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cot(-3*x)=-1 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
cot(-3*x) = -1
$$\cot{\left(- 3 x \right)} = -1$$
Solución detallada
Tenemos la ecuación
$$\cot{\left(- 3 x \right)} = -1$$
cambiamos
$$1 - \cot{\left(3 x \right)} = 0$$
$$1 - \cot{\left(3 x \right)} = 0$$
Sustituimos
$$w = \cot{\left(3 x \right)}$$
Transportamos los términos libres (sin w)
del miembro izquierdo al derecho, obtenemos:
$$- w = -1$$
Dividamos ambos miembros de la ecuación en -1
w = -1 / (-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 = 2.35619449019234
x2 = -80.3724120543389
x3 = -38.484510006475
x4 = 11.7809724509617
x5 = -78.2780169519457
x6 = 88.2263936883134
x7 = -58.3812634792103
x8 = 48.4328867428426
x9 = 46.3384916404494
x10 = -14.3989663289532
x11 = -30.1069295969022
x12 = 40.0553063332699
x13 = 57.857664703612
x14 = -71.9948316447661
x15 = -32.2013246992954
x16 = -25.9181393921158
x17 = -56.2868683768171
x18 = 33.7721210260903
x19 = 55.7632696012188
x20 = 95.5567765466895
x21 = 9.68657734856853
x22 = 71.4712328691678
x23 = -8.11578102177363
x24 = -62.5700536839967
x25 = 5.49778714378214
x26 = -69.9004365423729
x27 = 18.0641577581413
x28 = -74.0892267471593
x29 = -85.6083998103219
x30 = -100.269165527074
x31 = -89.7971900151083
x32 = -96.0803753222878
x33 = -84.5612022591253
x34 = 62.0464549083984
x35 = 53.6688744988256
x36 = -63.6172512351933
x37 = -16.4933614313464
x38 = -10.2101761241668
x39 = -47.9092879672443
x40 = 3.40339204138894
x41 = 64.1408500107916
x42 = -21.7293491873294
x43 = -67.8060414399797
x44 = 99.7455667514759
x45 = -23.8237442897226
x46 = 24.3473430653209
x47 = -36.3901149040818
x48 = -82.4668071567321
x49 = -76.1836218495525
x50 = -60.4756585816035
x51 = 42.1497014356631
x52 = -1.83259571459405
x53 = -52.0980781720307
x54 = 22.2529479629277
x55 = -54.1924732744239
x56 = -87.7027949127151
x57 = 7.59218224617533
x58 = -98.174770424681
x59 = 31.6777259236971
x60 = 35.8665161284835
x61 = -65.7116463375865
x62 = -45.8148928648512
x63 = 49.4800842940392
x64 = 13.8753675533549
x65 = 27.4889357189107
x66 = 44.2440965380563
x67 = -41.6261026600648
x68 = 73.565627971561
x69 = -91.8915851175014
x70 = -28.012534494509
x71 = 79.8488132787406
x72 = -43.720497762458
x73 = -18.5877565337396
x74 = 77.7544181763474
x75 = 66.2352451131848
x76 = -19.6349540849362
x77 = 29.5833308213039
x78 = 20.1585528605345
x79 = -34.2957198016886
x80 = -12.30457122656
x81 = -3.92699081698724
x82 = -50.0036830696375
x83 = 90.3207887907066
x84 = -6.02138591938044
x85 = 59.9520598060052
x86 = 86.1319985859202
x87 = 25.3945406165175
x88 = 97.6511716490827
x89 = 37.9609112308767
x90 = -40.5789051088682
x91 = 51.5744793964324
x92 = 92.4151838930998
x93 = 81.9432083811338
x94 = 75.6600230739542
x95 = 84.037603483527
x96 = 15.9697626557481
x97 = 93.4623814442964
x98 = 70.4240353179712
x99 = 68.329640215578
x100 = -93.9859802198946
x100 = -93.9859802198946