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tgx=1/7 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
tan(x) = 1/7
$$\tan{\left(x \right)} = \frac{1}{7}$$
Solución detallada
Tenemos la ecuación
$$\tan{\left(x \right)} = \frac{1}{7}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = \pi n + \operatorname{atan}{\left(\frac{1}{7} \right)}$$
O
$$x = \pi n + \operatorname{atan}{\left(\frac{1}{7} \right)}$$
, donde n es cualquier número entero
Gráfica
Respuesta rápida [src]
x1 = atan(1/7)
$$x_{1} = \operatorname{atan}{\left(\frac{1}{7} \right)}$$
x1 = atan(1/7)
Suma y producto de raíces [src]
suma
atan(1/7)
$$\operatorname{atan}{\left(\frac{1}{7} \right)}$$
=
atan(1/7)
$$\operatorname{atan}{\left(\frac{1}{7} \right)}$$
producto
atan(1/7)
$$\operatorname{atan}{\left(\frac{1}{7} \right)}$$
=
atan(1/7)
$$\operatorname{atan}{\left(\frac{1}{7} \right)}$$
atan(1/7)
Respuesta numérica [src]
x1 = -12.424473559755
x2 = 18.9914529761429
x3 = 75.5401207407592
x4 = 28.4162309369123
x5 = 37.8410088976817
x6 = 15.8498603225531
x7 = -72.1147339779611
x8 = 59.8321574728102
x9 = -46.9819927492427
x10 = 72.3985280871694
x11 = 62.9737501264
x12 = 9.56667501537354
x13 = -53.2651780564223
x14 = -59.5483633636019
x15 = -31.2740294812938
x16 = 44.1241942048613
x17 = -75.2563266315509
x18 = 12.7082676689633
x19 = -2.99969559898563
x20 = -28.132436827704
x21 = -18.7076588669346
x22 = -15.5660662133448
x23 = 6.42508236178375
x24 = -24.9908441741142
x25 = -87.82269724591
x26 = 84.9648987015286
x27 = -62.6899560171917
x28 = -94.1058825530896
x29 = 78.681713394349
x30 = 66.1153427799898
x31 = -81.5395119387305
x32 = -9.28288090616522
x33 = 94.389676662298
x34 = 69.2569354335796
x35 = -90.9642898994998
x36 = -34.4156221348836
x37 = 56.6905648192204
x38 = -97.2474752066794
x39 = 22.1330456297327
x40 = -65.8315486707815
x41 = 81.8233060479388
x42 = -84.6811045923203
x43 = 91.2480840087082
x44 = -6.14128825257542
x45 = 40.9826015512715
x46 = 34.6994162440919
x47 = 3.28348970819396
x48 = -56.4067707100121
x49 = -21.8492515205244
x50 = -37.5572147884734
x51 = 100.672861969478
x52 = 0.141897054604164
x53 = -78.3979192851407
x54 = -43.8404000956529
x55 = 50.4073795120409
x56 = -68.9731413243713
x57 = -40.6988074420631
x58 = 25.2746382833225
x59 = -100.389067860269
x60 = -50.1235854028325
x61 = 88.1064913551184
x62 = 31.5578235905021
x63 = 53.5489721656307
x64 = 47.2657868584511
x65 = 97.5312693158878
x65 = 97.5312693158878