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sin^4(x)=cos^4(x)-cos(2*x)=0,5 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
   4         4              
sin (x) = cos (x) - cos(2*x)
$$\sin^{4}{\left(x \right)} = \cos^{4}{\left(x \right)} - \cos{\left(2 x \right)}$$
Gráfica
Suma y producto de raíces [src]
suma
  3*pi        pi   pi        3*pi       
- ---- - pi - -- + -- + pi + ---- + 2*pi
   2          2    2          2         
$$\left(\left(\left(\left(\left(- \frac{3 \pi}{2} - \pi\right) - \frac{\pi}{2}\right) + \frac{\pi}{2}\right) + \pi\right) + \frac{3 \pi}{2}\right) + 2 \pi$$
=
2*pi
$$2 \pi$$
producto
  -3*pi       -pi  pi    3*pi     
0*-----*(-pi)*----*--*pi*----*2*pi
    2          2   2      2       
$$2 \pi \frac{3 \pi}{2} \pi \frac{\pi}{2} \cdot - \frac{\pi}{2} \cdot - \pi 0 \left(- \frac{3 \pi}{2}\right)$$
=
0
$$0$$
0
Respuesta rápida [src]
x1 = 0
$$x_{1} = 0$$
     -3*pi
x2 = -----
       2  
$$x_{2} = - \frac{3 \pi}{2}$$
x3 = -pi
$$x_{3} = - \pi$$
     -pi 
x4 = ----
      2  
$$x_{4} = - \frac{\pi}{2}$$
     pi
x5 = --
     2 
$$x_{5} = \frac{\pi}{2}$$
x6 = pi
$$x_{6} = \pi$$
     3*pi
x7 = ----
      2  
$$x_{7} = \frac{3 \pi}{2}$$
x8 = 2*pi
$$x_{8} = 2 \pi$$
x8 = 2*pi
Respuesta numérica [src]
x1 = -22.25
x2 = -6.0
x3 = 36.0
x4 = -74.0
x5 = -10.0
x6 = 24.0
x7 = 72.0
x8 = -3.84090909090909
x9 = -94.0
x10 = 46.2
x11 = -59.75
x12 = 14.0
x13 = -99.8857142857143
x14 = 20.0
x15 = -33.7777777777778
x16 = 18.0
x17 = 22.25
x18 = 96.25
x19 = -80.0
x20 = -20.0
x21 = 68.4223602484472
x22 = 78.0833333333333
x23 = -55.7447966373586
x24 = -31.84375
x25 = 4.08333333333333
x26 = 58.0
x27 = -90.0
x28 = 76.25
x29 = 74.0
x30 = 64.25
x31 = 2.0
x32 = 88.0
x33 = 44.2083333333333
x34 = -51.8333333333333
x35 = -7.75
x36 = -76.9166666666667
x37 = -67.9166666666667
x38 = -62.375
x39 = 69.3060076960077
x40 = 11.9166666666667
x41 = -63.8125
x42 = -88.0
x43 = -36.0
x44 = 38.125
x45 = -84.0732378974435
x46 = 10.0
x47 = 6.0
x48 = 80.0
x49 = -30.0
x50 = 60.5
x51 = 100.25
x52 = 32.3522727272727
x53 = 53.0797258297258
x54 = 82.0
x55 = 15.85
x56 = -26.4166666666667
x57 = -58.0
x58 = 30.0
x59 = -24.0
x60 = -45.625
x61 = -39.8928571428571
x62 = -41.6898148148148
x63 = -85.5
x64 = -15.875
x65 = 92.0
x66 = -92.0
x67 = -47.9714992025518
x68 = -72.0
x69 = -97.75
x70 = -75.75
x71 = 0.0
x72 = 52.1875
x73 = -82.0
x74 = -11.8029279279279
x75 = 40.25
x76 = 84.5833333333333
x77 = 90.0
x78 = -54.4621212121212
x79 = 26.05
x80 = 48.1833333333333
x81 = -49.8125
x82 = -14.0
x83 = 94.0
x84 = -95.75
x85 = -66.0
x86 = -18.0
x87 = 97.7194444444444
x88 = 56.25
x89 = -27.6512345679012
x90 = 66.0
x91 = 41.7023809523809
x92 = -2.0
x93 = 33.8103514132926
x93 = 33.8103514132926