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(ctg2x-1)(2sinx+1)=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
(cot(2*x) - 1)*(2*sin(x) + 1) = 0
$$\left(2 \sin{\left(x \right)} + 1\right) \left(\cot{\left(2 x \right)} - 1\right) = 0$$
Gráfica
Respuesta rápida [src]
     -5*pi
x1 = -----
       6  
$$x_{1} = - \frac{5 \pi}{6}$$
     -pi 
x2 = ----
      6  
$$x_{2} = - \frac{\pi}{6}$$
     pi
x3 = --
     8 
$$x_{3} = \frac{\pi}{8}$$
x3 = pi/8
Suma y producto de raíces [src]
suma
  5*pi   pi   pi
- ---- - -- + --
   6     6    8 
$$\left(- \frac{5 \pi}{6} - \frac{\pi}{6}\right) + \frac{\pi}{8}$$
=
-7*pi
-----
  8  
$$- \frac{7 \pi}{8}$$
producto
-5*pi -pi  pi
-----*----*--
  6    6   8 
$$\frac{\pi}{8} \cdot - \frac{5 \pi}{6} \left(- \frac{\pi}{6}\right)$$
=
    3
5*pi 
-----
 288 
$$\frac{5 \pi^{3}}{288}$$
5*pi^3/288
Respuesta numérica [src]
x1 = -38.2227106186758
x2 = 74.8746249105567
x3 = -64.009950316892
x4 = -69.6386371545737
x5 = 25.5254403104171
x6 = -62.4391539900971
x7 = -42.0188017417635
x8 = 14.5298660228528
x9 = 1.96349540849362
x10 = -100.138265833175
x11 = 38.0918109247762
x12 = 19.2422550032375
x13 = -12.1736715326604
x14 = 69.5077374606742
x15 = -7.46128255227576
x16 = 8.24668071567321
x17 = -79.717913584841
x18 = 44.3749962319558
x19 = -35.7356164345839
x20 = -43.5895980685584
x21 = 85.3466004225227
x22 = 49.7418836818384
x23 = -10.6028752058656
x24 = 93.7241808320955
x25 = -25.6563400043166
x26 = -24.7400421470196
x27 = -96.8657734856853
x28 = -34.0339204138894
x29 = -40.317105721069
x30 = -29.4524311274043
x31 = 91.6297857297023
x32 = 41.3643032722656
x33 = 88.3572933822129
x34 = -16.8860605130451
x35 = 66.3661448070844
x36 = -46.6002910282486
x37 = -78.0162175641465
x38 = -57.7267650097125
x39 = 58.5121631731099
x40 = -71.733032256967
x41 = 53.9306738866248
x42 = 3.66519142918809
x43 = 82.0741080750334
x44 = -87.5718952188155
x45 = -92.2842841992002
x46 = 96.2112750161874
x47 = -18.45685683984
x48 = 60.2138591938044
x49 = 47.6474885794452
x50 = 41.233403578366
x51 = 31.8086256175967
x52 = 67.9369411338793
x53 = -20.0276531666349
x54 = -90.5825881785057
x55 = -49.872783375738
x56 = -84.2994028713261
x57 = -82.2050077689329
x58 = 23.9546439836222
x59 = -5.89048622548086
x60 = 5.75958653158129
x61 = 74.2201264410589
x62 = 71.0785337874691
x63 = -31.9395253114962
x64 = 34.9502182711865
x65 = -59.2975613365073
x66 = 45.9457925587507
x67 = 75.7909227678538
x68 = 12.0427718387609
x69 = 89.9280897090078
x70 = -2.61799387799149
x71 = 30.2378292908018
x72 = -75.9218224617533
x73 = -68.7223392972767
x74 = 77.3617190946487
x75 = -75.0055246044563
x76 = 22.3838476568273
x77 = -96.9966731795849
x78 = -65.5807466436869
x79 = -21.5984494934298
x80 = 52.2289778659303
x81 = 63.2245521534946
x82 = 9.94837673636768
x83 = -51.4435797025329
x84 = 27.096236637212
x85 = 56.025068989018
x86 = 100.007366139275
x87 = 97.9129710368819
x88 = -54.5851723561227
x89 = -48.3019870489431
x90 = -27.7507351067098
x91 = 62.3082542961976
x92 = 36.5210145979813
x93 = -86.0010988920206
x94 = 80.5033117482384
x95 = 16.2315620435473
x96 = -93.8550805259951
x97 = -13.7444678594553
x98 = 18.3259571459405
x99 = -56.1559686829176
x99 = -56.1559686829176