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cot(3*x)+1=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
cot(3*x) + 1 = 0
$$\cot{\left(3 x \right)} + 1 = 0$$
Solución detallada
Tenemos la ecuación
$$\cot{\left(3 x \right)} + 1 = 0$$
cambiamos
$$\cot{\left(3 x \right)} + 1 = 0$$
$$\cot{\left(3 x \right)} + 1 = 0$$
Sustituimos
$$w = \cot{\left(3 x \right)}$$
Transportamos los términos libres (sin w)
del miembro izquierdo al derecho, obtenemos:
$$w = -1$$
Obtenemos la respuesta: w = -1
hacemos cambio inverso
$$\cot{\left(3 x \right)} = w$$
sustituimos w:
Gráfica
Suma y producto de raíces [src]
suma
-pi 
----
 12 
$$- \frac{\pi}{12}$$
=
-pi 
----
 12 
$$- \frac{\pi}{12}$$
producto
-pi 
----
 12 
$$- \frac{\pi}{12}$$
=
-pi 
----
 12 
$$- \frac{\pi}{12}$$
-pi/12
Respuesta rápida [src]
     -pi 
x1 = ----
      12 
$$x_{1} = - \frac{\pi}{12}$$
x1 = -pi/12
Respuesta numérica [src]
x1 = -13.8753675533549
x2 = 56.2868683768171
x3 = 32.2013246992954
x4 = 66.7588438887831
x5 = -27.4889357189107
x6 = 10.2101761241668
x7 = 2.87979326579064
x8 = 93.9859802198946
x9 = 80.3724120543389
x10 = 44.7676953136546
x11 = 36.3901149040818
x12 = -21.2057504117311
x13 = 18.5877565337396
x14 = -91.3679863419031
x15 = -47.3856891916461
x16 = 40.5789051088682
x17 = -15.9697626557481
x18 = 82.4668071567321
x19 = 84.5612022591253
x20 = -95.5567765466895
x21 = 24.8709418409192
x22 = -41.1025038844665
x23 = -77.7544181763474
x24 = 12.30457122656
x25 = 88.7499924639117
x26 = 16.4933614313464
x27 = 90.8443875663049
x28 = -5.49778714378214
x29 = -84.037603483527
x30 = 91.8915851175014
x31 = -55.7632696012188
x32 = -71.4712328691678
x33 = -3.40339204138894
x34 = -65.1880475619882
x35 = 60.4756585816035
x36 = -51.5744793964324
x37 = 3.92699081698724
x38 = -35.8665161284835
x39 = -59.9520598060052
x40 = 38.484510006475
x41 = 46.8620904160477
x42 = 98.174770424681
x43 = -79.8488132787406
x44 = 100.269165527074
x45 = -18.0641577581413
x46 = 76.1836218495525
x47 = 62.5700536839967
x48 = -23.3001455141243
x49 = 68.8532389911763
x50 = -53.6688744988256
x51 = -40.0553063332699
x52 = -19.1113553093379
x53 = 58.3812634792103
x54 = -67.2824426643814
x55 = 22.776546738526
x56 = 50.0036830696375
x57 = 34.2957198016886
x58 = -69.3768377667746
x59 = 14.3989663289532
x60 = -33.7721210260903
x61 = 71.9948316447661
x62 = -49.4800842940392
x63 = -75.6600230739542
x64 = -87.1791961371168
x65 = 86.6555973615185
x66 = -37.9609112308767
x67 = 25.9181393921158
x68 = 96.0803753222878
x69 = -1.30899693899575
x70 = 28.012534494509
x71 = -99.7455667514759
x72 = -9.68657734856853
x73 = 54.1924732744239
x74 = 78.2780169519457
x75 = -86.1319985859202
x76 = -93.4623814442964
x77 = -31.6777259236971
x78 = 30.1069295969022
x79 = 6.02138591938044
x80 = -7.59218224617533
x81 = -43.1968989868597
x82 = -25.3945406165175
x83 = -81.9432083811338
x84 = 52.0980781720307
x85 = 20.6821516361328
x86 = -11.7809724509617
x87 = 74.0892267471593
x88 = -62.0464549083984
x89 = 69.9004365423729
x90 = 64.6644487863899
x91 = 8.11578102177363
x92 = -89.27359123951
x93 = -63.093652459595
x94 = -29.5833308213039
x95 = -73.565627971561
x96 = 47.9092879672443
x97 = -45.2912940892529
x98 = -97.6511716490827
x99 = -57.857664703612
x100 = 42.6733002112614
x100 = 42.6733002112614