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ctgx=1+2cos2x la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
cot(x) = 1 + 2*cos(2*x)
$$\cot{\left(x \right)} = 2 \cos{\left(2 x \right)} + 1$$
Gráfica
Suma y producto de raíces [src]
suma
  3*pi   pi   pi
- ---- + -- + --
   8     8    4 
$$\left(- \frac{3 \pi}{8} + \frac{\pi}{8}\right) + \frac{\pi}{4}$$
=
0
$$0$$
producto
-3*pi pi pi
-----*--*--
  8   8  4 
$$\frac{\pi}{4} \cdot - \frac{3 \pi}{8} \frac{\pi}{8}$$
=
     3
-3*pi 
------
 256  
$$- \frac{3 \pi^{3}}{256}$$
-3*pi^3/256
Respuesta rápida [src]
     -3*pi
x1 = -----
       8  
$$x_{1} = - \frac{3 \pi}{8}$$
     pi
x2 = --
     8 
$$x_{2} = \frac{\pi}{8}$$
     pi
x3 = --
     4 
$$x_{3} = \frac{\pi}{4}$$
x3 = pi/4
Respuesta numérica [src]
x1 = -55.7632696012188
x2 = -73.4347282776614
x3 = 270.96236637212
x4 = 32.2013246992954
x5 = -65.5807466436869
x6 = -29.4524311274043
x7 = 71.0785337874691
x8 = 36.5210145979813
x9 = 41.233403578366
x10 = 17.6714586764426
x11 = 33.3794219443916
x12 = 82.0741080750334
x13 = -93.8550805259951
x14 = -38.8772090881737
x15 = -92.2842841992002
x16 = -82.8595062384308
x17 = 14.5298660228528
x18 = 66.3661448070844
x19 = 8.24668071567321
x20 = 25.9181393921158
x21 = 3.92699081698724
x22 = 52.2289778659303
x23 = 19.2422550032375
x24 = 98.174770424681
x25 = -87.5718952188155
x26 = -43.5895980685584
x27 = 60.0829594999048
x28 = 74.2201264410589
x29 = 39.6626072515711
x30 = -40.0553063332699
x31 = -5.89048622548086
x32 = -51.4435797025329
x33 = -26.3108384738145
x34 = 80.5033117482384
x35 = -57.7267650097125
x36 = 49.0873852123405
x37 = -35.7356164345839
x38 = 11.388273369263
x39 = 55.3705705195201
x40 = -16.8860605130451
x41 = -96.6039740978861
x42 = 22.3838476568273
x43 = 5.10508806208341
x44 = -77.7544181763474
x45 = 99.3528676697772
x46 = 83.6449044018282
x47 = 1.96349540849362
x48 = -98.5674695063798
x49 = -60.8683576633022
x50 = 16.1006623496477
x51 = -76.5763209312512
x52 = 54.1924732744239
x53 = 93.0696823625976
x54 = -54.5851723561227
x55 = -7.46128255227576
x56 = -4.31968989868597
x57 = 69.9004365423729
x58 = 27.096236637212
x59 = 44.3749962319558
x60 = -33.7721210260903
x61 = 61.6537558266997
x62 = -46.3384916404494
x63 = 38.0918109247762
x64 = -48.3019870489431
x65 = -68.329640215578
x66 = 88.3572933822129
x67 = -27.8816348006094
x68 = 23.9546439836222
x69 = -86.0010988920206
x70 = -62.0464549083984
x71 = 10.2101761241668
x72 = -21.5984494934298
x73 = 58.5121631731099
x74 = -42.0188017417635
x75 = 45.9457925587507
x76 = 96.2112750161874
x77 = -10.6028752058656
x78 = -90.3207887907066
x79 = -13.7444678594553
x80 = 63.2245521534946
x81 = -49.872783375738
x82 = -18.0641577581413
x83 = 77.3617190946487
x84 = -24.3473430653209
x85 = -84.037603483527
x86 = -64.009950316892
x87 = -20.0276531666349
x88 = 47.9092879672443
x89 = 91.8915851175014
x90 = -70.2931356240716
x91 = 89.9280897090078
x92 = 67.9369411338793
x93 = 30.2378292908018
x94 = -32.5940237809941
x95 = -71.8639319508665
x96 = -11.7809724509617
x97 = 76.1836218495525
x98 = -79.717913584841
x99 = -99.7455667514759
x99 = -99.7455667514759