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(16^(sin(x)^2)-4^sin(x))/(sqrt(cos(x))-1)=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
     2                 
  sin (x)    sin(x)    
16        - 4          
------------------- = 0
     ________          
   \/ cos(x)  - 1      
$$\frac{16^{\sin^{2}{\left(x \right)}} - 4^{\sin{\left(x \right)}}}{\sqrt{\cos{\left(x \right)}} - 1} = 0$$
Gráfica
Suma y producto de raíces [src]
suma
pi   5*pi     
-- + ---- + pi
6     6       
$$\left(\frac{\pi}{6} + \frac{5 \pi}{6}\right) + \pi$$
=
2*pi
$$2 \pi$$
producto
pi 5*pi   
--*----*pi
6   6     
$$\pi \frac{\pi}{6} \frac{5 \pi}{6}$$
=
    3
5*pi 
-----
  36 
$$\frac{5 \pi^{3}}{36}$$
5*pi^3/36
Respuesta rápida [src]
     pi
x1 = --
     6 
$$x_{1} = \frac{\pi}{6}$$
     5*pi
x2 = ----
      6  
$$x_{2} = \frac{5 \pi}{6}$$
x3 = pi
$$x_{3} = \pi$$
x3 = pi
Respuesta numérica [src]
x1 = -41.3643032722656
x2 = -84.8230016469244
x3 = -9.94837673636768
x4 = -100.007366139275
x5 = 65.9734457253857
x6 = -79.0634151153431
x7 = 28.2743338823081
x8 = -87.4409955249159
x9 = -78.5398163397448
x10 = -85.3466004225227
x11 = -28.7979326579064
x12 = -49.7418836818384
x13 = -53.4070751110265
x14 = 96.8657734856853
x15 = -65.9734457253857
x16 = -72.7802298081635
x17 = -62.3082542961976
x18 = 3.14159265358979
x19 = -53.9306738866248
x20 = 72.2566310325652
x21 = -72.2566310325652
x22 = -59.6902604182061
x23 = -12.0427718387609
x24 = -97.9129710368819
x25 = 90.5825881785057
x26 = -51.0461611610299 + 4.26114797618487*i
x27 = 75.9218224617533
x28 = -9.42477796076938
x29 = 91.106186954104
x30 = -3.14159265358979
x31 = 46.6002910282486
x32 = -21.9911485751286
x33 = -28.2743338823081
x34 = 38.2227106186758
x35 = -91.6297857297023
x36 = 34.0339204138894
x37 = 31.9395253114962
x38 = 9.42477796076938
x39 = 10.0658462406804 - 1.38176875555011*i
x40 = -34.5575191894877
x41 = -40.8407044966673
x42 = 78.0162175641465
x43 = -18.3259571459405
x44 = 15.1843644923507
x45 = 44.5058959258554
x46 = 40.317105721069
x47 = 78.5398163397448
x48 = -47.6474885794452
x49 = 82.2050077689329
x50 = -15.707963267949
x51 = 59.1666616426078
x52 = 59.6902604182061
x53 = 71.733032256967
x54 = 25.6563400043166
x55 = -97.3893722612836
x56 = -5.75958653158129
x57 = -3.66519142918809
x58 = 34.5575191894877
x59 = 15.707963267949
x60 = 40.8407044966673
x61 = 69.6386371545737
x62 = 2.61799387799149
x63 = 52.8834763354282
x64 = -43.4586983746588
x65 = 65.4498469497874
x66 = -93.7241808320955
x67 = 88.4881930761125
x68 = 21.9911485751286
x69 = 97.3893722612836
x70 = -47.1238898038469
x71 = -56.025068989018
x72 = -91.106186954104
x73 = 84.8230016469244
x74 = 53.4070751110265
x75 = -35.081117965086
x76 = 84.2994028713261
x77 = 47.1238898038469
x78 = -33.8806264966235 - 1.59172961799668*i
x79 = 8.90117918517108
x79 = 8.90117918517108