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(-tan(2*x)+tan(6*x))/(tan(2*x)*tan(6*x)+1)=1/(sqrt(3)) la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
 -tan(2*x) + tan(6*x)     1  
--------------------- = -----
tan(2*x)*tan(6*x) + 1     ___
                        \/ 3 
$$\frac{- \tan{\left(2 x \right)} + \tan{\left(6 x \right)}}{\tan{\left(2 x \right)} \tan{\left(6 x \right)} + 1} = \frac{1}{\sqrt{3}}$$
Gráfica
Respuesta numérica [src]
x1 = 50.3963821513363
x2 = -76.0527221556529
x3 = 42.5424005173618
x4 = -55.6323699073193
x5 = 84.1685031774265
x6 = 51.9671784781312
x7 = -7.72308194007491
x8 = -27.3580360250111
x9 = -83.9067037896274
x10 = 72.3875307264648
x11 = -23.4310452080239
x12 = 22.1220482690281
x13 = 66.1043454192852
x14 = -47.7783882733448
x15 = -89.4044909334095
x16 = 94.3786793015934
x17 = 11.9118721448613
x18 = 46.469391334349
x19 = 82.5977068506317
x20 = 55.8941692951184
x21 = 80.2415123604393
x22 = -14.0062672472545
x23 = 14.2680666350536
x24 = -49.3491846001397
x25 = -87.8336946066146
x26 = 68.4605399094776
x27 = -63.4863515412937
x28 = -51.705379090332
x29 = -54.0615735805244
x30 = 0.130899693899575
x31 = -95.6876762405891
x32 = -59.5593607243065
x33 = 73.9583270532597
x34 = 36.2592152101822
x35 = -45.4221937831524
x36 = -33.6412213321907
x37 = 32.332224393195
x38 = -61.9155552144988
x39 = -43.8513974563575
x40 = 58.2503637853107
x41 = 40.1862060271694
x42 = 7.98488132787406
x43 = -10.0792764302673
x44 = -99.6146670575764
x45 = -29.7142305152035
x46 = -21.860248881229
x47 = 76.3145215434521
x48 = -73.6965276654606
x49 = -79.9797129726402
x50 = 10.3410758180664
x51 = -85.4775001164223
x52 = 38.6154097003745
x53 = -81.550509299435
x54 = -94.1168799137942
x55 = 16.624261125246
x56 = 44.1131968441567
x57 = 24.4782427592205
x58 = -98.0438707307815
x59 = 90.4516884846061
x60 = -65.8425460314861
x61 = 48.0401876611439
x62 = 62.177354602298
x63 = 28.4052335762077
x64 = 70.0313362362725
x65 = -25.7872396982162
x66 = 98.3056701185806
x67 = 20.5512519422332
x68 = 2.48709418409192
x69 = -67.413342358281
x70 = 26.0490390860154
x71 = 86.5246976676189
x72 = -1.43989663289532
x73 = 92.022484811401
x74 = -19.5040543910366
x75 = -35.997415822383
x76 = -91.7606854236019
x77 = -32.0704250053958
x78 = -57.9885643975116
x79 = -39.9244066393703
x80 = 54.3233729683235
x81 = 29.9760299030026
x82 = 95.9494756283883
x83 = -15.5770635740494
x84 = 6.41408500107916
x85 = -69.7695368484733
x86 = -5.36688744988256
x87 = -37.5682121491779
x88 = 64.5335490924903
x89 = 33.9030207199899
x90 = 77.885317870247
x91 = -17.9332580642417
x92 = 18.1950574520409
x93 = -41.4952029661652
x94 = 4.05789051088682
x95 = 88.0954939944138
x96 = -72.1257313386657
x97 = -77.6235184824478
x98 = -3.79609112308767
x99 = -11.6500727570621
x100 = 60.6065582755031
x101 = 99.8764664453755
x101 = 99.8764664453755