |    |    |          ___     ___   /           ___ ||         |    |          ___     ___   /           ___ ||| |      |    |        ___     ___   /           ___ ||         |    |        ___     ___   /           ___ ||| |      |    |        ___     ___   /           ___ ||         |    |        ___     ___   /           ___ ||| |      |    |      ___   /           ___        ___||         |    |      ___   /           ___        ___|||
pi |    |    |  1   I*\/ 3    \/ 6 *\/  1 - 3*I*\/ 3  ||         |    |  1   I*\/ 3    \/ 6 *\/  1 - 3*I*\/ 3  ||| |      |    |1   I*\/ 3    \/ 6 *\/  1 + 3*I*\/ 3  ||         |    |1   I*\/ 3    \/ 6 *\/  1 + 3*I*\/ 3  ||| |      |    |1   I*\/ 3    \/ 6 *\/  1 - 3*I*\/ 3  ||         |    |1   I*\/ 3    \/ 6 *\/  1 - 3*I*\/ 3  ||| |      |    |1   \/ 6 *\/  1 + 3*I*\/ 3     I*\/ 3 ||         |    |1   \/ 6 *\/  1 + 3*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  \    \    \  2      6                 6            //         \    \  2      6                 6            /// \      \    \2      6                 6            //         \    \2      6                 6            /// \      \    \2      6                 6            //         \    \2      6                 6            /// \      \    \2              6                  6   //         \    \2              6                  6   ///

$$\frac{\pi}{2} \left(2 \operatorname{re}{\left(\operatorname{atan}{\left(- \frac{1}{2} + \frac{\sqrt{6} \sqrt{1 - 3 \sqrt{3} i}}{6} + \frac{\sqrt{3} i}{6} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(- \frac{1}{2} + \frac{\sqrt{6} \sqrt{1 - 3 \sqrt{3} i}}{6} + \frac{\sqrt{3} i}{6} \right)}\right)}\right) \left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{3} i}{6} + \frac{\sqrt{6} \sqrt{1 + 3 \sqrt{3} i}}{6} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{3} i}{6} + \frac{\sqrt{6} \sqrt{1 + 3 \sqrt{3} i}}{6} \right)}\right)}\right) \left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{6} \sqrt{1 - 3 \sqrt{3} i}}{6} - \frac{\sqrt{3} i}{6} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{6} \sqrt{1 - 3 \sqrt{3} i}}{6} - \frac{\sqrt{3} i}{6} \right)}\right)}\right) \left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{6} \sqrt{1 + 3 \sqrt{3} i}}{6} + \frac{\sqrt{3} i}{6} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{6} \sqrt{1 + 3 \sqrt{3} i}}{6} + \frac{\sqrt{3} i}{6} \right)}\right)}\right)$$

      /    /    /                       _______________\\     /    /                       _______________\\\ /    /    /             _______________          \\     /    /             _______________          \\\ /    /    /                       _______________\\     /    /                       _______________\\\ /    /    /                         _______________\\     /    /                         _______________\\\
      |    |    |        ___     ___   /           ___ ||     |    |        ___     ___   /           ___ ||| |    |    |      ___   /           ___        ___||     |    |      ___   /           ___        ___||| |    |    |        ___     ___   /           ___ ||     |    |        ___     ___   /           ___ ||| |    |    |          ___     ___   /           ___ ||     |    |          ___     ___   /           ___ |||
      |    |    |1   I*\/ 3    \/ 6 *\/  1 - 3*I*\/ 3  ||     |    |1   I*\/ 3    \/ 6 *\/  1 - 3*I*\/ 3  ||| |    |    |1   \/ 6 *\/  1 + 3*I*\/ 3     I*\/ 3 ||     |    |1   \/ 6 *\/  1 + 3*I*\/ 3     I*\/ 3 ||| |    |    |1   I*\/ 3    \/ 6 *\/  1 + 3*I*\/ 3  ||     |    |1   I*\/ 3    \/ 6 *\/  1 + 3*I*\/ 3  ||| |    |    |  1   I*\/ 3    \/ 6 *\/  1 - 3*I*\/ 3  ||     |    |  1   I*\/ 3    \/ 6 *\/  1 - 3*I*\/ 3  |||
-8*pi*|I*im|atan|- - ------- + ------------------------|| + re|atan|- - ------- + ------------------------|||*|I*im|atan|- - ------------------------ + -------|| + re|atan|- - ------------------------ + -------|||*|I*im|atan|- + ------- + ------------------------|| + re|atan|- + ------- + ------------------------|||*|I*im|atan|- - + ------- + ------------------------|| + re|atan|- - + ------- + ------------------------|||
      \    \    \2      6                 6            //     \    \2      6                 6            /// \    \    \2              6                  6   //     \    \2              6                  6   /// \    \    \2      6                 6            //     \    \2      6                 6            /// \    \    \  2      6                 6            //     \    \  2      6                 6            ///

