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ctg11x=-1 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
cot(11*x) = -1
$$\cot{\left(11 x \right)} = -1$$
Solución detallada
Tenemos la ecuación
$$\cot{\left(11 x \right)} = -1$$
cambiamos
$$\cot{\left(11 x \right)} + 1 = 0$$
$$\cot{\left(11 x \right)} + 1 = 0$$
Sustituimos
$$w = \cot{\left(11 x \right)}$$
Transportamos los términos libres (sin w)
del miembro izquierdo al derecho, obtenemos:
$$w = -1$$
Obtenemos la respuesta: w = -1
hacemos cambio inverso
$$\cot{\left(11 x \right)} = w$$
sustituimos w:
Gráfica
Suma y producto de raíces [src]
suma
-pi 
----
 44 
$$- \frac{\pi}{44}$$
=
-pi 
----
 44 
$$- \frac{\pi}{44}$$
producto
-pi 
----
 44 
$$- \frac{\pi}{44}$$
=
-pi 
----
 44 
$$- \frac{\pi}{44}$$
-pi/44
Respuesta rápida [src]
     -pi 
x1 = ----
      44 
$$x_{1} = - \frac{\pi}{44}$$
x1 = -pi/44
Respuesta numérica [src]
x1 = -69.7576368763006
x2 = 40.1981059993421
x3 = -55.7632696012188
x4 = -83.7520041513824
x5 = -9.78177712595004
x6 = -39.7697070011253
x7 = -43.7680976511487
x8 = 26.2037387242603
x9 = 36.1997153493188
x10 = 46.1956919743772
x11 = 62.1892545744707
x12 = 44.1964966493655
x13 = -49.7656836261838
x14 = 30.2021293742837
x15 = -91.7487854514292
x16 = 78.1828171745642
x17 = 72.1852311995291
x18 = -3.78419115091498
x19 = 34.2005200243071
x20 = -81.7528088263708
x21 = -25.7753397260435
x22 = -5.78338647592666
x23 = -17.7785584259968
x24 = 99.0315684211146
x25 = -1.78499582590329
x26 = 24.2045433992486
x27 = 76.1836218495525
x28 = 64.1884498994824
x29 = -13.7801677759734
x30 = -57.7624649262305
x31 = -95.7471761014526
x32 = -87.7503948014058
x33 = 2.21339482412008
x34 = -99.7455667514759
x35 = -37.7705116761136
x36 = -79.7536135013591
x37 = 18.2069574242136
x38 = 28.202934049272
x39 = -7.78258180093835
x40 = -59.7616602512422
x41 = -11.7809724509617
x42 = 50.1940826244006
x43 = -75.7552228513357
x44 = -97.7463714264643
x45 = -41.768902326137
x46 = 70.1860358745174
x47 = -67.758441551289
x48 = -53.7640742762071
x49 = -63.7600509012656
x50 = 80.1820124995759
x51 = 90.1779891246343
x52 = 38.1989106743304
x53 = 6.21178547414346
x54 = 95.8899757675248
x55 = 14.2085667741902
x56 = 16.2077620992019
x57 = 54.1924732744239
x58 = -89.7495901264175
x59 = 56.1916685994356
x60 = -15.7793631009851
x61 = 60.190059249459
x62 = 48.1948872993889
x63 = 58.1908639244473
x64 = 84.1804031495992
x65 = -47.7664883011721
x66 = -45.7672929761604
x67 = 42.1973013243538
x68 = -85.7511994763941
x69 = 82.1812078245875
x70 = 92.177184449646
x71 = 93.8907804425131
x72 = 22.2053480742369
x73 = -23.7761444010318
x74 = -31.7729257010786
x75 = -19.7777537510085
x76 = -21.7769490760202
x77 = -73.756027526324
x78 = 32.2013246992954
x79 = 8.21098079915514
x80 = 74.1844265245408
x81 = -77.7544181763474
x82 = -61.7608555762539
x83 = -29.7737303760669
x84 = -65.7592462262773
x85 = 52.1932779494122
x86 = 20.2061527492253
x87 = -71.7568322013123
x88 = 88.1787937996226
x89 = 100.173965749693
x90 = 4.21259014913177
x91 = 68.1868405495057
x92 = -35.771316351102
x93 = -51.7648789511955
x94 = 66.187645224494
x95 = -33.7721210260903
x96 = 10.2101761241668
x97 = -27.7745350510552
x98 = -93.7479807764409
x99 = 12.2093714491785
x100 = 86.1795984746109
x100 = 86.1795984746109