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tan(x)=-sqrt(3)

tan(x)=-sqrt(3) la ecuación

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Solución numérica:

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Solución

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