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tan(x)=sqrt(3)-2 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
           ___    
tan(x) = \/ 3  - 2
$$\tan{\left(x \right)} = -2 + \sqrt{3}$$
Solución detallada
Tenemos la ecuación
$$\tan{\left(x \right)} = -2 + \sqrt{3}$$
es la ecuación trigonométrica más simple
Esta ecuación se reorganiza en
$$x = \pi n + \operatorname{atan}{\left(-2 + \sqrt{3} \right)}$$
O
$$x = \pi n - \frac{\pi}{12}$$
, donde n es cualquier número entero
Gráfica
Respuesta rápida [src]
     -pi 
x1 = ----
      12 
$$x_{1} = - \frac{\pi}{12}$$
x1 = -pi/12
Suma y producto de raíces [src]
suma
-pi 
----
 12 
$$- \frac{\pi}{12}$$
=
-pi 
----
 12 
$$- \frac{\pi}{12}$$
producto
-pi 
----
 12 
$$- \frac{\pi}{12}$$
=
-pi 
----
 12 
$$- \frac{\pi}{12}$$
-pi/12
Respuesta numérica [src]
x1 = 56.2868683768171
x2 = 87.7027949127151
x3 = 78.2780169519457
x4 = -44.2440965380563
x5 = 50.0036830696375
x6 = -69.3768377667746
x7 = -78.801615727544
x8 = 34.2957198016886
x9 = 37.4373124552784
x10 = -31.6777259236971
x11 = 2.87979326579064
x12 = -3.40339204138894
x13 = -12.8281700021583
x14 = 65.7116463375865
x15 = 71.9948316447661
x16 = 59.4284610304069
x17 = 6.02138591938044
x18 = -28.5361332701073
x19 = 15.4461638801498
x20 = 81.4196096055355
x21 = -25.3945406165175
x22 = -50.5272818452358
x23 = -94.5095789954929
x24 = -81.9432083811338
x25 = -72.5184304203644
x26 = 75.1364242983559
x27 = -59.9520598060052
x28 = 93.9859802198946
x29 = 46.8620904160477
x30 = 21.7293491873294
x31 = -75.6600230739542
x32 = -22.2529479629277
x33 = 97.1275728734844
x34 = 18.5877565337396
x35 = -91.3679863419031
x36 = -47.3856891916461
x37 = -34.8193185772869
x38 = 100.269165527074
x39 = -66.2352451131848
x40 = 40.5789051088682
x41 = -0.261799387799149
x42 = -37.9609112308767
x43 = -15.9697626557481
x44 = -63.093652459595
x45 = -88.2263936883134
x46 = -6.54498469497874
x47 = 62.5700536839967
x48 = 84.5612022591253
x49 = 9.16297857297023
x50 = -56.8104671524154
x51 = -41.1025038844665
x52 = 24.8709418409192
x53 = -53.6688744988256
x54 = 68.8532389911763
x55 = 28.012534494509
x56 = 53.1452757232273
x57 = 12.30457122656
x58 = 43.720497762458
x59 = -85.0848010347236
x60 = -100.792764302673
x61 = -9.68657734856853
x62 = -19.1113553093379
x63 = -97.6511716490827
x64 = 31.1541271480988
x65 = 90.8443875663049
x65 = 90.8443875663049