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ctg(6π+x)=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src] 
cot(6*pi + x) = 0
$$\cot{\left(x + 6 \pi \right)} = 0$$
Simplificar
Solución detallada
Tenemos la ecuación
$$\cot{\left(x + 6 \pi \right)} = 0$$
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
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Suma y producto de raíces [src] 
suma
pi
--
2
$$\frac{\pi}{2}$$ 
=
pi
--
2
$$\frac{\pi}{2}$$ 
producto
pi
--
2
$$\frac{\pi}{2}$$ 
=
pi
--
2
$$\frac{\pi}{2}$$ 
pi/2
Respuesta rápida [src] 
     pi
x1 = --
     2
$$x_{1} = \frac{\pi}{2}$$ 
x1 = pi/2
Respuesta numérica [src] 
x1 = 7.85398163397448
x2 = -86.3937979737193
x3 = 58.1194640914112
x4 = 23.5619449019235
x5 = -67.5442420521806
x6 = -4.71238898038469
x7 = -20.4203522483337
x8 = 83.2522053201295
x9 = -29.845130209103
x10 = -39.2699081698724
x11 = -98.9601685880785
x12 = 98.9601685880785
x13 = 86.3937979737193
x14 = 26.7035375555132
x15 = -48.6946861306418
x16 = -89.5353906273091
x17 = -17.2787595947439
x18 = 20.4203522483337
x19 = 48.6946861306418
x20 = -64.4026493985908
x21 = 67.5442420521806
x22 = 14.1371669411541
x23 = -26.7035375555132
x24 = 42.4115008234622
x25 = -70.6858347057703
x26 = -32.9867228626928
x27 = 39.2699081698724
x28 = 4.71238898038469
x29 = 73.8274273593601
x30 = 89.5353906273091
x31 = 45.553093477052
x32 = 70.6858347057703
x33 = -95.8185759344887
x34 = -7.85398163397448
x35 = 76.9690200129499
x36 = 32.9867228626928
x37 = -23.5619449019235
x38 = 64.4026493985908
x39 = -36.1283155162826
x40 = -83.2522053201295
x41 = -1.5707963267949
x42 = -58.1194640914112
x43 = -10.9955742875643
x44 = 1.5707963267949
x45 = 29.845130209103
x46 = -73.8274273593601
x47 = -92.6769832808989
x48 = -54.9778714378214
x49 = 80.1106126665397
x50 = 54.9778714378214
x51 = -76.9690200129499
x52 = 36.1283155162826
x53 = 61.261056745001
x54 = 92.6769832808989
x55 = -61.261056745001
x56 = 17.2787595947439
x57 = 10.9955742875643
x58 = -51.8362787842316
x59 = -45.553093477052
x60 = -42.4115008234622
x61 = -80.1106126665397
x62 = 51.8362787842316
x63 = 95.8185759344887
x64 = -14.1371669411541
x64 = -14.1371669411541
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