$$- 8 \pi \left(\operatorname{re}{\left(\operatorname{atan}{\left(- \frac{1}{2} + \frac{\sqrt{6} \sqrt{1 - 3 \sqrt{3} i}}{6} + \frac{\sqrt{3} i}{6} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(- \frac{1}{2} + \frac{\sqrt{6} \sqrt{1 - 3 \sqrt{3} i}}{6} + \frac{\sqrt{3} i}{6} \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{3} i}{6} + \frac{\sqrt{6} \sqrt{1 + 3 \sqrt{3} i}}{6} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{3} i}{6} + \frac{\sqrt{6} \sqrt{1 + 3 \sqrt{3} i}}{6} \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{6} \sqrt{1 - 3 \sqrt{3} i}}{6} - \frac{\sqrt{3} i}{6} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{6} \sqrt{1 - 3 \sqrt{3} i}}{6} - \frac{\sqrt{3} i}{6} \right)}\right)}\right) \left(\operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{6} \sqrt{1 + 3 \sqrt{3} i}}{6} + \frac{\sqrt{3} i}{6} \right)}\right)} + i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{6} \sqrt{1 + 3 \sqrt{3} i}}{6} + \frac{\sqrt{3} i}{6} \right)}\right)}\right)$$

-8*pi*(i*im(atan(1/2 - i*sqrt(3)/6 + sqrt(6)*sqrt(1 - 3*i*sqrt(3))/6)) + re(atan(1/2 - i*sqrt(3)/6 + sqrt(6)*sqrt(1 - 3*i*sqrt(3))/6)))*(i*im(atan(1/2 - sqrt(6)*sqrt(1 + 3*i*sqrt(3))/6 + i*sqrt(3)/6)) + re(atan(1/2 - sqrt(6)*sqrt(1 + 3*i*sqrt(3))/6 + i*sqrt(3)/6)))*(i*im(atan(1/2 + i*sqrt(3)/6 + sqrt(6)*sqrt(1 + 3*i*sqrt(3))/6)) + re(atan(1/2 + i*sqrt(3)/6 + sqrt(6)*sqrt(1 + 3*i*sqrt(3))/6)))*(i*im(atan(-1/2 + i*sqrt(3)/6 + sqrt(6)*sqrt(1 - 3*i*sqrt(3))/6)) + re(atan(-1/2 + i*sqrt(3)/6 + sqrt(6)*sqrt(1 - 3*i*sqrt(3))/6)))

Respuesta numérica [src]

x1 = -23.5619449019235

x2 = 9.42477796076938

x3 = 51.8362787842316

x4 = -17.2787595947439

x5 = -36.1283155162826

x6 = -34.5575191894877

x7 = -48.6946861306418

x8 = -97.3893722612836

x9 = 699.004365423729

x10 = 89.5353906273091

x11 = 14.1371669411541

x12 = -3.14159265358979

x13 = 95.8185759344887

x14 = 59.6902604182061

x15 = 58.1194640914112

x16 = 102.101761241668

x17 = -47.1238898038469

x18 = -73.8274273593601

x19 = 28.2743338823081

x20 = -4.71238898038469

x21 = 556.061899685393

x22 = 83.2522053201295

x23 = -59.6902604182061

x24 = -42.4115008234622

x25 = -92.6769832808989

x26 = -91.106186954104

x27 = 15.707963267949

x28 = 34.5575191894877

x29 = 21.9911485751286

x30 = 40.8407044966673

x31 = 45.553093477052

x32 = 65.9734457253857

x33 = -72.2566310325652

x34 = -419.402619254237

x35 = 20.4203522483337

x36 = 64.4026493985908

x37 = -21.9911485751286

x38 = 91.106186954104

x39 = 53.4070751110265

x40 = -28.2743338823081

x41 = -65.9734457253857

x42 = -53.4070751110265

x43 = -80.1106126665397

x44 = 7.85398163397448

x45 = 409.977841293468

x46 = -15.707963267949

x47 = 39.2699081698724

x48 = -67.5442420521806

x49 = 84.8230016469244

x50 = 72.2566310325652

x51 = -29.845130209103

x52 = -86.3937979737193

x53 = 78.5398163397448

x54 = -9.42477796076938

x55 = 1.5707963267949

x56 = 76.9690200129499

x56 = 76.9690200129499

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(cos(x)-sin(x))(1-2sin(x)*cos(x))+1=0 la ecuación