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7.1ctgx=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
71*cot(x)    
--------- = 0
    10       
$$\frac{71 \cot{\left(x \right)}}{10} = 0$$
Solución detallada
Tenemos la ecuación
$$\frac{71 \cot{\left(x \right)}}{10} = 0$$
cambiamos
$$\frac{71 \cot{\left(x \right)}}{10} - 1 = 0$$
$$\frac{71 \cot{\left(x \right)}}{10} - 1 = 0$$
Sustituimos
$$w = \cot{\left(x \right)}$$
Transportamos los términos libres (sin w)
del miembro izquierdo al derecho, obtenemos:
$$\frac{71 w}{10} = 1$$
Dividamos ambos miembros de la ecuación en 71/10
w = 1 / (71/10)

Obtenemos la respuesta: w = 10/71
hacemos cambio inverso
$$\cot{\left(x \right)} = w$$
sustituimos w:
Gráfica
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 = 4.71238898038469
x2 = 17.2787595947439
x3 = -89.5353906273091
x4 = 64.4026493985908
x5 = 70.6858347057703
x6 = 36.1283155162826
x7 = -98.9601685880785
x8 = 48.6946861306418
x9 = -58.1194640914112
x10 = 7.85398163397448
x11 = 39.2699081698724
x12 = -95.8185759344887
x13 = -1.5707963267949
x14 = -92.6769832808989
x15 = -23.5619449019235
x16 = 23.5619449019235
x17 = 61.261056745001
x18 = 29.845130209103
x19 = -32.9867228626928
x20 = -51.8362787842316
x21 = -80.1106126665397
x22 = -83.2522053201295
x23 = 67.5442420521806
x24 = 98.9601685880785
x25 = 92.6769832808989
x26 = -39.2699081698724
x27 = 86.3937979737193
x28 = 45.553093477052
x29 = -67.5442420521806
x30 = 51.8362787842316
x31 = 76.9690200129499
x32 = -26.7035375555132
x33 = -4.71238898038469
x34 = 95.8185759344887
x35 = -86.3937979737193
x36 = -10.9955742875643
x37 = 83.2522053201295
x38 = -7.85398163397448
x39 = -36.1283155162826
x40 = -17.2787595947439
x41 = -14.1371669411541
x42 = 20.4203522483337
x43 = 54.9778714378214
x44 = -70.6858347057703
x45 = -48.6946861306418
x46 = -54.9778714378214
x47 = -45.553093477052
x48 = 14.1371669411541
x49 = -73.8274273593601
x50 = 26.7035375555132
x51 = 89.5353906273091
x52 = 10.9955742875643
x53 = 80.1106126665397
x54 = 73.8274273593601
x55 = 58.1194640914112
x56 = -61.261056745001
x57 = 1.5707963267949
x58 = -20.4203522483337
x59 = -42.4115008234622
x60 = 32.9867228626928
x61 = 42.4115008234622
x62 = -76.9690200129499
x63 = -64.4026493985908
x64 = -29.845130209103
x64 = -29.845130209103