Sr Examen

Lang:

Otras calculadoras

¿Cómo usar?
La ecuación:
Ecuación x+4=0
Ecuación x*(x^2+8*x+16)=5*(x+4)
Ecuación 7+8x=-2x-5
Ecuación ((57.6/(150-x))^0.15)*((150+x)+10)/171.712=1
Expresar {x} en función de y en la ecuación:
18*x-11*y=2
-18*x-2*y=9
-9*x+1*y=3
9*x+10*y=5
Expresiones idénticas
cuatro *cos^ cuatro (x)- cuatro *cos^ dos (x)+3cosxsinx+ uno = cero
4 multiplicar por coseno de en el grado 4(x) menos 4 multiplicar por coseno de al cuadrado (x) más 3 coseno de x seno de x más 1 es igual a 0
cuatro multiplicar por coseno de en el grado cuatro (x) menos cuatro multiplicar por coseno de en el grado dos (x) más 3 coseno de x seno de x más uno es igual a cero
4*cos4(x)-4*cos2(x)+3cosxsinx+1=0
4*cos4x-4*cos2x+3cosxsinx+1=0
4*cos⁴(x)-4*cos²(x)+3cosxsinx+1=0
4*cos en el grado 4(x)-4*cos en el grado 2(x)+3cosxsinx+1=0
4cos^4(x)-4cos^2(x)+3cosxsinx+1=0
4cos4(x)-4cos2(x)+3cosxsinx+1=0
4cos4x-4cos2x+3cosxsinx+1=0
4cos^4x-4cos^2x+3cosxsinx+1=0
4*cos^4(x)-4*cos^2(x)+3cosxsinx+1=O
Expresiones semejantes
4*cos^4(x)-4*cos^2(x)-3cosxsinx+1=0
4*cos^4(x)-4*cos^2(x)+3cosxsinx-1=0
4*cos^4(x)+4*cos^2(x)+3cosxsinx+1=0
Expresiones con funciones
Coseno cos
cos2x=1/2
cos(pi+x)=1/2
cos(4*x)=0
cos(x)=-3
cos(2x)=1
Coseno cos
cos2x=1/2
cos(pi+x)=1/2
cos(4*x)=0
cos(x)=-3
cos(2x)=1

4cos^4(x)-4cos^2(x)+3cosxsinx+1=0 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

     4           2                             
4*cos (x) - 4*cos (x) + 3*cos(x)*sin(x) + 1 = 0

\left(\left(4 \cos^{4}{\left(x \right)} - 4 \cos^{2}{\left(x \right)}\right) + \sin{\left(x \right)} 3 \cos{\left(x \right)}\right) + 1 = 0

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Respuesta rápida [src]

            /                  ___________\
            |       ___       /       ___ |
x1 = -2*atan\-2 + \/ 3  + 2*\/  2 - \/ 3  /

x_{1} = - 2 \operatorname{atan}{\left(-2 + 2 \sqrt{2 - \sqrt{3}} + \sqrt{3} \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   \/ 2 *\/  1 - I*\/ 3     I*\/ 3 ||         |    |1   \/ 2 *\/  1 - I*\/ 3     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{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)}

           /                 ___________\
           |      ___       /       ___ |
x6 = 2*atan\2 - \/ 3  + 2*\/  2 - \/ 3  /

x_{6} = 2 \operatorname{atan}{\left(- \sqrt{3} + 2 \sqrt{2 - \sqrt{3}} + 2 \right)}

           /                 ___________\
           |      ___       /       ___ |
x7 = 2*atan\2 + \/ 3  + 2*\/  2 + \/ 3  /

x_{7} = 2 \operatorname{atan}{\left(\sqrt{3} + 2 + 2 \sqrt{\sqrt{3} + 2} \right)}

           /                 ___________\
           |      ___       /       ___ |
x8 = 2*atan\2 + \/ 3  - 2*\/  2 + \/ 3  /

x_{8} = 2 \operatorname{atan}{\left(- 2 \sqrt{\sqrt{3} + 2} + \sqrt{3} + 2 \right)}

