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sinX+sin3x=0 la ecuación

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Ha introducido [src]

sin(x) + sin(3*x) = 0

$$\sin{\left(x \right)} + \sin{\left(3 x \right)} = 0$$

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Suma y producto de raíces [src]

suma

  pi   pi     
- -- + -- + pi
  2    2

$$\left(- \frac{\pi}{2} + \frac{\pi}{2}\right) + \pi$$

pi

$$\pi$$

producto

  -pi  pi   
0*----*--*pi
   2   2

$$\pi \frac{\pi}{2} \cdot 0 \left(- \frac{\pi}{2}\right)$$

$$0$$

Respuesta rápida [src]

x1 = 0

$$x_{1} = 0$$

     -pi 
x2 = ----
      2

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

     pi
x3 = --
     2

$$x_{3} = \frac{\pi}{2}$$

x4 = pi

$$x_{4} = \pi$$

x4 = pi

Respuesta numérica [src]

x1 = 65.9734457253857

x2 = 67.5442422018325

x3 = -21.9911485751286

x4 = 21.9911485751286

x5 = -51.8362786906154

x6 = 51.8362788934209

x7 = -15.707963267949

x8 = -80.1106125824842

x9 = 20.4203521537986

x10 = 9.42477796076938

x11 = 73.8274274722061

x12 = 89.5353907744432

x13 = -92.6769836764771

x14 = 6.28318530717959

x15 = 7.85398173541774

x16 = -89.5353907394375

x17 = -39.2699083096144

x18 = 28.2743338823081

x19 = -94.2477796076938

x20 = 26.7035374084741

x21 = -29.8451300981866

x22 = 248.185819633594

x23 = -61.261056881309

x24 = 23.5619450555027

x25 = -58.1194640027517

x26 = -53.4070751110265

x27 = -17.278759737384

x28 = 59.6902604182061

x29 = 45.5530936288414

x30 = 7.85398164444075

x31 = 56.5486677646163

x32 = -67.5442421609972

x33 = 86.3937978909611

x34 = 72.2566310325652

x35 = -50.2654824574367

x36 = 36.1283160593477

x37 = 78.5398163397448

x38 = -87.9645943005142

x39 = 37.6991118430775

x40 = -6.28318530717959

x41 = -37.6991118430775

x42 = -43.9822971502571

x43 = 64.4026493118058

x44 = -14.13716684381

x45 = -36.128315423197

x46 = -86.3937978155375

x47 = -1.57079642505341

x48 = 95.8185760508519

x49 = 14.1371670924752

x50 = -72.2566310325652

x51 = -81.6814089933346

x52 = -64.4026492408158

x53 = -65.9734457253857

x54 = 0.0

x55 = -28.2743338823081

x56 = 80.1106131546315

x57 = 43.9822971502571

x58 = 100.530964914873

x59 = -97.3893722612836

x60 = -70.6858349962623

x61 = 81.6814089933346

x62 = -75.398223686155

x63 = -7.85398150264842

x64 = 70.6858345559153

x65 = 42.4115007327518

x66 = -45.5530935824522

x67 = 50.2654824574367

x68 = 94.2477796076938

x69 = 48.6946859820148

x70 = -59.6902604182061

x71 = 12.5663706143592

x72 = -42.4115006663339

x73 = -83.2522054524035

x74 = -73.8274272804402

x75 = -95.8185758682892

x76 = 92.6769831301454

x77 = 4.71238883532779

x78 = 34.5575191894877

x79 = -23.561945003804

x80 = 15.707963267949

x81 = 87.9645943005142

x82 = 29.8451303144929

x83 = -20.4203520921076

x84 = 1.57079648184495

x85 = -9.42477796076938

x86 = -95.818575585294

x87 = -31.4159265358979

x87 = -31.4159265358979