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sin2x-cosx=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]
     -pi 
x1 = ----
      2  
$$x_{1} = - \frac{\pi}{2}$$
     pi
x2 = --
     6 
$$x_{2} = \frac{\pi}{6}$$
     pi
x3 = --
     2 
$$x_{3} = \frac{\pi}{2}$$
     5*pi
x4 = ----
      6  
$$x_{4} = \frac{5 \pi}{6}$$
x4 = 5*pi/6
Suma y producto de raíces [src]
suma
  pi   pi   pi   5*pi
- -- + -- + -- + ----
  2    6    2     6  
$$\left(\left(- \frac{\pi}{2} + \frac{\pi}{6}\right) + \frac{\pi}{2}\right) + \frac{5 \pi}{6}$$
=
pi
$$\pi$$
producto
-pi  pi pi 5*pi
----*--*--*----
 2   6  2   6  
$$\frac{5 \pi}{6} \frac{\pi}{2} \cdot - \frac{\pi}{2} \frac{\pi}{6}$$
=
     4
-5*pi 
------
 144  
$$- \frac{5 \pi^{4}}{144}$$
-5*pi^4/144
Respuesta numérica [src]
x1 = 51.8362787842316
x2 = -36.1283155162826
x3 = 4.71238898038469
x4 = -53.9306738866248
x5 = 36.1283155162826
x6 = 75.9218224617533
x7 = -4.71238898038469
x8 = -42.4115008234622
x9 = 0.523598775598299
x10 = -87.4409955249159
x11 = -80.1106126665397
x12 = 7.85398163397448
x13 = 65.4498469497874
x14 = 84.2994028713261
x15 = -29.845130209103
x16 = -2937.91272988205
x17 = -16.2315620435473
x18 = 38.2227106186758
x19 = 40.317105721069
x20 = -23.5619449019235
x21 = -17.2787595947439
x22 = 14.1371669411541
x23 = 27.7507351067098
x24 = 58.1194640914112
x25 = -37.1755130674792
x26 = -51.8362787842316
x27 = -39.2699081698724
x28 = 80.1106126665397
x29 = -81.1578102177363
x30 = 64.4026493985908
x31 = 67.5442420521806
x32 = -43.4586983746588
x33 = 44.5058959258554
x34 = -20.4203522483337
x35 = 50.789081233035
x36 = 88.4881930761125
x37 = -47.6474885794452
x38 = 78.0162175641465
x39 = 94.7713783832921
x40 = -58.1194640914112
x41 = 86.3937979737193
x42 = 6.80678408277789
x43 = -64.4026493985908
x44 = -5.75958653158129
x45 = -14.1371669411541
x46 = 23.5619449019235
x47 = -91.6297857297023
x48 = -7.85398163397448
x49 = 82.2050077689329
x50 = 20.4203522483337
x51 = -60.2138591938044
x52 = -93.7241808320955
x53 = -67.5442420521806
x54 = 73.8274273593601
x55 = -49.7418836818384
x56 = -100.007366139275
x57 = 34.0339204138894
x58 = -95.8185759344887
x59 = 42.4115008234622
x60 = -97.9129710368819
x61 = 95.8185759344887
x62 = 31.9395253114962
x63 = -56.025068989018
x64 = -3.66519142918809
x65 = -72.7802298081635
x66 = 102.101761241668
x67 = 29.845130209103
x68 = -73.8274273593601
x69 = -66.497044500984
x70 = 48.6946861306418
x71 = -89.5353906273091
x72 = -12.0427718387609
x73 = -45.553093477052
x74 = -1.5707963267949
x75 = -83.2522053201295
x76 = 71.733032256967
x77 = 21.4675497995303
x78 = 92.6769832808989
x79 = -9.94837673636768
x80 = -22.5147473507269
x81 = 57.0722665402146
x81 = 57.0722665402146