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tan(3*x-pi/2)=sqrt(3)/3 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
                  ___
   /      pi\   \/ 3 
tan|3*x - --| = -----
   \      2 /     3  
$$\tan{\left(3 x - \frac{\pi}{2} \right)} = \frac{\sqrt{3}}{3}$$
Gráfica
Respuesta rápida [src]
     -pi 
x1 = ----
      9  
$$x_{1} = - \frac{\pi}{9}$$
x1 = -pi/9
Suma y producto de raíces [src]
suma
-pi 
----
 9  
$$- \frac{\pi}{9}$$
=
-pi 
----
 9  
$$- \frac{\pi}{9}$$
producto
-pi 
----
 9  
$$- \frac{\pi}{9}$$
=
-pi 
----
 9  
$$- \frac{\pi}{9}$$
-pi/9
Respuesta numérica [src]
x1 = 38.3972435438752
x2 = 44.6804288510548
x3 = -3.49065850398866
x4 = 82.3795406941324
x5 = -51.6617458590322
x6 = -75.7472895365539
x7 = 69.8131700797732
x8 = -82.0304748437335
x9 = -18.151424220741
x10 = 20.5948851735331
x11 = -60.0393262686049
x12 = -67.3697091269811
x13 = -38.0481776934764
x14 = 58.2939970166106
x15 = -97.7384381116825
x16 = -65.2753140245879
x17 = -69.4641042293743
x18 = 40.4916386462684
x19 = -21.2930168743308
x20 = -57.9449311662117
x21 = -49.567350756639
x22 = 42.5860337486616
x23 = 78.190750489346
x24 = -41.1897703470662
x25 = -27.5762021815104
x26 = -25.4818070791172
x27 = 80.2851455917392
x28 = -5.58505360638185
x29 = 30.0196631343025
x30 = 27.9252680319093
x31 = -43.2841654494594
x32 = -87.2664625997165
x33 = -33.85938748869
x34 = 22.6892802759263
x35 = -11.8682389135614
x36 = -84.1248699461267
x37 = -29.6705972839036
x38 = -95.6440430092893
x39 = 76.0963553869528
x40 = -31.7649923862968
x41 = -91.4552528045029
x42 = 100.181899064475
x43 = -9.77384381116824
x44 = 5.93411945678072
x45 = 47.8220215046446
x46 = 86.5683308989187
x47 = 52.010811709431
x48 = 95.9931088596881
x49 = 54.1052068118242
x50 = 90.7571211037051
x51 = -62.1337213709981
x52 = 3.83972435438753
x53 = 32.1140582366957
x54 = -79.9360797413403
x55 = -19.1986217719376
x56 = -35.9537825910832
x57 = -1.39626340159546
x58 = 46.774823953448
x59 = 60.3883921190038
x60 = 18.5004900711399
x61 = 68.7659725285766
x62 = 66.6715774261834
x63 = -63.1809189221947
x64 = 98.0875039620813
x65 = 8.02851455917392
x66 = -53.7561409614254
x67 = 88.6627260013119
x68 = -23.387411976724
x69 = 71.9075651821664
x70 = 49.9164166070378
x71 = -71.5584993317675
x72 = 36.3028484414821
x73 = -99.8328332140756
x74 = 16.4060949687467
x75 = -93.5496479068961
x76 = 10.1229096615671
x77 = -55.8505360638185
x78 = 74.0019602845596
x79 = -16.0570291183478
x80 = 62.482787221397
x81 = -47.4729556542458
x82 = 93.8987137572949
x83 = -77.8416846389471
x84 = 24.7836753783195
x85 = -45.3785605518526
x86 = -73.6528944341607
x87 = 25.8308729295161
x88 = -7.67944870877505
x89 = 34.2084533390889
x90 = -85.1720674973233
x91 = 14.3116998663535
x92 = 56.1996019142174
x93 = 91.8043186549017
x94 = -89.3608577021097
x95 = 12.2173047639603
x96 = 2.79252680319093
x97 = 64.5771823237902
x98 = -40.1425727958696
x99 = -13.9626340159546
x100 = 84.4739357965256
x100 = 84.4739357965256