x8 = 2*atan(-2*sqrt(sqrt(3) + 2) + sqrt(3) + 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   \/ 2 *\/  1 - I*\/ 3     I*\/ 3 ||         |    |1   \/ 2 *\/  1 - I*\/ 3     I*\/ 3 ||         |      ___       /       ___ |         |      ___       /       ___ |         |      ___       /       ___ |
- 2*atan\-2 + \/ 3  + 2*\/  2 - \/ 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*atan\2 - \/ 3  + 2*\/  2 - \/ 3  / + 2*atan\2 + \/ 3  + 2*\/  2 + \/ 3  / + 2*atan\2 + \/ 3  - 2*\/  2 + \/ 3  /
                                              \    \  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 \operatorname{atan}{\left(- 2 \sqrt{\sqrt{3} + 2} + \sqrt{3} + 2 \right)} + \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{atan}{\left(-2 + 2 \sqrt{2 - \sqrt{3}} + \sqrt{3} \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)\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) + 2 \operatorname{atan}{\left(- \sqrt{3} + 2 \sqrt{2 - \sqrt{3}} + 2 \right)}\right) + 2 \operatorname{atan}{\left(\sqrt{3} + 2 + 2 \sqrt{\sqrt{3} + 2} \right)}\right)

                                              /    /                       _____________\\       /    /                       _____________\\       /    /             _____________          \\                                                                                                                            /    /                         _____________\\         /    /                       _____________\\         /    /                       _____________\\         /    /             _____________          \\         /    /                         _____________\\
        /                  ___________\       |    |        ___     ___   /         ___ ||       |    |        ___     ___   /         ___ ||       |    |      ___   /         ___        ___||         /                 ___________\         /                 ___________\         /                 ___________\       |    |          ___     ___   /         ___ ||         |    |        ___     ___   /         ___ ||         |    |        ___     ___   /         ___ ||         |    |      ___   /         ___        ___||         |    |          ___     ___   /         ___ ||
        |       ___       /       ___ |       |    |1   I*\/ 3    \/ 2 *\/  1 + I*\/ 3  ||       |    |1   I*\/ 3    \/ 2 *\/  1 + I*\/ 3  ||       |    |1   \/ 2 *\/  1 - I*\/ 3     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   I*\/ 3    \/ 2 *\/  1 - I*\/ 3  ||
- 2*atan\-2 + \/ 3  + 2*\/  2 - \/ 3  / - 2*re|atan|- + ------- + ----------------------|| - 2*re|atan|- + ------- - ----------------------|| - 2*re|atan|- + ---------------------- - -------|| + 2*atan\2 + \/ 3  - 2*\/  2 + \/ 3  / + 2*atan\2 + \/ 3  + 2*\/  2 + \/ 3  / + 2*atan\2 - \/ 3  + 2*\/  2 - \/ 3  / + 2*re|atan|- - + ------- + ----------------------|| - 2*I*im|atan|- + ------- + ----------------------|| - 2*I*im|atan|- + ------- - ----------------------|| - 2*I*im|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 \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 \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 \operatorname{atan}{\left(-2 + 2 \sqrt{2 - \sqrt{3}} + \sqrt{3} \right)} + 2 \operatorname{atan}{\left(- 2 \sqrt{\sqrt{3} + 2} + \sqrt{3} + 2 \right)} - 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 \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 \operatorname{atan}{\left(- \sqrt{3} + 2 \sqrt{2 - \sqrt{3}} + 2 \right)} + 2 \operatorname{atan}{\left(\sqrt{3} + 2 + 2 \sqrt{\sqrt{3} + 2} \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)} - 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)} - 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)} + 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)}

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   \/ 2 *\/  1 - I*\/ 3     I*\/ 3 ||         |    |1   \/ 2 *\/  1 - I*\/ 3     I*\/ 3 |||       |      ___       /       ___ |       |      ___       /       ___ |       |      ___       /       ___ |
-2*atan\-2 + \/ 3  + 2*\/  2 - \/ 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*atan\2 - \/ 3  + 2*\/  2 - \/ 3  /*2*atan\2 + \/ 3  + 2*\/  2 + \/ 3  /*2*atan\2 + \/ 3  - 2*\/  2 + \/ 3  /
                                       \    \    \  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{atan}{\left(-2 + 2 \sqrt{2 - \sqrt{3}} + \sqrt{3} \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) 2 \operatorname{atan}{\left(- \sqrt{3} + 2 \sqrt{2 - \sqrt{3}} + 2 \right)} 2 \operatorname{atan}{\left(\sqrt{3} + 2 + 2 \sqrt{\sqrt{3} + 2} \right)} 2 \operatorname{atan}{\left(- 2 \sqrt{\sqrt{3} + 2} + \sqrt{3} + 2 \right)}

