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(4sin^2x-1)/(√17tgx)=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
     2           
4*sin (x) - 1    
------------- = 0
  ___________    
\/ 17*tan(x)     
$$\frac{4 \sin^{2}{\left(x \right)} - 1}{\sqrt{17 \tan{\left(x \right)}}} = 0$$
Gráfica
Respuesta rápida [src]
     -pi 
x1 = ----
      6  
$$x_{1} = - \frac{\pi}{6}$$
     pi
x2 = --
     6 
$$x_{2} = \frac{\pi}{6}$$
     5*pi
x3 = ----
      6  
$$x_{3} = \frac{5 \pi}{6}$$
     7*pi
x4 = ----
      6  
$$x_{4} = \frac{7 \pi}{6}$$
x4 = 7*pi/6
Suma y producto de raíces [src]
suma
  pi   pi   5*pi   7*pi
- -- + -- + ---- + ----
  6    6     6      6  
$$\left(\left(- \frac{\pi}{6} + \frac{\pi}{6}\right) + \frac{5 \pi}{6}\right) + \frac{7 \pi}{6}$$
=
2*pi
$$2 \pi$$
producto
-pi  pi 5*pi 7*pi
----*--*----*----
 6   6   6    6  
$$\frac{7 \pi}{6} \frac{5 \pi}{6} \cdot - \frac{\pi}{6} \frac{\pi}{6}$$
=
      4
-35*pi 
-------
  1296 
$$- \frac{35 \pi^{4}}{1296}$$
-35*pi^4/1296
Respuesta numérica [src]
x1 = 25.6563400043166
x2 = 30.8923277602996
x3 = 22.5147473507269
x4 = -25.6563400043166
x5 = -60.2138591938044
x6 = 84.2994028713261
x7 = 60.2138591938044
x8 = -43.4586983746588
x9 = 31.9395253114962
x10 = 53.9306738866248
x11 = 18.3259571459405
x12 = 44.5058959258554
x13 = 24.60914245312
x14 = 91.6297857297023
x15 = -91.6297857297023
x16 = 5.75958653158129
x17 = -37.1755130674792
x18 = 9.94837673636768
x19 = 49.7418836818384
x20 = -49.7418836818384
x21 = 27.7507351067098
x22 = -31.9395253114962
x23 = -97.9129710368819
x24 = -18.3259571459405
x25 = -82.2050077689329
x26 = 93.7241808320955
x27 = -84.2994028713261
x28 = 88.4881930761125
x29 = -62.3082542961976
x30 = 66.497044500984
x31 = -78.0162175641465
x32 = -9.94837673636768
x33 = 16.2315620435473
x34 = -5.75958653158129
x35 = 8.90117918517108
x36 = -100.007366139275
x37 = -22.5147473507269
x38 = -87.4409955249159
x39 = 94.7713783832921
x40 = -88.4881930761125
x41 = -93.7241808320955
x42 = -40.317105721069
x43 = -65.4498469497874
x44 = 78.0162175641465
x45 = 100.007366139275
x46 = 82.2050077689329
x47 = 69.6386371545737
x48 = -75.9218224617533
x49 = -53.9306738866248
x50 = -27.7507351067098
x51 = 3.66519142918809
x52 = -16.2315620435473
x53 = -56.025068989018
x54 = -44.5058959258554
x55 = 68.5914396033772
x56 = -34.0339204138894
x57 = 75.9218224617533
x58 = 97.9129710368819
x59 = 12.0427718387609
x60 = -0.523598775598299
x61 = -66.497044500984
x62 = 62.3082542961976
x63 = -21.4675497995303
x64 = 71.733032256967
x65 = -12.0427718387609
x66 = 90.5825881785057
x67 = 47.6474885794452
x68 = -69.6386371545737
x69 = -71.733032256967
x70 = 38.2227106186758
x71 = 40.317105721069
x72 = 56.025068989018
x73 = -47.6474885794452
x74 = -3.66519142918809
x75 = 34.0339204138894
x76 = -38.2227106186758
x76 = -38.2227106186758