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tgx/3=sqrt(3)/3 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
           ___
tan(x)   \/ 3 
------ = -----
  3        3  
$$\frac{\tan{\left(x \right)}}{3} = \frac{\sqrt{3}}{3}$$
Solución detallada
Tenemos la ecuación
$$\frac{\tan{\left(x \right)}}{3} = \frac{\sqrt{3}}{3}$$
es la ecuación trigonométrica más simple
Dividamos ambos miembros de la ecuación en 1/3

La ecuación se convierte en
$$\tan{\left(x \right)} = \sqrt{3}$$
Esta ecuación se reorganiza en
$$x = \pi n + \operatorname{atan}{\left(\sqrt{3} \right)}$$
O
$$x = \pi n + \frac{\pi}{3}$$
, donde n es cualquier número entero
Gráfica
Respuesta rápida [src]
     pi
x1 = --
     3 
$$x_{1} = \frac{\pi}{3}$$
x1 = pi/3
Suma y producto de raíces [src]
suma
pi
--
3 
$$\frac{\pi}{3}$$
=
pi
--
3 
$$\frac{\pi}{3}$$
producto
pi
--
3 
$$\frac{\pi}{3}$$
=
pi
--
3 
$$\frac{\pi}{3}$$
pi/3
Respuesta numérica [src]
x1 = -64.9262481741891
x2 = 10.471975511966
x3 = 57.5958653158129
x4 = 73.3038285837618
x5 = -39.7935069454707
x6 = 35.6047167406843
x7 = -80.634211442138
x8 = -61.7846555205993
x9 = 45.0294947014537
x10 = -74.3510261349584
x11 = 70.162235930172
x12 = -55.5014702134197
x13 = -83.7758040957278
x14 = 4.18879020478639
x15 = -93.2005820564972
x16 = 95.2949771588904
x17 = -36.6519142918809
x18 = -68.0678408277789
x19 = -52.3598775598299
x20 = 29.3215314335047
x21 = 23.0383461263252
x22 = 32.4631240870945
x23 = 13.6135681655558
x24 = 76.4454212373516
x25 = 98.4365698124802
x26 = 1.0471975511966
x27 = -58.6430628670095
x28 = 67.0206432765823
x29 = 54.4542726622231
x30 = 7.33038285837618
x31 = 101.57816246607
x32 = 79.5870138909414
x33 = -27.2271363311115
x34 = -99.4837673636768
x35 = 82.7286065445312
x36 = 16.7551608191456
x37 = 92.1533845053006
x38 = -24.0855436775217
x39 = -8.37758040957278
x40 = 38.7463093942741
x41 = 26.1799387799149
x42 = 48.1710873550435
x43 = 63.8790506229925
x44 = -11.5191730631626
x45 = -17.8023583703422
x46 = -5.23598775598299
x47 = -2.0943951023932
x48 = -90.0589894029074
x49 = -42.9350995990605
x50 = -14.6607657167524
x51 = -30.3687289847013
x52 = -96.342174710087
x53 = 41.8879020478639
x54 = -86.9173967493176
x55 = -20.943951023932
x56 = 85.870199198121
x57 = -71.2094334813686
x58 = 60.7374579694027
x59 = 19.8967534727354
x60 = -33.5103216382911
x61 = -77.4926187885482
x62 = -49.2182849062401
x63 = 51.3126800086333
x64 = -46.0766922526503
x64 = -46.0766922526503