Sr Examen

Otras calculadoras


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

sin(x)-sin(3*x)=0 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

v

Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
sin(x) - sin(3*x) = 0
$$\sin{\left(x \right)} - \sin{\left(3 x \right)} = 0$$
Gráfica
Suma y producto de raíces [src]
suma
  3*pi   pi   pi   3*pi
- ---- - -- + -- + ----
   4     4    4     4  
$$\left(\left(- \frac{3 \pi}{4} - \frac{\pi}{4}\right) + \frac{\pi}{4}\right) + \frac{3 \pi}{4}$$
=
0
$$0$$
producto
  -3*pi -pi  pi 3*pi
0*-----*----*--*----
    4    4   4   4  
$$\frac{3 \pi}{4} \frac{\pi}{4} \cdot - \frac{\pi}{4} \cdot 0 \left(- \frac{3 \pi}{4}\right)$$
=
0
$$0$$
0
Respuesta rápida [src]
x1 = 0
$$x_{1} = 0$$
     -3*pi
x2 = -----
       4  
$$x_{2} = - \frac{3 \pi}{4}$$
     -pi 
x3 = ----
      4  
$$x_{3} = - \frac{\pi}{4}$$
     pi
x4 = --
     4 
$$x_{4} = \frac{\pi}{4}$$
     3*pi
x5 = ----
      4  
$$x_{5} = \frac{3 \pi}{4}$$
x5 = 3*pi/4
Respuesta numérica [src]
x1 = 172.002197784041
x2 = 40.0553063332699
x3 = -3.92699081698724
x4 = 100.530964914873
x5 = -13.3517687777566
x6 = 8.63937979737193
x7 = -54.1924732744239
x8 = -62.0464549083984
x9 = -81.6814089933346
x10 = 25.9181393921158
x11 = 65.9734457253857
x12 = -12.5663706143592
x13 = -280.387144332889
x14 = -91.8915851175014
x15 = 52.621676947629
x16 = -43.9822971502571
x17 = 41.6261026600648
x18 = 18.0641577581413
x19 = -40.0553063332699
x20 = 78.5398163397448
x21 = 63.6172512351933
x22 = -33.7721210260903
x23 = 62.0464549083984
x24 = 21.9911485751286
x25 = 2.35619449019234
x26 = 85.6083998103219
x27 = -55.7632696012188
x28 = -87.9645943005142
x29 = 94.2477796076938
x30 = -32.2013246992954
x31 = -57.3340659280137
x32 = -76.1836218495525
x33 = -47.9092879672443
x34 = -41.6261026600648
x35 = -84.037603483527
x36 = -24.3473430653209
x37 = 98.174770424681
x38 = 19.6349540849362
x39 = -69.9004365423729
x40 = -21.9911485751286
x41 = -15.707963267949
x42 = 68.329640215578
x43 = -59.6902604182061
x44 = -25.9181393921158
x45 = -35.3429173528852
x46 = 28.2743338823081
x47 = 76.1836218495525
x48 = 54.1924732744239
x49 = 101.316363078271
x50 = 317.300858012569
x51 = 24.3473430653209
x52 = -90.3207887907066
x53 = 47.9092879672443
x54 = -65.9734457253857
x55 = 74.6128255227576
x56 = -30.6305283725005
x57 = -128.805298797182
x58 = -85.6083998103219
x59 = -98.174770424681
x60 = 72.2566310325652
x61 = 0.0
x62 = -63.6172512351933
x63 = 69.9004365423729
x64 = 10.2101761241668
x65 = -77.7544181763474
x66 = 43.9822971502571
x67 = 32.2013246992954
x68 = 46.3384916404494
x69 = 87.9645943005142
x70 = -19.6349540849362
x71 = -2.35619449019234
x72 = -11.7809724509617
x73 = -72.2566310325652
x74 = -37.6991118430775
x75 = -43.1968989868597
x76 = 69.1150383789755
x77 = -46.3384916404494
x78 = -79.3252145031423
x79 = -68.329640215578
x80 = 30.6305283725005
x81 = 84.037603483527
x82 = 50.2654824574367
x83 = 96.6039740978861
x84 = -18.0641577581413
x85 = 91.8915851175014
x86 = -99.7455667514759
x87 = 6.28318530717959
x88 = 60.4756585816035
x89 = 90.3207887907066
x90 = 3.92699081698724
x91 = -51.0508806208341
x91 = -51.0508806208341
Gráfico
sin(x)-sin(3*x)=0 la ecuación