    /    /    /                       _____________\\     /    /                       _____________\\\ /    /    /                       _____________\\     /    /                       _____________\\\ /    /    /             _____________          \\     /    /             _____________          \\\ /    /    /                         _____________\\     /    /                         _____________\\\                                                                                                                                             
    |    |    |        ___     ___   /         ___ ||     |    |        ___     ___   /         ___ ||| |    |    |        ___     ___   /         ___ ||     |    |        ___     ___   /         ___ ||| |    |    |      ___   /         ___        ___||     |    |      ___   /         ___        ___||| |    |    |          ___     ___   /         ___ ||     |    |          ___     ___   /         ___ |||     /                  ___________\     /                 ___________\     /                 ___________\     /                 ___________\
    |    |    |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|- - + ------- + ----------------------|||*atan\-2 + \/ 3  + 2*\/  2 - \/ 3  /*atan\2 + \/ 3  - 2*\/  2 + \/ 3  /*atan\2 + \/ 3  + 2*\/  2 + \/ 3  /*atan\2 - \/ 3  + 2*\/  2 - \/ 3  /
    \    \    \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) \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) \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) \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) \operatorname{atan}{\left(-2 + 2 \sqrt{2 - \sqrt{3}} + \sqrt{3} \right)} \operatorname{atan}{\left(- \sqrt{3} + 2 \sqrt{2 - \sqrt{3}} + 2 \right)} \operatorname{atan}{\left(\sqrt{3} + 2 + 2 \sqrt{\sqrt{3} + 2} \right)} \operatorname{atan}{\left(- 2 \sqrt{\sqrt{3} + 2} + \sqrt{3} + 2 \right)}

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)))*(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)))*(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)))*(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)))*atan(-2 + sqrt(3) + 2*sqrt(2 - sqrt(3)))*atan(2 + sqrt(3) - 2*sqrt(2 + sqrt(3)))*atan(2 + sqrt(3) + 2*sqrt(2 + sqrt(3)))*atan(2 - sqrt(3) + 2*sqrt(2 - sqrt(3)))

Respuesta numérica [src]

x1 = -97.6511716490827

x2 = -42.1497014356631

x3 = -20.1585528605345

x4 = 100.269165527074

x5 = 71.9948316447661

x6 = 58.3812634792103

x7 = 78.2780169519457

x8 = -100.792764302673

x9 = -9.68657734856853

x10 = -95.5567765466895

x11 = -88.2263936883134

x12 = 50.0036830696375

x13 = 1.83259571459405

x14 = -70.4240353179712

x15 = -0.261799387799149

x16 = 30.1069295969022

x17 = -13.8753675533549

x18 = -31.6777259236971

x19 = 89.7971900151083

x20 = -7283.52076796014

x21 = 87.7027949127151

x22 = 23.8237442897226

x23 = -59.9520598060052

x24 = -345.836991282676

x25 = -44.2440965380563

x26 = -7.59218224617533

x27 = 8.11578102177363

x28 = 74.0892267471593

x29 = -79.8488132787406

x30 = -94.5095789954929

x31 = -92.4151838930998

x32 = -86.1319985859202

x33 = 62.5700536839967

x34 = 28.012534494509

x35 = 43.720497762458

x36 = 6.02138591938044

x37 = -29.5833308213039

x38 = -66.2352451131848

x39 = 65.7116463375865

x40 = 17.540558982543

x41 = 12.30457122656

x42 = -73.565627971561

x43 = -35.8665161284835

x44 = -64.1408500107916

x45 = 52.0980781720307

x46 = 34.2957198016886

x47 = -75.6600230739542

x48 = 36.3901149040818

x49 = -15.9697626557481

x50 = -37.9609112308767

x51 = 84.5612022591253

x52 = 14.3989663289532

x53 = 80.3724120543389

x54 = -53.6688744988256

x55 = 45.8148928648512

x56 = -22.2529479629277

x57 = -57.857664703612

x58 = 56.2868683768171

x59 = 124.354709204596

x60 = -51.5744793964324

x61 = 96.0803753222878

x62 = 93.9859802198946

x63 = -81.9432083811338

x64 = 67.8060414399797

x65 = 21.7293491873294

x65 = 21.7293491873294

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

Expresiones con funciones

4*cos^4(x)-4*cos^2(x)+3cosxsinx+1=0 la ecuación

Solución numérica:

Solución

4cos^4(x)-4cos^2(x)+3cosxsinx+1=0 la ecuación