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3*tg(x)-3*ctg(x)=8 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
3*tan(x) - 3*cot(x) = 8
$$3 \tan{\left(x \right)} - 3 \cot{\left(x \right)} = 8$$
Gráfica
Suma y producto de raíces [src]
suma
-atan(1/3) + atan(3)
$$- \operatorname{atan}{\left(\frac{1}{3} \right)} + \operatorname{atan}{\left(3 \right)}$$
=
-atan(1/3) + atan(3)
$$- \operatorname{atan}{\left(\frac{1}{3} \right)} + \operatorname{atan}{\left(3 \right)}$$
producto
-atan(1/3)*atan(3)
$$- \operatorname{atan}{\left(\frac{1}{3} \right)} \operatorname{atan}{\left(3 \right)}$$
=
-atan(3)*atan(1/3)
$$- \operatorname{atan}{\left(\frac{1}{3} \right)} \operatorname{atan}{\left(3 \right)}$$
-atan(3)*atan(1/3)
Respuesta rápida [src]
x1 = -atan(1/3)
$$x_{1} = - \operatorname{atan}{\left(\frac{1}{3} \right)}$$
x2 = atan(3)
$$x_{2} = \operatorname{atan}{\left(3 \right)}$$
x2 = atan(3)
Respuesta numérica [src]
x1 = 12.2446200599625
x2 = 54.6561208834247
x3 = -27.0252881099099
x4 = 23.2401943475268
x5 = -99.2819191424751
x6 = -74.1491779137568
x7 = -92.9987338352955
x8 = -20.7421028027303
x9 = -53.7288256654231
x10 = -45.8748440314486
x11 = 4.39063842598805
x12 = -34.8792697438844
x13 = 89.2136400729125
x14 = 97.067621706887
x15 = 62.5101025173992
x16 = 24.8109906743217
x17 = 76.6472694585533
x18 = -97.7111228156802
x19 = 9.10302740637274
x20 = 13.8154163867574
x21 = -39.5916587242691
x22 = -8.17573218837112
x23 = 59.3685098638094
x24 = -1.89254688119154
x25 = -86.715548528116
x26 = 48.3729355762452
x27 = 40.5189539422707
x28 = 16.9570090403472
x29 = 100.209214360477
x30 = -17.6005101491405
x31 = -52.1580293386282
x32 = -69.4367889333721
x33 = 45.2313429226554
x34 = -19.1713064759354
x35 = 60.9393061906043
x36 = 37.3773612886809
x37 = 53.0853245566298
x38 = 92.3552327265023
x39 = -61.5828072993976
x40 = 81.359658438938
x41 = 10.6738237331676
x42 = -75.7199742405517
x43 = -47.4456403582435
x44 = -56.8704183190129
x45 = -64.7243999529874
x46 = 75.0764731317584
x47 = 86.0720474193227
x48 = 56.2269172102196
x49 = -31.7376770902946
x50 = -55.299621992218
x51 = 71.9348804781686
x52 = -5.03413953478133
x53 = -38.0208623974742
x54 = 82.9304547657329
x55 = -41.162455051064
x56 = 78.2180657853482
x57 = 2.81984209919315
x58 = -33.3084734170895
x59 = 27.9525833279115
x60 = 64.0808988441941
x61 = 42.0897502690656
x62 = -77.2907705673466
x63 = -89.8571411817058
x64 = -60.0120109726027
x65 = 70.3640841513737
x66 = 38.9481576154758
x67 = -63.1536036261925
x68 = -78.8615668941415
x69 = 68.7932878245788
x70 = -42.7332513778588
x71 = -67.8659926065772
x72 = 67.2224914977839
x73 = 5.96143475278294
x74 = 18.5278053671421
x75 = -49.0164366850384
x76 = -85.1447522013211
x77 = 20.098601693937
x78 = 98.6384180336818
x79 = -30.1668807634997
x80 = -91.4279375085006
x81 = 49.9437319030401
x82 = -11.3173248419609
x83 = 26.3817870011166
x84 = 90.7844363997074
x85 = -82.0031595477313
x86 = -16.0297138223456
x87 = -71.007585260167
x88 = -83.5739558745262
x89 = -3.46334320798644
x90 = 46.8021392494503
x91 = -9.74652851516602
x92 = -23.8836954563201
x93 = 84.5012510925278
x94 = 31.0941759815013
x95 = -96.1403264888853
x96 = 32.6649723082962
x97 = -25.454491783115
x98 = 34.2357686350911
x99 = 93.9260290532972
x100 = -12.8881211687558
x100 = -12.8881211687558