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sin(2*x)+cos(x)=0

sin(2*x)+cos(x)=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
sin(2*x) + cos(x) = 0
$$\sin{\left(2 x \right)} + \cos{\left(x \right)} = 0$$
Gráfica
Respuesta rápida [src]
     -5*pi
x1 = -----
       6  
$$x_{1} = - \frac{5 \pi}{6}$$
     -pi 
x2 = ----
      2  
$$x_{2} = - \frac{\pi}{2}$$
     -pi 
x3 = ----
      6  
$$x_{3} = - \frac{\pi}{6}$$
     pi
x4 = --
     2 
$$x_{4} = \frac{\pi}{2}$$
x4 = pi/2
Suma y producto de raíces [src]
suma
  5*pi   pi   pi   pi
- ---- - -- - -- + --
   6     2    6    2 
$$\left(\left(- \frac{5 \pi}{6} - \frac{\pi}{2}\right) - \frac{\pi}{6}\right) + \frac{\pi}{2}$$
=
-pi
$$- \pi$$
producto
-5*pi -pi  -pi  pi
-----*----*----*--
  6    2    6   2 
$$\frac{\pi}{2} \cdot - \frac{\pi}{6} \cdot - \frac{5 \pi}{6} \left(- \frac{\pi}{2}\right)$$
=
     4
-5*pi 
------
 144  
$$- \frac{5 \pi^{4}}{144}$$
-5*pi^4/144
Respuesta numérica [src]
x1 = -80.1106126665397
x2 = 5.75958653158129
x3 = -82.2050077689329
x4 = 97.9129710368819
x5 = -46.6002910282486
x6 = -23.5619449019235
x7 = 60.2138591938044
x8 = 26.7035375555132
x9 = -73.8274273593601
x10 = -36.1283155162826
x11 = -84.2994028713261
x12 = 86.3937979737193
x13 = 62.3082542961976
x14 = 49.7418836818384
x15 = 48.6946861306418
x16 = -64.4026493985908
x17 = -75.9218224617533
x18 = 70.6858347057703
x19 = 66.497044500984
x20 = 93.7241808320955
x21 = 42.4115008234622
x22 = -67.5442420521806
x23 = 89.5353906273091
x24 = 1.5707963267949
x25 = 14.1371669411541
x26 = -7.85398163397448
x27 = -78.0162175641465
x28 = -86.3937979737193
x29 = 80.1106126665397
x30 = 100.007366139275
x31 = 37.1755130674792
x32 = -63.3554518473942
x33 = -29.845130209103
x34 = 72.7802298081635
x35 = 53.9306738866248
x36 = -69.6386371545737
x37 = 87.4409955249159
x38 = -94.7713783832921
x39 = 12.0427718387609
x40 = -21.4675497995303
x41 = 9.94837673636768
x42 = 51.8362787842316
x43 = 218.340689424491
x44 = 95.8185759344887
x45 = -95.8185759344887
x46 = -17.2787595947439
x47 = 56.025068989018
x48 = 43.4586983746588
x49 = 58.1194640914112
x50 = 29.845130209103
x51 = -44.5058959258554
x52 = -71.733032256967
x53 = -40.317105721069
x54 = -50.789081233035
x55 = -58.1194640914112
x56 = 36.1283155162826
x57 = -45.553093477052
x58 = -42.4115008234622
x59 = -14.1371669411541
x60 = -15.1843644923507
x61 = 18.3259571459405
x62 = -25.6563400043166
x63 = 28.7979326579064
x64 = -0.523598775598299
x65 = -27.7507351067098
x66 = -34.0339204138894
x67 = -65.4498469497874
x68 = -31.9395253114962
x69 = -61.261056745001
x70 = 22.5147473507269
x71 = 20.4203522483337
x72 = -88.4881930761125
x73 = 45.553093477052
x74 = 16.2315620435473
x75 = -38.2227106186758
x76 = -51.8362787842316
x77 = 64.4026493985908
x78 = -59.1666616426078
x79 = 73.8274273593601
x80 = -1.5707963267949
x81 = 7.85398163397448
x82 = -89.5353906273091
x82 = -89.5353906273091
Gráfico
sin(2*x)+cos(x)=0 la ecuación