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tan(x)/2=cot(x)/2 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
tan(x)   cot(x)
------ = ------
  2        2   
$$\frac{\tan{\left(x \right)}}{2} = \frac{\cot{\left(x \right)}}{2}$$
Gráfica
Respuesta rápida [src]
     -pi 
x1 = ----
      4  
$$x_{1} = - \frac{\pi}{4}$$
     pi
x2 = --
     4 
$$x_{2} = \frac{\pi}{4}$$
x2 = pi/4
Suma y producto de raíces [src]
suma
  pi   pi
- -- + --
  4    4 
$$- \frac{\pi}{4} + \frac{\pi}{4}$$
=
0
$$0$$
producto
-pi  pi
----*--
 4   4 
$$- \frac{\pi}{4} \frac{\pi}{4}$$
=
   2 
-pi  
-----
  16 
$$- \frac{\pi^{2}}{16}$$
-pi^2/16
Respuesta numérica [src]
x1 = 58.9048622548086
x2 = -74.6128255227576
x3 = 55.7632696012188
x4 = -33.7721210260903
x5 = 3.92699081698724
x6 = -96.6039740978861
x7 = -43.1968989868597
x8 = -47.9092879672443
x9 = -16.4933614313464
x10 = 71.4712328691678
x11 = 46.3384916404494
x12 = 16.4933614313464
x13 = -76.1836218495525
x14 = 90.3207887907066
x15 = 60.4756585816035
x16 = -99.7455667514759
x17 = -98.174770424681
x18 = -10.2101761241668
x19 = -7.06858347057703
x20 = -85.6083998103219
x21 = -2.35619449019234
x22 = -55.7632696012188
x23 = 63.6172512351933
x24 = 32.2013246992954
x25 = 18.0641577581413
x26 = -82.4668071567321
x27 = -91.8915851175014
x28 = 77.7544181763474
x29 = -90.3207887907066
x30 = -60.4756585816035
x31 = -13.3517687777566
x32 = 91.8915851175014
x33 = -3.92699081698724
x34 = -71.4712328691678
x35 = 40.0553063332699
x36 = -25.9181393921158
x37 = 49.4800842940392
x38 = 33.7721210260903
x39 = 2.35619449019234
x40 = 47.9092879672443
x41 = 99.7455667514759
x42 = 80.8960108299372
x43 = 96.6039740978861
x44 = -11.7809724509617
x45 = 14.9225651045515
x46 = -62.0464549083984
x47 = -18.0641577581413
x48 = 82.4668071567321
x49 = 54.1924732744239
x50 = 5.49778714378214
x51 = -49.4800842940392
x52 = 84.037603483527
x53 = 88.7499924639117
x54 = -77.7544181763474
x55 = -46.3384916404494
x56 = 24.3473430653209
x57 = -87.1791961371168
x58 = -38.484510006475
x59 = 93.4623814442964
x60 = 22.776546738526
x61 = 19.6349540849362
x62 = 44.7676953136546
x63 = 85.6083998103219
x64 = 62.0464549083984
x65 = -57.3340659280137
x66 = 76.1836218495525
x67 = 69.9004365423729
x68 = 8.63937979737193
x69 = -69.9004365423729
x70 = 68.329640215578
x71 = -63.6172512351933
x72 = 98.174770424681
x73 = 41.6261026600648
x74 = -19.6349540849362
x75 = -24.3473430653209
x76 = -93.4623814442964
x77 = -41.6261026600648
x78 = -27.4889357189107
x79 = -52.621676947629
x80 = -30.6305283725005
x81 = 30.6305283725005
x82 = -84.037603483527
x83 = 10.2101761241668
x84 = 36.9137136796801
x85 = 25.9181393921158
x86 = 74.6128255227576
x87 = -68.329640215578
x88 = -65.1880475619882
x89 = -79.3252145031423
x90 = -40.0553063332699
x91 = 52.621676947629
x92 = 11.7809724509617
x93 = -54.1924732744239
x94 = -32.2013246992954
x95 = 27.4889357189107
x96 = 38.484510006475
x97 = -5.49778714378214
x98 = -35.3429173528852
x99 = -21.2057504117311
x100 = 66.7588438887831
x100 = 66.7588438887831