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sin(4*x)=0

sin(4*x)=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
sin(4*x) = 0
$$\sin{\left(4 x \right)} = 0$$
Solución detallada
Tenemos la ecuación
$$\sin{\left(4 x \right)} = 0$$
es la ecuación trigonométrica más simple
cambiando el signo de 0

Obtenemos:
$$\sin{\left(4 x \right)} = 0$$
Esta ecuación se reorganiza en
$$4 x = 2 \pi n + \operatorname{asin}{\left(0 \right)}$$
$$4 x = 2 \pi n - \operatorname{asin}{\left(0 \right)} + \pi$$
O
$$4 x = 2 \pi n$$
$$4 x = 2 \pi n + \pi$$
, donde n es cualquier número entero
Dividamos ambos miembros de la ecuación obtenida en
$$4$$
obtenemos la respuesta:
$$x_{1} = \frac{\pi n}{2}$$
$$x_{2} = \frac{\pi n}{2} + \frac{\pi}{4}$$
Gráfica
Suma y producto de raíces [src]
suma
pi
--
4 
$$\frac{\pi}{4}$$
=
pi
--
4 
$$\frac{\pi}{4}$$
producto
  pi
0*--
  4 
$$0 \frac{\pi}{4}$$
=
0
$$0$$
0
Respuesta rápida [src]
x1 = 0
$$x_{1} = 0$$
     pi
x2 = --
     4 
$$x_{2} = \frac{\pi}{4}$$
x2 = pi/4
Respuesta numérica [src]
x1 = 40.0553063332699
x2 = -3.92699081698724
x3 = -80.1106126665397
x4 = -88.7499924639117
x5 = -54.1924732744239
x6 = 17.2787595947439
x7 = -62.0464549083984
x8 = -81.6814089933346
x9 = -23.5619449019235
x10 = 25.9181393921158
x11 = 65.9734457253857
x12 = -73.8274273593601
x13 = -91.8915851175014
x14 = -36.1283155162826
x15 = 86.3937979737193
x16 = -43.9822971502571
x17 = 18.0641577581413
x18 = -40.0553063332699
x19 = -64.4026493985908
x20 = -33.7721210260903
x21 = 62.0464549083984
x22 = 21.9911485751286
x23 = 2.35619449019234
x24 = 10.9955742875643
x25 = 42.4115008234622
x26 = -55.7632696012188
x27 = -87.9645943005142
x28 = 14.1371669411541
x29 = -7.85398163397448
x30 = 94.2477796076938
x31 = 80.1106126665397
x32 = -32.2013246992954
x33 = -76.1836218495525
x34 = -29.845130209103
x35 = -47.9092879672443
x36 = -41.6261026600648
x37 = -84.037603483527
x38 = 83.2522053201295
x39 = 98.174770424681
x40 = -69.9004365423729
x41 = -21.9911485751286
x42 = -15.707963267949
x43 = 68.329640215578
x44 = -69.1150383789755
x45 = -59.6902604182061
x46 = -25.9181393921158
x47 = 28.2743338823081
x48 = 76.1836218495525
x49 = 54.1924732744239
x50 = 24.3473430653209
x51 = 47.9092879672443
x52 = 51.8362787842316
x53 = -65.9734457253857
x54 = 95.8185759344887
x55 = -95.8185759344887
x56 = -85.6083998103219
x57 = -98.174770424681
x58 = 58.1194640914112
x59 = 29.845130209103
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 = -58.1194640914112
x69 = 46.3384916404494
x70 = 36.1283155162826
x71 = 87.9645943005142
x72 = -19.6349540849362
x73 = -45.553093477052
x74 = 54.9778714378214
x75 = 181.426975744811
x76 = -11.7809724509617
x77 = -37.6991118430775
x78 = -14.1371669411541
x79 = 84.037603483527
x80 = 50.2654824574367
x81 = -109.170344712245
x82 = -18.0641577581413
x83 = 20.4203522483337
x84 = 91.8915851175014
x85 = -99.7455667514759
x86 = 6.28318530717959
x87 = -10.9955742875643
x88 = 90.3207887907066
x89 = -51.8362787842316
x90 = 64.4026493985908
x91 = 3.92699081698724
x92 = 73.8274273593601
x93 = -1.5707963267949
x94 = 7.85398163397448
x94 = 7.85398163397448
Gráfico
sin(4*x)=0 la ecuación