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tgx-3ctgx=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
tan(x) - 3*cot(x) = 0
$$\tan{\left(x \right)} - 3 \cot{\left(x \right)} = 0$$
Gráfica
Respuesta rápida [src]
     -pi 
x1 = ----
      3  
$$x_{1} = - \frac{\pi}{3}$$
     pi
x2 = --
     3 
$$x_{2} = \frac{\pi}{3}$$
x2 = pi/3
Suma y producto de raíces [src]
suma
  pi   pi
- -- + --
  3    3 
$$- \frac{\pi}{3} + \frac{\pi}{3}$$
=
0
$$0$$
producto
-pi  pi
----*--
 3   3 
$$- \frac{\pi}{3} \frac{\pi}{3}$$
=
   2 
-pi  
-----
  9  
$$- \frac{\pi^{2}}{9}$$
-pi^2/9
Respuesta numérica [src]
x1 = 98.4365698124802
x2 = -13.6135681655558
x3 = 45.0294947014537
x4 = -71.2094334813686
x5 = 96.342174710087
x6 = -92.1533845053006
x7 = -83.7758040957278
x8 = -93.2005820564972
x9 = 71.2094334813686
x10 = -48.1710873550435
x11 = -57.5958653158129
x12 = 76.4454212373516
x13 = 16.7551608191456
x14 = 99.4837673636768
x15 = 63.8790506229925
x16 = -24.0855436775217
x17 = 8.37758040957278
x18 = -2.0943951023932
x19 = -32.4631240870945
x20 = 27.2271363311115
x21 = 41.8879020478639
x22 = 80.634211442138
x23 = 70.162235930172
x24 = -19.8967534727354
x25 = -39.7935069454707
x26 = -86.9173967493176
x27 = -38.7463093942741
x28 = -42.9350995990605
x29 = -96.342174710087
x30 = -41.8879020478639
x31 = -35.6047167406843
x32 = -10.471975511966
x33 = 26.1799387799149
x34 = -60.7374579694027
x35 = 39.7935069454707
x36 = 48.1710873550435
x37 = -77.4926187885482
x38 = -68.0678408277789
x39 = -27.2271363311115
x40 = 58.6430628670095
x41 = -49.2182849062401
x42 = -54.4542726622231
x43 = 52.3598775598299
x44 = -74.3510261349584
x45 = 85.870199198121
x46 = -33.5103216382911
x47 = 17.8023583703422
x48 = 33.5103216382911
x49 = 92.1533845053006
x50 = 67.0206432765823
x51 = -63.8790506229925
x52 = -76.4454212373516
x53 = 24.0855436775217
x54 = -5.23598775598299
x55 = 2.0943951023932
x56 = -7.33038285837618
x57 = 32.4631240870945
x58 = 14.6607657167524
x59 = 83.7758040957278
x60 = 10.471975511966
x61 = -52.3598775598299
x62 = 19.8967534727354
x63 = -90.0589894029074
x64 = -64.9262481741891
x65 = 49.2182849062401
x66 = 77.4926187885482
x67 = 74.3510261349584
x68 = 54.4542726622231
x69 = -26.1799387799149
x70 = 93.2005820564972
x71 = -61.7846555205993
x72 = 46.0766922526503
x73 = 4.18879020478639
x74 = 38.7463093942741
x75 = -82.7286065445312
x76 = -46.0766922526503
x77 = -17.8023583703422
x78 = 36.6519142918809
x79 = -99.4837673636768
x80 = 30.3687289847013
x81 = 68.0678408277789
x82 = 61.7846555205993
x83 = 89.0117918517108
x84 = 82.7286065445312
x85 = -79.5870138909414
x86 = -55.5014702134197
x87 = -20.943951023932
x88 = -85.870199198121
x89 = 60.7374579694027
x90 = -11.5191730631626
x91 = 55.5014702134197
x92 = -30.3687289847013
x93 = 90.0589894029074
x94 = -98.4365698124802
x95 = 11.5191730631626
x96 = 23.0383461263252
x97 = -4.18879020478639
x98 = -16.7551608191456
x99 = 5.23598775598299
x100 = -70.162235930172
x100 = -70.162235930172