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ctg(x)=-0,7 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
cot(x) = -7/10
$$\cot{\left(x \right)} = - \frac{7}{10}$$
Solución detallada
Tenemos la ecuación
$$\cot{\left(x \right)} = - \frac{7}{10}$$
cambiamos
$$\cot{\left(x \right)} + \frac{7}{10} = 0$$
$$\cot{\left(x \right)} + \frac{7}{10} = 0$$
Sustituimos
$$w = \cot{\left(x \right)}$$
Transportamos los términos libres (sin w)
del miembro izquierdo al derecho, obtenemos:
$$w = - \frac{7}{10}$$
Obtenemos la respuesta: w = -7/10
hacemos cambio inverso
$$\cot{\left(x \right)} = w$$
sustituimos w:
Gráfica
Respuesta rápida [src]
x1 = -acot(7/10)
$$x_{1} = - \operatorname{acot}{\left(\frac{7}{10} \right)}$$
x1 = -acot(7/10)
Suma y producto de raíces [src]
suma
-acot(7/10)
$$- \operatorname{acot}{\left(\frac{7}{10} \right)}$$
=
-acot(7/10)
$$- \operatorname{acot}{\left(\frac{7}{10} \right)}$$
producto
-acot(7/10)
$$- \operatorname{acot}{\left(\frac{7}{10} \right)}$$
=
-acot(7/10)
$$- \operatorname{acot}{\left(\frac{7}{10} \right)}$$
-acot(7/10)
Respuesta numérica [src]
x1 = 17.8894855591331
x2 = 5.3231149447739
x3 = -82.6414793557403
x4 = -29.2344042447138
x5 = -54.3671454734322
x6 = 21.0310782127229
x7 = 65.01337536298
x8 = -98.3494426236893
x9 = 74.4381533237493
x10 = 2.18152229118411
x11 = -38.6591822054832
x12 = -32.3759968983036
x13 = 99.5708945524677
x14 = -95.2078499700995
x15 = 39.8806341342616
x16 = -51.2255528198424
x17 = 8.46470759836369
x18 = -19.8096262839444
x19 = 11.6063002519535
x20 = 24.1726708663127
x21 = -73.2167013949709
x22 = 61.8717827093902
x23 = -10.3848483231751
x24 = -13.5264409767649
x25 = -16.6680336303547
x26 = -35.5175895518934
x27 = -60.6503307806118
x28 = -57.508738127022
x29 = 87.0045239381085
x30 = -48.0839601662526
x31 = 30.4558561734922
x32 = -0.960070362405688
x33 = -41.800774859073
x34 = -85.7830720093301
x35 = 46.1638194414412
x36 = 96.4293018988779
x37 = 14.7478929055433
x38 = -79.4998867021505
x39 = -88.9246646629199
x40 = 52.4470047486208
x41 = -7.24325566958527
x42 = -44.9423675126628
x43 = 27.3142635199025
x44 = -63.7919234342015
x45 = 80.7213386309289
x46 = -26.092811591124
x47 = 68.1549680165698
x48 = 55.5885974022106
x49 = 93.2877092452881
x50 = -4.10166301599548
x51 = 43.0222267878514
x52 = 33.597448827082
x53 = -66.9335160877913
x54 = 71.2965606701596
x55 = -70.0751087413811
x56 = -76.3582940485607
x57 = 77.5797459773391
x58 = -22.9512189375342
x59 = -92.0662573165097
x60 = 58.7301900558004
x61 = 83.8629312845187
x62 = 49.305412095031
x63 = 36.7390414806718
x64 = 90.1461165916983
x64 = 90.1461165916983