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tg(x−(pi/6))=sqrt3 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
   /    pi\     ___
tan|x - --| = \/ 3 
   \    6 /        
$$\tan{\left(x - \frac{\pi}{6} \right)} = \sqrt{3}$$
Gráfica
Respuesta rápida [src]
     -pi 
x1 = ----
      2  
$$x_{1} = - \frac{\pi}{2}$$
x1 = -pi/2
Suma y producto de raíces [src]
suma
-pi 
----
 2  
$$- \frac{\pi}{2}$$
=
-pi 
----
 2  
$$- \frac{\pi}{2}$$
producto
-pi 
----
 2  
$$- \frac{\pi}{2}$$
=
-pi 
----
 2  
$$- \frac{\pi}{2}$$
-pi/2
Respuesta numérica [src]
x1 = 17.2787595947439
x2 = -23.5619449019235
x3 = -14.1371669411541
x4 = 51.8362787842316
x5 = -17.2787595947439
x6 = -36.1283155162826
x7 = -95.8185759344887
x8 = -48.6946861306418
x9 = -26.7035375555132
x10 = 4.71238898038469
x11 = 26.7035375555132
x12 = 89.5353906273091
x13 = 23.5619449019235
x14 = 14.1371669411541
x15 = 42.4115008234622
x16 = 95.8185759344887
x17 = -61.261056745001
x18 = 58.1194640914112
x19 = 36.1283155162826
x20 = 102.101761241668
x21 = 29.845130209103
x22 = -73.8274273593601
x23 = 61.261056745001
x24 = 48.6946861306418
x25 = -4.71238898038469
x26 = 70.6858347057703
x27 = -7.85398163397448
x28 = -51.8362787842316
x29 = -76.9690200129499
x30 = -89.5353906273091
x31 = -39.2699081698724
x32 = 80.1106126665397
x33 = -42.4115008234622
x34 = 83.2522053201295
x35 = -92.6769832808989
x36 = 32.9867228626928
x37 = 20.4203522483337
x38 = 64.4026493985908
x39 = 67.5442420521806
x40 = -20.4203522483337
x41 = -80.1106126665397
x42 = 7.85398163397448
x43 = -45.553093477052
x44 = 76.9690200129499
x45 = -1.5707963267949
x46 = 39.2699081698724
x47 = -70.6858347057703
x48 = -67.5442420521806
x49 = -29.845130209103
x50 = -83.2522053201295
x51 = -86.3937979737193
x52 = 98.9601685880785
x53 = 73.8274273593601
x54 = -58.1194640914112
x55 = 92.6769832808989
x56 = 54.9778714378214
x57 = 86.3937979737193
x58 = 1.5707963267949
x59 = -54.9778714378214
x60 = -64.4026493985908
x61 = 10.9955742875643
x61 = 10.9955742875643