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tg(x-П/6)=1/✓3 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
   /    pi\     1  
tan|x - --| = -----
   \    6 /     ___
              \/ 3 
$$\tan{\left(x - \frac{\pi}{6} \right)} = \frac{1}{\sqrt{3}}$$
Gráfica
Respuesta rápida [src]
     -2*pi
x1 = -----
       3  
$$x_{1} = - \frac{2 \pi}{3}$$
x1 = -2*pi/3
Suma y producto de raíces [src]
suma
-2*pi
-----
  3  
$$- \frac{2 \pi}{3}$$
=
-2*pi
-----
  3  
$$- \frac{2 \pi}{3}$$
producto
-2*pi
-----
  3  
$$- \frac{2 \pi}{3}$$
=
-2*pi
-----
  3  
$$- \frac{2 \pi}{3}$$
-2*pi/3
Respuesta numérica [src]
x1 = 60.7374579694027
x2 = 38.7463093942741
x3 = 13.6135681655558
x4 = 4.18879020478639
x5 = -55.5014702134197
x6 = -30.3687289847013
x7 = -61.7846555205993
x8 = -14.6607657167524
x9 = -86.9173967493176
x10 = 89.0117918517108
x11 = 92.1533845053006
x12 = 1.0471975511966
x13 = -68.0678408277789
x14 = 29.3215314335047
x15 = -83.7758040957278
x16 = -2.0943951023932
x17 = -71.2094334813686
x18 = -96.342174710087
x19 = -99.4837673636768
x20 = 63.8790506229925
x21 = 41.8879020478639
x22 = -33.5103216382911
x23 = -27.2271363311115
x24 = -93.2005820564972
x25 = -77.4926187885482
x26 = -17.8023583703422
x27 = 7.33038285837618
x28 = -64.9262481741891
x29 = -11.5191730631626
x30 = 57.5958653158129
x31 = -42.9350995990605
x32 = -24.0855436775217
x33 = 70.162235930172
x34 = -90.0589894029074
x35 = 67.0206432765823
x36 = -36.6519142918809
x37 = 48.1710873550435
x38 = 19.8967534727354
x39 = 85.870199198121
x40 = 76.4454212373516
x41 = -46.0766922526503
x42 = 54.4542726622231
x43 = 23.0383461263252
x44 = -5.23598775598299
x45 = 51.3126800086333
x46 = 45.0294947014537
x47 = 16.7551608191456
x48 = 101.57816246607
x49 = -52.3598775598299
x50 = -39.7935069454707
x51 = -58.6430628670095
x52 = 10.471975511966
x53 = 26.1799387799149
x54 = 82.7286065445312
x55 = 98.4365698124802
x56 = -80.634211442138
x57 = -8.37758040957278
x58 = -74.3510261349584
x59 = 79.5870138909414
x60 = -49.2182849062401
x61 = 73.3038285837618
x62 = 35.6047167406843
x63 = 95.2949771588904
x64 = 32.4631240870945
x65 = -20.943951023932
x65 = -20.943951023932