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(2*sin(x)^2-3*sin(x)+1)/(sqrt(3)*tg(x)-1)=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
     2                      
2*sin (x) - 3*sin(x) + 1    
------------------------ = 0
      ___                   
    \/ 3 *tan(x) - 1        
$$\frac{\left(2 \sin^{2}{\left(x \right)} - 3 \sin{\left(x \right)}\right) + 1}{\sqrt{3} \tan{\left(x \right)} - 1} = 0$$
Gráfica
Respuesta rápida [src]
     pi
x1 = --
     2 
$$x_{1} = \frac{\pi}{2}$$
     5*pi
x2 = ----
      6  
$$x_{2} = \frac{5 \pi}{6}$$
x2 = 5*pi/6
Suma y producto de raíces [src]
suma
pi   5*pi
-- + ----
2     6  
$$\frac{\pi}{2} + \frac{5 \pi}{6}$$
=
4*pi
----
 3  
$$\frac{4 \pi}{3}$$
producto
pi 5*pi
--*----
2   6  
$$\frac{\pi}{2} \frac{5 \pi}{6}$$
=
    2
5*pi 
-----
  12 
$$\frac{5 \pi^{2}}{12}$$
5*pi^2/12
Respuesta numérica [src]
x1 = 4.71238898038469
x2 = 58.1194634360587
x3 = 14.1371773280793
x4 = -53.9306738866248
x5 = 14.1372450374663
x6 = -73.8274107688253
x7 = 95.8186231193097
x8 = -39.2699081698724
x9 = -73.8272974153226
x10 = 58.119501695255
x11 = 1.57086926419159
x12 = 26.7034276916785
x13 = -23.5619926550091
x14 = -47.6474885794452
x15 = 34.0339204138894
x16 = -61.2611745108082
x17 = -45.553093477052
x18 = -36.1282790477938
x19 = 10.9955742875643
x20 = -28.7979326579064
x21 = -20.4203522483337
x22 = -9.94837673636768
x23 = 7.85402189557085
x24 = -64.4026493985908
x25 = 48.6946861306418
x26 = -58.1194640914112
x27 = 89.5354624577682
x28 = -66.497044500984
x29 = 23.5619449019235
x30 = 78.0162175641465
x31 = -83.2522053201295
x32 = 98.9601685880785
x33 = 86.3937979737193
x34 = 102.101759367265
x35 = -17.2788734222409
x36 = -29.8450159522152
x37 = -14.1371669411541
x38 = 21.4675497995303
x39 = -86.3937257472607
x40 = -76.9690200129499
x41 = -89.5353906273091
x42 = 64.4026103236673
x43 = -97.9129710368819
x44 = -22.5147473507269
x45 = 29.845130209103
x46 = -51.8362787842316
x47 = -92.6769091051588
x48 = 92.6769832808989
x49 = 45.5531661387221
x50 = -7.85398163397448
x51 = 54.9778714378214
x52 = 65.4498469497874
x53 = 20.420308819637
x54 = -29.8451141602273
x55 = 80.1106126665397
x56 = 70.6857288300708
x57 = 42.4115008234622
x58 = 51.8363226125494
x59 = 36.1283155162826
x60 = 15.1843644923507
x61 = -1.5707963267949
x62 = -95.8185759344887
x63 = -3.66519142918809
x64 = -32.9867228626928
x65 = -80.110580238459
x66 = 67.5442420521806
x67 = 40.317105721069
x68 = 84.2994028713261
x69 = 59.1666616426078
x70 = 27.7507351067098
x71 = -16.2315620435473
x72 = -67.5442941025478
x73 = 71.733032256967
x74 = -42.4114280559097
x75 = -60.2138591938044
x76 = 73.8274273593601
x77 = -72.7802298081635
x77 = -72.7802298081635