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sinxcos5x+sin5xcosx=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
sin(x)*cos(5*x) + sin(5*x)*cos(x) = 0
$$\sin{\left(x \right)} \cos{\left(5 x \right)} + \sin{\left(5 x \right)} \cos{\left(x \right)} = 0$$
Simplificar
Gráfica
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Suma y producto de raíces [src] 
suma
  5*pi   2*pi   pi   pi   pi   pi   pi   pi   2*pi   5*pi     
- ---- - ---- - -- - -- - -- + -- + -- + -- + ---- + ---- + pi
   6      3     2    3    6    6    3    2     3      6
$$\left(\left(\left(\left(\left(\left(\left(\left(\left(- \frac{5 \pi}{6} - \frac{2 \pi}{3}\right) - \frac{\pi}{2}\right) - \frac{\pi}{3}\right) - \frac{\pi}{6}\right) + \frac{\pi}{6}\right) + \frac{\pi}{3}\right) + \frac{\pi}{2}\right) + \frac{2 \pi}{3}\right) + \frac{5 \pi}{6}\right) + \pi$$ 
=
pi
$$\pi$$ 
producto
  -5*pi -2*pi -pi  -pi  -pi  pi pi pi 2*pi 5*pi   
0*-----*-----*----*----*----*--*--*--*----*----*pi
    6     3    2    3    6   6  3  2   3    6
$$\pi \frac{5 \pi}{6} \frac{2 \pi}{3} \frac{\pi}{2} \frac{\pi}{3} \frac{\pi}{6} \cdot - \frac{\pi}{6} \cdot - \frac{\pi}{3} \cdot - \frac{\pi}{2} \cdot - \frac{2 \pi}{3} \cdot 0 \left(- \frac{5 \pi}{6}\right)$$ 
=
0
$$0$$ 
0
Respuesta rápida [src] 
x1 = 0
$$x_{1} = 0$$ 
     -5*pi
x2 = -----
       6
$$x_{2} = - \frac{5 \pi}{6}$$ 
     -2*pi
x3 = -----
       3
$$x_{3} = - \frac{2 \pi}{3}$$ 
     -pi 
x4 = ----
      2
$$x_{4} = - \frac{\pi}{2}$$ 
     -pi 
x5 = ----
      3
$$x_{5} = - \frac{\pi}{3}$$ 
     -pi 
x6 = ----
      6
$$x_{6} = - \frac{\pi}{6}$$ 
     pi
x7 = --
     6
$$x_{7} = \frac{\pi}{6}$$ 
     pi
x8 = --
     3
$$x_{8} = \frac{\pi}{3}$$ 
     pi
x9 = --
     2
$$x_{9} = \frac{\pi}{2}$$ 
      2*pi
x10 = ----
       3
$$x_{10} = \frac{2 \pi}{3}$$ 
      5*pi
x11 = ----
       6
$$x_{11} = \frac{5 \pi}{6}$$ 
x12 = pi
$$x_{12} = \pi$$ 
x12 = pi
Respuesta numérica [src] 
x1 = -83.7758040957278
x2 = -15.707963267949
x3 = -100.007366139275
x4 = -71.733032256967
x5 = 21.9911485751286
x6 = 0.0
x7 = -29.845130209103
x8 = -21.9911485751286
x9 = 4.18879020478639
x10 = -75.9218224617533
x11 = 28.2743338823081
x12 = -31.9395253114962
x13 = 72.2566310325652
x14 = -90.5825881785057
x15 = 24.0855436775217
x16 = 60.2138591938044
x17 = -49.7418836818384
x18 = -25.6563400043166
x19 = -34.0339204138894
x20 = 87.9645943005142
x21 = -95.8185759344887
x22 = -43.9822971502571
x23 = -39.7935069454707
x24 = 50.2654824574367
x25 = 2.0943951023932
x26 = 97.9129710368819
x27 = -53.9306738866248
x28 = -61.7846555205993
x29 = 58.1194640914112
x30 = 68.0678408277789
x31 = -41.8879020478639
x32 = 34.0339204138894
x33 = 100.007366139275
x34 = -12.0427718387609
x35 = -85.870199198121
x36 = 12.0427718387609
x37 = -81.6814089933346
x38 = 94.2477796076938
x39 = 75.9218224617533
x40 = -59.1666616426078
x41 = 62.3082542961976
x42 = 18.3259571459405
x43 = 93.2005820564972
x44 = 36.1283155162826
x45 = -24.0855436775217
x46 = 38.2227106186758
x47 = -3.66519142918809
x48 = 31.9395253114962
x49 = -68.0678408277789
x50 = 96.342174710087
x51 = 65.9734457253857
x52 = -82.2050077689329
x53 = -17.8023583703422
x54 = -87.9645943005142
x55 = 99.4837673636768
x56 = 92.1533845053006
x57 = 82.2050077689329
x58 = -19.8967534727354
x59 = 84.2994028713261
x60 = -2.0943951023932
x61 = -27.7507351067098
x62 = -5.75958653158129
x63 = 46.0766922526503
x64 = 80.1106126665397
x65 = -90.0589894029074
x66 = 48.1710873550435
x67 = 40.317105721069
x68 = -78.0162175641465
x69 = -65.9734457253857
x70 = 10.471975511966
x71 = 43.9822971502571
x72 = 14.1371669411541
x73 = 70.162235930172
x74 = -37.6991118430775
x75 = -59.6902604182061
x76 = -93.7241808320955
x77 = 56.025068989018
x78 = 78.0162175641465
x79 = 34.5575191894877
x80 = -73.8274273593601
x81 = 6.28318530717959
x82 = -97.9129710368819
x83 = -9.94837673636768
x84 = -56.025068989018
x85 = -63.8790506229925
x86 = -51.8362787842316
x87 = 67.5442420521806
x88 = 16.2315620435473
x89 = -7.85398163397448
x90 = -46.0766922526503
x91 = 9.94837673636768
x92 = 90.0589894029074
x93 = 26.1799387799149
x94 = 53.9306738866248
x94 = 53.9306738866248
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