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ctgx=-1

ctgx=-1 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
cot(x) = -1
$$\cot{\left(x \right)} = -1$$
Solución detallada
Tenemos la ecuación
$$\cot{\left(x \right)} = -1$$
cambiamos
$$\cot{\left(x \right)} + 1 = 0$$
$$\cot{\left(x \right)} + 1 = 0$$
Sustituimos
$$w = \cot{\left(x \right)}$$
Transportamos los términos libres (sin w)
del miembro izquierdo al derecho, obtenemos:
$$w = -1$$
Obtenemos la respuesta: w = -1
hacemos cambio inverso
$$\cot{\left(x \right)} = w$$
sustituimos w:
Gráfica
Suma y producto de raíces [src]
suma
-pi 
----
 4  
$$- \frac{\pi}{4}$$
=
-pi 
----
 4  
$$- \frac{\pi}{4}$$
producto
-pi 
----
 4  
$$- \frac{\pi}{4}$$
=
-pi 
----
 4  
$$- \frac{\pi}{4}$$
-pi/4
Respuesta rápida [src]
     -pi 
x1 = ----
      4  
$$x_{1} = - \frac{\pi}{4}$$
x1 = -pi/4
Respuesta numérica [src]
x1 = 21.2057504117311
x2 = 40.0553063332699
x3 = 49.4800842940392
x4 = -0.785398163397448
x5 = 2.35619449019234
x6 = 74.6128255227576
x7 = 65.1880475619882
x8 = -3.92699081698724
x9 = -16.4933614313464
x10 = 43.1968989868597
x11 = -82.4668071567321
x12 = 71.4712328691678
x13 = -88.7499924639117
x14 = -73.0420291959627
x15 = 8.63937979737193
x16 = -13.3517687777566
x17 = -32.2013246992954
x18 = -44.7676953136546
x19 = -85.6083998103219
x20 = 33.7721210260903
x21 = -98.174770424681
x22 = 99.7455667514759
x23 = -54.1924732744239
x24 = 87.1791961371168
x25 = 77.7544181763474
x26 = -57.3340659280137
x27 = -79.3252145031423
x28 = -76.1836218495525
x29 = -22.776546738526
x30 = 80.8960108299372
x31 = 93.4623814442964
x32 = 11.7809724509617
x33 = 30.6305283725005
x34 = -47.9092879672443
x35 = -29.0597320457056
x36 = -38.484510006475
x37 = 14.9225651045515
x38 = -41.6261026600648
x39 = -60.4756585816035
x40 = 96.6039740978861
x41 = 84.037603483527
x42 = -91.8915851175014
x43 = -69.9004365423729
x44 = -63.6172512351933
x45 = 68.329640215578
x46 = -66.7588438887831
x47 = 52.621676947629
x48 = -25.9181393921158
x49 = -35.3429173528852
x50 = 46.3384916404494
x51 = 5.49778714378214
x52 = 18.0641577581413
x53 = -19.6349540849362
x54 = 90.3207887907066
x55 = -10.2101761241668
x56 = -7.06858347057703
x57 = -51.0508806208341
x58 = 24.3473430653209
x59 = 55.7632696012188
x60 = 62.0464549083984
x61 = -95.0331777710912
x62 = 27.4889357189107
x63 = 36.9137136796801
x64 = 58.9048622548086
x64 = 58.9048622548086
Gráfico
ctgx=-1 la ecuación