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ctg4x=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
cot(4*x) = 0
cot⁡(4x)=0\cot{\left(4 x \right)} = 0
Simplificar
Solución detallada
Tenemos la ecuación
cot⁡(4x)=0\cot{\left(4 x \right)} = 0
cambiamos
cot⁡(4x)−1=0\cot{\left(4 x \right)} - 1 = 0
cot⁡(4x)−1=0\cot{\left(4 x \right)} - 1 = 0
Sustituimos
w=cot⁡(4x)w = \cot{\left(4 x \right)}
Transportamos los términos libres (sin w)
del miembro izquierdo al derecho, obtenemos:
w=1w = 1
Obtenemos la respuesta: w = 1
hacemos cambio inverso
cot⁡(4x)=w\cot{\left(4 x \right)} = w
sustituimos w:
Gráfica
0-80-60-40-2020406080-100100-50005000
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Suma y producto de raíces [src] 
suma
pi
--
8
π8\frac{\pi}{8} 
=
pi
--
8
π8\frac{\pi}{8} 
producto
pi
--
8
π8\frac{\pi}{8} 
=
pi
--
8
π8\frac{\pi}{8} 
pi/8
Respuesta rápida [src] 
     pi
x1 = --
     8
x1=π8x_{1} = \frac{\pi}{8} 
x1 = pi/8
Respuesta numérica [src] 
x1 = 82.0741080750334
x2 = -39.6626072515711
x3 = -67.9369411338793
x4 = 42.0188017417635
x5 = -97.7820713429823
x6 = -83.6449044018282
x7 = 20.0276531666349
x8 = -79.717913584841
x9 = -16.1006623496477
x10 = -87.5718952188155
x11 = -3.53429173528852
x12 = -20.0276531666349
x13 = -25.5254403104171
x14 = -61.6537558266997
x15 = 22.3838476568273
x16 = 9.8174770424681
x17 = -86.0010988920206
x18 = -96.2112750161874
x19 = -30.2378292908018
x20 = 12.1736715326604
x21 = -57.7267650097125
x22 = 40.4480054149686
x23 = 4.31968989868597
x24 = 62.4391539900971
x25 = -12.1736715326604
x26 = 78.1471172580461
x27 = 1.96349540849362
x28 = 92.2842841992002
x29 = 58.5121631731099
x30 = 60.0829594999048
x31 = -21.5984494934298
x32 = 86.0010988920206
x33 = 23.9546439836222
x34 = -78.1471172580461
x35 = 71.8639319508665
x36 = 49.872783375738
x37 = -34.164820107789
x38 = -52.2289778659303
x39 = -5.89048622548086
x40 = -42.0188017417635
x41 = -74.2201264410589
x42 = 88.3572933822129
x43 = -7.46128255227576
x44 = 100.138265833175
x45 = -82.0741080750334
x46 = -38.0918109247762
x47 = 27.8816348006094
x48 = -71.8639319508665
x49 = 14.5298660228528
x50 = 5.89048622548086
x51 = 26.3108384738145
x52 = -60.0829594999048
x53 = 52.2289778659303
x54 = -45.9457925587507
x55 = 75.7909227678538
x56 = 30.2378292908018
x57 = -100.138265833175
x58 = -31.8086256175967
x59 = -93.8550805259951
x60 = 48.3019870489431
x61 = -49.872783375738
x62 = -23.9546439836222
x63 = 45.9457925587507
x64 = -35.7356164345839
x65 = 31.8086256175967
x66 = -64.009950316892
x67 = -91.4988860358027
x68 = -89.9280897090078
x69 = -17.6714586764426
x70 = 16.1006623496477
x71 = 97.7820713429823
x72 = 44.3749962319558
x73 = 66.3661448070844
x74 = 84.4303025652257
x75 = -75.7909227678538
x76 = 93.8550805259951
x77 = 34.164820107789
x78 = -65.5807466436869
x79 = -56.1559686829176
x80 = 8.24668071567321
x81 = -69.5077374606742
x82 = -47.5165888855456
x83 = -1.96349540849362
x84 = 67.9369411338793
x85 = -9.8174770424681
x86 = -13.7444678594553
x87 = -53.7997741927252
x88 = 53.7997741927252
x89 = 18.45685683984
x90 = 89.9280897090078
x91 = 36.5210145979813
x92 = -27.8816348006094
x93 = 56.1559686829176
x94 = 96.2112750161874
x95 = 38.0918109247762
x96 = 74.2201264410589
x97 = -43.5895980685584
x98 = 70.2931356240716
x99 = 80.5033117482384
x100 = 64.009950316892
x100 = 64.009950316892
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