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tan(x)=-1/3

tan(x)=-1/3 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
tan(x) = -1/3
$$\tan{\left(x \right)} = - \frac{1}{3}$$
Solución detallada
Tenemos la ecuación
$$\tan{\left(x \right)} = - \frac{1}{3}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = \pi n + \operatorname{atan}{\left(- \frac{1}{3} \right)}$$
O
$$x = \pi n - \operatorname{atan}{\left(\frac{1}{3} \right)}$$
, donde n es cualquier número entero
Gráfica
Respuesta rápida [src]
x1 = -atan(1/3)
$$x_{1} = - \operatorname{atan}{\left(\frac{1}{3} \right)}$$
x1 = -atan(1/3)
Suma y producto de raíces [src]
suma
-atan(1/3)
$$- \operatorname{atan}{\left(\frac{1}{3} \right)}$$
=
-atan(1/3)
$$- \operatorname{atan}{\left(\frac{1}{3} \right)}$$
producto
-atan(1/3)
$$- \operatorname{atan}{\left(\frac{1}{3} \right)}$$
=
-atan(1/3)
$$- \operatorname{atan}{\left(\frac{1}{3} \right)}$$
-atan(1/3)
Respuesta numérica [src]
x1 = 93.9260290532972
x2 = -16.0297138223456
x3 = -78.8615668941415
x4 = -25.454491783115
x5 = -94.5695301620904
x6 = -28.5960844367048
x7 = 9.10302740637274
x8 = -12.8881211687558
x9 = 97.067621706887
x10 = 15.3862127135523
x11 = 62.5101025173992
x12 = 27.9525833279115
x13 = 40.5189539422707
x14 = -50.5872330118333
x15 = 43.6605465958605
x16 = -38.0208623974742
x17 = -53.7288256654231
x18 = 59.3685098638094
x19 = 90.7844363997074
x20 = 100.209214360477
x21 = 31.0941759815013
x22 = 21.6693980207319
x23 = 2.81984209919315
x24 = 65.651695170989
x25 = 49.9437319030401
x26 = -3.46334320798644
x27 = -34.8792697438844
x28 = 81.359658438938
x29 = 71.9348804781686
x30 = 87.6428437461176
x31 = -9.74652851516602
x32 = -41.162455051064
x33 = 18.5278053671421
x34 = -69.4367889333721
x35 = -82.0031595477313
x36 = 5.96143475278294
x37 = 53.0853245566298
x38 = 75.0764731317584
x39 = 46.8021392494503
x40 = 56.2269172102196
x41 = 78.2180657853482
x42 = -44.3040477046537
x43 = -56.8704183190129
x44 = -19.1713064759354
x45 = 84.5012510925278
x46 = -6.60493586157623
x47 = -22.3128991295252
x48 = -47.4456403582435
x49 = -63.1536036261925
x50 = -31.7376770902946
x51 = 37.3773612886809
x52 = -60.0120109726027
x53 = -100.85271546927
x54 = 12.2446200599625
x55 = -66.2951962797823
x56 = -97.7111228156802
x57 = -85.1447522013211
x58 = 24.8109906743217
x59 = -91.4279375085006
x60 = -75.7199742405517
x61 = 68.7932878245788
x62 = -72.5783815869619
x63 = -0.321750554396642
x64 = 34.2357686350911
x65 = -88.2863448549109
x65 = -88.2863448549109
Gráfico
tan(x)=-1/3 la ecuación