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tan(x)=2*sqrt(3)/3 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
             ___
         2*\/ 3 
tan(x) = -------
            3   
$$\tan{\left(x \right)} = \frac{2 \sqrt{3}}{3}$$
Solución detallada
Tenemos la ecuación
$$\tan{\left(x \right)} = \frac{2 \sqrt{3}}{3}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = \pi n + \operatorname{atan}{\left(\frac{2 \sqrt{3}}{3} \right)}$$
O
$$x = \pi n + \operatorname{atan}{\left(\frac{2 \sqrt{3}}{3} \right)}$$
, donde n es cualquier número entero
Gráfica
Respuesta rápida [src]
         /    ___\
         |2*\/ 3 |
x1 = atan|-------|
         \   3   /
$$x_{1} = \operatorname{atan}{\left(\frac{2 \sqrt{3}}{3} \right)}$$
x1 = atan(2*sqrt(3)/3)
Suma y producto de raíces [src]
suma
    /    ___\
    |2*\/ 3 |
atan|-------|
    \   3   /
$$\operatorname{atan}{\left(\frac{2 \sqrt{3}}{3} \right)}$$
=
    /    ___\
    |2*\/ 3 |
atan|-------|
    \   3   /
$$\operatorname{atan}{\left(\frac{2 \sqrt{3}}{3} \right)}$$
producto
    /    ___\
    |2*\/ 3 |
atan|-------|
    \   3   /
$$\operatorname{atan}{\left(\frac{2 \sqrt{3}}{3} \right)}$$
=
    /    ___\
    |2*\/ 3 |
atan|-------|
    \   3   /
$$\operatorname{atan}{\left(\frac{2 \sqrt{3}}{3} \right)}$$
atan(2*sqrt(3)/3)
Respuesta numérica [src]
x1 = -93.3907076598437
x2 = -21.1340766272784
x3 = -30.5588545880478
x4 = -24.2756692808682
x5 = 19.7066278693889
x6 = 25.9898131765685
x7 = 16.5650352157991
x8 = 82.5384809411848
x9 = -87.1075223526641
x10 = -83.9659296990743
x11 = -5.42611335932946
x12 = -46.2668178559968
x13 = -68.2579664311253
x14 = 44.8393690981072
x15 = 41.6977764445174
x16 = -33.7004472416376
x17 = -43.125225202407
x18 = -74.5411517383049
x19 = -55.6915958167661
x20 = 51.1225544052868
x21 = 35.4145911373379
x22 = 7.14025725502972
x23 = 0.857071947850131
x24 = -11.709298666509
x25 = -17.9924839736886
x26 = 63.688925019646
x27 = 66.8305176732358
x28 = -90.2491150062539
x29 = 98.2464442091337
x30 = 101.388036862724
x31 = 85.6800735947746
x32 = 54.2641470588766
x33 = -58.8331884703559
x34 = 60.5473323660562
x35 = -65.1163737775355
x36 = -14.8508913200988
x37 = 79.396888287595
x38 = 32.2729984837481
x39 = 73.1137029804154
x40 = -71.3995590847151
x41 = -8.56770601291925
x42 = 13.4234425622093
x43 = -49.4084105095866
x44 = -2.28452070573966
x45 = 88.8216662483643
x46 = -77.6827443918947
x47 = 47.980961751697
x48 = 76.2552956340052
x49 = -27.417261934458
x50 = -96.5323003134335
x51 = -99.6738929670232
x52 = 29.1314058301583
x53 = -61.9747811239457
x54 = -80.8243370454845
x55 = 38.5561837909276
x56 = 10.2818499086195
x57 = -52.5500031631764
x58 = 91.9632589019541
x59 = 69.9721103268256
x60 = -36.8420398952274
x61 = 57.4057397124664
x62 = 95.1048515555439
x63 = 3.99866460143992
x64 = -39.9836325488172
x65 = 22.8482205229787
x65 = 22.8482205229787