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sin4x+cos^2x=2sin4xcos^4x la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
              2                    4   
sin(4*x) + cos (x) = 2*sin(4*x)*cos (x)
$$\sin{\left(4 x \right)} + \cos^{2}{\left(x \right)} = 2 \sin{\left(4 x \right)} \cos^{4}{\left(x \right)}$$
Gráfica
Suma y producto de raíces [src]
suma
  pi   pi
- -- + --
  2    2 
$$- \frac{\pi}{2} + \frac{\pi}{2}$$
=
0
$$0$$
producto
-pi  pi
----*--
 2   2 
$$- \frac{\pi}{2} \frac{\pi}{2}$$
=
   2 
-pi  
-----
  4  
$$- \frac{\pi^{2}}{4}$$
-pi^2/4
Respuesta rápida [src]
     -pi 
x1 = ----
      2  
$$x_{1} = - \frac{\pi}{2}$$
     pi
x2 = --
     2 
$$x_{2} = \frac{\pi}{2}$$
x2 = pi/2
Respuesta numérica [src]
x1 = 42.4115008234622
x2 = 92.0243743332402
x3 = -86.3937979737193
x4 = 29.845130209103
x5 = -42.4115008234622
x6 = 89.5353906273091
x7 = -95.8185759344887
x8 = -64.4026493985908
x9 = 14.1371669411541
x10 = -24.2145538495821
x11 = 35.4757065686239
x12 = -83.9048142677882
x13 = 22.9093359542648
x14 = 70.0332257581117
x15 = -80.1106126665397
x16 = 83.2522053201295
x17 = 1.5707963267949
x18 = -46.2057024247107
x19 = -7.85398163397448
x20 = -76.9690200129499
x21 = -58.7720730390699
x22 = 36.1283155162826
x23 = -33.6393318103515
x24 = 23.5619449019235
x25 = -36.7809244639413
x26 = -55.6304803854801
x27 = -61.9136656926597
x28 = 51.8362787842316
x29 = 98.3075596404198
x30 = 45.553093477052
x31 = -17.9313685424026
x32 = 76.3164110652912
x33 = 67.5442420521806
x34 = -39.9225171175311
x35 = 51.1836698365729
x36 = -58.1194640914112
x37 = 73.8274273593601
x38 = -80.7632216141984
x39 = 95.8185759344887
x40 = 101.44915229401
x41 = -70.6858347057703
x42 = 80.1106126665397
x43 = 58.1194640914112
x44 = 26.0509286078546
x45 = -11.648183235223
x46 = 44.9004845293933
x47 = -14.1371669411541
x48 = 48.0420771829831
x49 = 54.3252624901627
x50 = 7.85398163397448
x51 = -89.5353906273091
x52 = -29.845130209103
x53 = 1236.21670918758
x54 = 86.3937979737193
x55 = 32.3341139150341
x56 = -93.3295922285576
x57 = 73.1748184117015
x58 = -87.046406921378
x59 = -36.1283155162826
x60 = 4.059780032726
x61 = 10.3429653399056
x62 = -96.4711848821474
x63 = -51.8362787842316
x64 = -21.0729611959923
x65 = -73.8274273593601
x66 = 64.4026493985908
x67 = -20.4203522483337
x68 = 82.5995963724708
x69 = 61.261056745001
x69 = 61.261056745001