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cot(4*x)+1=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
cot(4*x) + 1 = 0
$$\cot{\left(4 x \right)} + 1 = 0$$
Solución detallada
Tenemos la ecuación
$$\cot{\left(4 x \right)} + 1 = 0$$
cambiamos
$$\cot{\left(4 x \right)} + 1 = 0$$
$$\cot{\left(4 x \right)} + 1 = 0$$
Sustituimos
$$w = \cot{\left(4 x \right)}$$
Transportamos los términos libres (sin w)
del miembro izquierdo al derecho, obtenemos:
$$w = -1$$
Obtenemos la respuesta: w = -1
hacemos cambio inverso
$$\cot{\left(4 x \right)} = w$$
sustituimos w:
Gráfica
Suma y producto de raíces [src]
suma
-pi 
----
 16 
$$- \frac{\pi}{16}$$
=
-pi 
----
 16 
$$- \frac{\pi}{16}$$
producto
-pi 
----
 16 
$$- \frac{\pi}{16}$$
=
-pi 
----
 16 
$$- \frac{\pi}{16}$$
-pi/16
Respuesta rápida [src]
     -pi 
x1 = ----
      16 
$$x_{1} = - \frac{\pi}{16}$$
x1 = -pi/16
Respuesta numérica [src]
x1 = -21.4020999525805
x2 = -71.6675824100172
x3 = 28.0779843414588
x4 = -39.4662577107218
x5 = -25.3290907695677
x6 = -5.6941366846315
x7 = 62.6355035309465
x8 = -33.9684705669396
x9 = 58.7085127139593
x10 = -31.6122760767473
x11 = -8.05033117482385
x12 = -63.8136007760427
x13 = 90.1244392498572
x14 = -37.8954613839269
x15 = 48.4983365897924
x16 = 6.08683576633022
x17 = -67.7405915930299
x18 = -69.3113879198248
x19 = -9.62112750161874
x20 = 97.9784208838317
x21 = -53.6034246518758
x22 = 74.4164759819082
x23 = 84.6266521060751
x24 = -83.4485548609789
x25 = 70.489485164921
x26 = 72.0602814917159
x27 = -49.6764338348886
x28 = 68.1332906747286
x29 = -91.3025364949534
x30 = -79.5215640439916
x31 = 32.004975158446
x32 = -41.8224522009141
x33 = -93.6587309851457
x34 = -27.6852852597601
x35 = -65.3843971028376
x36 = 16.2970118904971
x37 = -74.0237769002095
x38 = 20.2240027074843
x39 = 80.6996612890878
x40 = 66.5624943479338
x41 = 26.5071880146639
x42 = 78.3434667988955
x43 = -81.877758534184
x44 = 53.9961237335746
x45 = 86.1974484328699
x46 = 35.9319659754333
x47 = -52.0326283250809
x48 = 52.4253274067797
x49 = 56.3523182237669
x50 = 42.2151512826128
x51 = 50.0691329165873
x52 = 38.2881604656256
x53 = 10.0138265833175
x54 = 40.644354955818
x55 = -19.8313036257856
x56 = -45.7494430179014
x57 = 24.1509935244715
x58 = -55.9596191420682
x59 = 2.15984494934298
x60 = 8.44303025652257
x61 = 64.2062998577414
x62 = 92.4806337400495
x63 = -43.393248527709
x64 = -15.9043128087983
x65 = -35.5392668937345
x66 = 22.5801971976766
x67 = -85.8047493511712
x68 = 60.2793090407542
x69 = 94.0514300668444
x70 = -87.3755456779661
x71 = 96.4076245570368
x72 = -47.3202393446963
x73 = -23.7582944427728
x74 = 88.5536429230623
x75 = 18.6532063806894
x76 = 82.2704576158827
x77 = 75.9872723087031
x78 = -1.76714586764426
x79 = 34.3611696486384
x80 = -97.585721802133
x81 = -13.548118318606
x82 = 12.3700210735098
x83 = -57.5304154688631
x84 = 13.9408174003047
x85 = -17.4751091355932
x86 = 30.4341788316511
x87 = 4.51603943953533
x88 = -99.9419162923253
x89 = 100.334615374024
x90 = -3.33794219443916
x91 = -30.0414797499524
x92 = -77.9507677171967
x93 = -96.0149254753381
x94 = -11.9773219918111
x95 = -89.7317401681585
x96 = -75.5945732270044
x97 = 46.1421420996001
x98 = -59.8866099590554
x99 = 44.5713457728052
x100 = -61.4574062858503
x100 = -61.4574062858503