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sinxcos4x+cosx=cos4xsin2x+cos2x la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
sin(x)*cos(4*x) + cos(x) = cos(4*x)*sin(2*x) + cos(2*x)
$$\sin{\left(x \right)} \cos{\left(4 x \right)} + \cos{\left(x \right)} = \sin{\left(2 x \right)} \cos{\left(4 x \right)} + \cos{\left(2 x \right)}$$
Gráfica
Respuesta rápida [src]
x1 = 0
$$x_{1} = 0$$
     -pi 
x2 = ----
      2  
$$x_{2} = - \frac{\pi}{2}$$
x2 = -pi/2
Suma y producto de raíces [src]
suma
-pi 
----
 2  
$$- \frac{\pi}{2}$$
=
-pi 
----
 2  
$$- \frac{\pi}{2}$$
producto
  -pi 
0*----
   2  
$$0 \left(- \frac{\pi}{2}\right)$$
=
0
$$0$$
0
Respuesta numérica [src]
x1 = -31.1379469495164
x2 = 62.8318530717959
x3 = 37.9770914294591
x4 = 4.40572884937003
x5 = -1545.66358556618
x6 = 86.0871378427046
x7 = 44.2602767366387
x8 = -100.252985328492
x9 = -43.9822971502571
x10 = -722.566310325652
x11 = -69.1150383789755
x12 = 98.9601685880785
x13 = -37.6991118430775
x14 = -56.2706881782347
x15 = -12.5663706143592
x16 = -60.8323911744933
x17 = -51.8362787842316
x18 = -83.2522053201295
x19 = 98.0004964927825
x20 = -14.1371669411541
x21 = 50.2654824574367
x22 = -45.8597536080667
x23 = 67.5442420521806
x24 = 77.3976855834576
x25 = -87.9645943005142
x26 = -32.9867228626928
x27 = 10.9955742875643
x28 = -77.9286921082459
x29 = -27.6632096508092
x30 = -41.9828352529546
x31 = 96.2472415049963
x32 = -1.87745645780956
x33 = 31.4159265358979
x34 = 54.6712113068067
x35 = -54.5492058673138
x36 = 45.9817590475596
x37 = -67.1155764816729
x38 = 88.2425738868958
x39 = 89.9640561978167
x40 = 94.2477796076938
x41 = -71.6455068010663
x42 = -75.1202440997735
x43 = 37.6991118430775
x44 = -33.9463949579888
x45 = 6.28318530717959
x46 = 8.28264720448211
x47 = -39.2699081698724
x48 = 33.4153884332005
x49 = -68.8370587925939
x50 = 36.1283155162826
x51 = 54.0181993425254
x52 = -89.8420507583238
x53 = 52.2649443547392
x54 = 48.3880259996271
x55 = 80.1106126665397
x56 = 0.0
x57 = 73.8274273593601
x58 = -58.1194640914112
x59 = 92.3703231498842
x60 = -10.5669087170566
x61 = 54.9778714378214
x62 = -95.8185759344887
x63 = -6.005205720798
x64 = 29.845130209103
x65 = -25.1327412287183
x66 = 81.9593885797162
x67 = -49.9875028710551
x68 = -85.9651324032117
x69 = 25.1327412287183
x70 = 16.3190874994479
x71 = -35.699649945775
x72 = -8.16064176498915
x73 = 10.0359021922683
x74 = -18.8495559215388
x75 = 25.4107208150999
x76 = -43.7043175638755
x77 = -39.5765683008871
x78 = -98.5315030175709
x79 = -23.1332793314158
x80 = -16.8500940242362
x81 = 18.8495559215388
x82 = -81.6814089933346
x83 = 42.1048406924475
x84 = 60.301384649705
x85 = -93.9698000213122
x86 = 1.99946189730252
x87 = -7.85398163397448
x88 = -79.6819470960321
x89 = 75.398223686155
x89 = 75.398223686155