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La ecuación:
Ecuación 3^x=7
Ecuación x+y-4=0
Ecuación z^2+z+1=0
Ecuación 2+3x=-7x-5
Expresar {x} en función de y en la ecuación:
-11*x-3*y=14
-20*x-6*y=4
2*x-15*y=-1
8*x+3*y=4
Expresiones idénticas
sinx*(cosx*sinx- uno)= cero
seno de x multiplicar por ( coseno de x multiplicar por seno de x menos 1) es igual a 0
seno de x multiplicar por ( coseno de x multiplicar por seno de x menos uno) es igual a cero
sinx(cosxsinx-1)=0
sinxcosxsinx-1=0
sinx*(cosx*sinx-1)=O
Expresiones semejantes
sinx*(cosx*sinx+1)=0
Expresiones con funciones
sinx
Sinx=3
sinx=6,2+2x
sinx=(3-i)/4
Sinx^2-√3*sinx*cosx=0
sinx=-1,8
cosx
cosx+sinx=sqrt2*sin(2x)
cosx/3=sqrt(x-1)
Cosx=2/5
cosX=o
cosx*cos3x-sinz*sin3x=-1/2
sinx
Sinx=3
sinx=6,2+2x
sinx=(3-i)/4
Sinx^2-√3*sinx*cosx=0
sinx=-1,8

sinx(cosxsinx-1)=0 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

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

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

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

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*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   //

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

      /    /                       _____________\\       /    /                       _____________\\       /    /             _____________          \\       /    /                         _____________\\         /    /                       _____________\\         /    /                       _____________\\         /    /             _____________          \\         /    /                         _____________\\
      |    |        ___     ___   /         ___ ||       |    |        ___     ___   /         ___ ||       |    |      ___   /         ___        ___||       |    |          ___     ___   /         ___ ||         |    |        ___     ___   /         ___ ||         |    |        ___     ___   /         ___ ||         |    |      ___   /         ___        ___||         |    |          ___     ___   /         ___ ||
      |    |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*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                2           //       \    \2      2                2           //       \    \2             2                 2   //       \    \  2      2                2           //         \    \2      2                2           //         \    \2      2                2           //         \    \2             2                 2   //         \    \  2      2                2           //

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

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 |||
0*|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   ///

$$0 \left(2 \operatorname{re}{\left(\operatorname{atan}{\left(- \frac{1}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(- \frac{1}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)}\right) \left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)}\right) \left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} + \frac{\sqrt{2} \sqrt{1 + \sqrt{3} i}}{2} + \frac{\sqrt{3} i}{2} \right)}\right)}\right) \left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{3} i}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} \right)}\right)} - 2 i \operatorname{im}{\left(\operatorname{atan}{\left(\frac{1}{2} - \frac{\sqrt{3} i}{2} + \frac{\sqrt{2} \sqrt{1 - \sqrt{3} i}}{2} \right)}\right)}\right)$$

$$0$$

Respuesta rápida [src]

x1 = 0

$$x_{1} = 0$$

         /    /                         _____________\\         /    /                         _____________\\
         |    |          ___     ___   /         ___ ||         |    |          ___     ___   /         ___ ||
         |    |  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   //

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

x5 = -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))

Respuesta numérica [src]

x1 = 72.2566310325652

x2 = -59.6902604182061

x3 = 3.14159265358979

x4 = -43.9822971502571

x5 = 81.6814089933346

x6 = -100.530964914873

x7 = 28.2743338823081

x8 = 65.9734457253857

x9 = -31.4159265358979

x10 = -9.42477796076938

x11 = 40.8407044966673

x12 = 56.5486677646163

x13 = -56.5486677646163

x14 = 12.5663706143592

x15 = 43.9822971502571

x16 = 100.530964914873

x17 = -3.14159265358979

x18 = -15.707963267949

x19 = 59.6902604182061

x20 = 6.28318530717959

x21 = 9.42477796076938

x22 = -53.4070751110265

x23 = -47.1238898038469

x24 = -87.9645943005142

x25 = 69.1150383789755

x26 = 21.9911485751286

x27 = 87.9645943005142

x28 = 18.8495559215388

x29 = -84.8230016469244

x30 = -72.2566310325652

x31 = 25.1327412287183

x32 = 37.6991118430775

x33 = -25.1327412287183

x34 = 0.0

x35 = 50.2654824574367

x36 = -6.28318530717959

x37 = -65.9734457253857

x38 = -21.9911485751286

x39 = -62.8318530717959

x40 = 75.398223686155

x41 = 84.8230016469244

x42 = 53.4070751110265

x43 = 34.5575191894877

x44 = -28.2743338823081

x45 = 15.707963267949

x46 = -91.106186954104

x47 = 47.1238898038469

x48 = 97.3893722612836

x49 = -69.1150383789755

x50 = 94.2477796076938

x51 = -18.8495559215388

x52 = -50.2654824574367

x53 = -37.6991118430775

x54 = -81.6814089933346

x55 = 62.8318530717959

x56 = 78.5398163397448

x57 = 31.4159265358979

x58 = -78.5398163397448

x59 = -40.8407044966673

x60 = -97.3893722612836

x61 = -75.398223686155

x62 = 91.106186954104

x63 = -12.5663706143592

x64 = -94.2477796076938

x65 = -34.5575191894877

x65 = -34.5575191894877

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Expresiones idénticas

Expresiones semejantes

Expresiones con funciones

sinx*(cosx*sinx-1)=0 la ecuación

Solución numérica:

Solución

sinx(cosxsinx-1)=0 la ecuación