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2Cos(x)*Sin(4x)-Sin(3x)=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
2*cos(x)*sin(4*x) - sin(3*x) = 0
$$- \sin{\left(3 x \right)} + \sin{\left(4 x \right)} 2 \cos{\left(x \right)} = 0$$
Simplificar
Gráfica
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Respuesta rápida [src] 
x1 = 0
$$x_{1} = 0$$ 
     -4*pi
x2 = -----
       5
$$x_{2} = - \frac{4 \pi}{5}$$ 
     -3*pi
x3 = -----
       5
$$x_{3} = - \frac{3 \pi}{5}$$ 
     -2*pi
x4 = -----
       5
$$x_{4} = - \frac{2 \pi}{5}$$ 
     -pi 
x5 = ----
      5
$$x_{5} = - \frac{\pi}{5}$$ 
     pi
x6 = --
     5
$$x_{6} = \frac{\pi}{5}$$ 
     2*pi
x7 = ----
      5
$$x_{7} = \frac{2 \pi}{5}$$ 
     3*pi
x8 = ----
      5
$$x_{8} = \frac{3 \pi}{5}$$ 
     4*pi
x9 = ----
      5
$$x_{9} = \frac{4 \pi}{5}$$ 
x10 = pi
$$x_{10} = \pi$$ 
x10 = pi
Suma y producto de raíces [src] 
suma
  4*pi   3*pi   2*pi   pi   pi   2*pi   3*pi   4*pi     
- ---- - ---- - ---- - -- + -- + ---- + ---- + ---- + pi
   5      5      5     5    5     5      5      5
$$\left(\left(\left(\left(\left(\left(\left(- \frac{4 \pi}{5} - \frac{3 \pi}{5}\right) - \frac{2 \pi}{5}\right) - \frac{\pi}{5}\right) + \frac{\pi}{5}\right) + \frac{2 \pi}{5}\right) + \frac{3 \pi}{5}\right) + \frac{4 \pi}{5}\right) + \pi$$ 
=
pi
$$\pi$$ 
producto
  -4*pi -3*pi -2*pi -pi  pi 2*pi 3*pi 4*pi   
0*-----*-----*-----*----*--*----*----*----*pi
    5     5     5    5   5   5    5    5
$$\pi \frac{4 \pi}{5} \frac{3 \pi}{5} \frac{2 \pi}{5} \frac{\pi}{5} \cdot - \frac{\pi}{5} \cdot - \frac{2 \pi}{5} \cdot - \frac{3 \pi}{5} \cdot 0 \left(- \frac{4 \pi}{5}\right)$$ 
=
0
$$0$$ 
0
Respuesta numérica [src] 
x1 = -42.0973415581032
x2 = 45.867252742411
x3 = -15.707963267949
x4 = -57.8053048260522
x5 = 55.9203492338983
x6 = 8.16814089933346
x7 = 26.3893782901543
x8 = 21.9911485751286
x9 = 0.0
x10 = -21.9911485751286
x11 = -64.0884901332318
x12 = 28.2743338823081
x13 = 48.3805268652828
x14 = -93.6194610769758
x15 = 72.2566310325652
x16 = -35.8141562509236
x17 = -47.7522083345649
x18 = -3.76991118430775
x19 = -76.026542216873
x20 = 87.9645943005142
x21 = -43.9822971502571
x22 = 50.2654824574367
x23 = -74.1415866247191
x24 = 16.3362817986669
x25 = 189.752196276824
x26 = -89.8495498926681
x27 = 52.1504380495906
x28 = 18.2212373908208
x29 = -98.0176907920015
x30 = -81.6814089933346
x31 = -77.9114978090269
x32 = 94.2477796076938
x33 = 38.3274303737955
x34 = -91.734505484822
x35 = -20.1061929829747
x36 = -32.0442450666159
x37 = 67.8584013175395
x38 = 30.159289474462
x39 = -13.8230076757951
x40 = -10.0530964914873
x41 = 42.0973415581032
x42 = -33.9292006587698
x43 = -79.7964534011807
x44 = -23.8761041672824
x45 = 65.9734457253857
x46 = 101.159283445591
x47 = 98.0176907920015
x48 = 70.3716754404114
x49 = 20.1061929829747
x50 = -54.0353936417444
x51 = 62.2035345410779
x52 = 32.0442450666159
x53 = 54.0353936417444
x54 = -87.9645943005142
x55 = 77.9114978090269
x56 = 5.02654824574367
x57 = -27.6460153515902
x58 = 99.9026463841554
x59 = 60.318578948924
x60 = 11.3097335529233
x61 = 64.0884901332318
x62 = 11.9380520836412
x63 = -11.9380520836412
x64 = -65.9734457253857
x65 = 92.3628240155399
x66 = 43.9822971502571
x67 = 84.1946831162065
x68 = -49.6371639267187
x69 = -37.6991118430775
x70 = -59.6902604182061
x71 = 33.9292006587698
x72 = 86.0796387083603
x73 = 40.2123859659494
x74 = -96.1327351998477
x75 = 82.3097275240526
x76 = -5.65486677646163
x77 = 89.2212313619501
x78 = 76.026542216873
x79 = -71.6283125018473
x80 = -55.9203492338983
x81 = 6.28318530717959
x82 = -45.867252742411
x83 = -69.7433569096934
x84 = -1.88495559215388
x85 = 74.1415866247191
x86 = 10.0530964914873
x87 = 1.88495559215388
x88 = 23.8761041672824
x89 = -25.7610597594363
x90 = 5.65486677646163
x91 = -99.9026463841554
x92 = -86.0796387083603
x93 = -67.8584013175395
x94 = -52.7787565803085
x95 = 96.1327351998477
x95 = 96.1327351998477
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