Sr Examen

ctg(a) la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
cot(a) = 0
$$\cot{\left(a \right)} = 0$$
Solución detallada
Tenemos la ecuación
$$\cot{\left(a \right)} = 0$$
cambiamos
$$\cot{\left(a \right)} - 1 = 0$$
$$\cot{\left(a \right)} - 1 = 0$$
Sustituimos
$$w = \cot{\left(a \right)}$$
Transportamos los términos libres (sin w)
del miembro izquierdo al derecho, obtenemos:
$$w = 1$$
Obtenemos la respuesta: w = 1
hacemos cambio inverso
$$\cot{\left(a \right)} = w$$
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
a1 = --
     2 
$$a_{1} = \frac{\pi}{2}$$
a1 = pi/2
Respuesta numérica [src]
a1 = 42.4115008234622
a2 = 54.9778714378214
a3 = -86.3937979737193
a4 = -98.9601685880785
a5 = 29.845130209103
a6 = -42.4115008234622
a7 = 89.5353906273091
a8 = -95.8185759344887
a9 = -64.4026493985908
a10 = 14.1371669411541
a11 = -17.2787595947439
a12 = 48.6946861306418
a13 = -48.6946861306418
a14 = -67.5442420521806
a15 = -32.9867228626928
a16 = -80.1106126665397
a17 = 83.2522053201295
a18 = 1.5707963267949
a19 = 10.9955742875643
a20 = -7.85398163397448
a21 = -76.9690200129499
a22 = 98.9601685880785
a23 = -4.71238898038469
a24 = 36.1283155162826
a25 = 20.4203522483337
a26 = 23.5619449019235
a27 = 51.8362787842316
a28 = -45.553093477052
a29 = 45.553093477052
a30 = -1.5707963267949
a31 = -10.9955742875643
a32 = 26.7035375555132
a33 = 67.5442420521806
a34 = 92.6769832808989
a35 = -58.1194640914112
a36 = 73.8274273593601
a37 = -39.2699081698724
a38 = 95.8185759344887
a39 = -23.5619449019235
a40 = -70.6858347057703
a41 = 80.1106126665397
a42 = 58.1194640914112
a43 = -14.1371669411541
a44 = 32.9867228626928
a45 = -83.2522053201295
a46 = 7.85398163397448
a47 = -89.5353906273091
a48 = -29.845130209103
a49 = 76.9690200129499
a50 = 86.3937979737193
a51 = 70.6858347057703
a52 = -26.7035375555132
a53 = -36.1283155162826
a54 = -92.6769832808989
a55 = -51.8362787842316
a56 = -73.8274273593601
a57 = 17.2787595947439
a58 = 64.4026493985908
a59 = -20.4203522483337
a60 = 4.71238898038469
a61 = -54.9778714378214
a62 = 39.2699081698724
a63 = -61.261056745001
a64 = 61.261056745001
a64 = 61.261056745001