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sin(7x)*cos(x)-cos(7x)*sin(x)=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
sin(7*x)*cos(x) - cos(7*x)*sin(x) = 0
$$- \sin{\left(x \right)} \cos{\left(7 x \right)} + \sin{\left(7 x \right)} \cos{\left(x \right)} = 0$$
Simplificar
Gráfica
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Respuesta rápida [src] 
x1 = 0
$$x_{1} = 0$$ 
     -5*pi
x2 = -----
       6
$$x_{2} = - \frac{5 \pi}{6}$$ 
     -pi 
x3 = ----
      2
$$x_{3} = - \frac{\pi}{2}$$ 
     -pi 
x4 = ----
      6
$$x_{4} = - \frac{\pi}{6}$$ 
     pi
x5 = --
     6
$$x_{5} = \frac{\pi}{6}$$ 
     pi
x6 = --
     2
$$x_{6} = \frac{\pi}{2}$$ 
     5*pi
x7 = ----
      6
$$x_{7} = \frac{5 \pi}{6}$$ 
x7 = 5*pi/6
Suma y producto de raíces [src] 
suma
  5*pi   pi   pi   pi   pi   5*pi
- ---- - -- - -- + -- + -- + ----
   6     2    6    6    2     6
$$\left(\left(\left(\left(- \frac{5 \pi}{6} - \frac{\pi}{2}\right) - \frac{\pi}{6}\right) + \frac{\pi}{6}\right) + \frac{\pi}{2}\right) + \frac{5 \pi}{6}$$ 
=
0
$$0$$ 
producto
  -5*pi -pi  -pi  pi pi 5*pi
0*-----*----*----*--*--*----
    6    2    6   6  2   6
$$\frac{5 \pi}{6} \frac{\pi}{2} \frac{\pi}{6} \cdot - \frac{\pi}{6} \cdot - \frac{\pi}{2} \cdot 0 \left(- \frac{5 \pi}{6}\right)$$ 
=
0
$$0$$ 
0
Respuesta numérica [src] 
x1 = -75.9218224617533
x2 = -24.0855436775217
x3 = 40.317105721069
x4 = 78.0162175641465
x5 = -46.0766922526503
x6 = 93.2005820564972
x7 = -34.0339204138894
x8 = 90.0589894029074
x9 = -5.75958653158129
x10 = -97.9129710368819
x11 = -9.94837673636768
x12 = 12.0427718387609
x13 = 34.5575191894877
x14 = -21.9911485751286
x15 = 4.18879020478639
x16 = -95.8185759344887
x17 = -81.6814089933346
x18 = 100.007366139275
x19 = -49.7418836818384
x20 = -53.9306738866248
x21 = 46.0766922526503
x22 = -90.5825881785057
x23 = 67.5442420521806
x24 = -59.6902604182061
x25 = -56.025068989018
x26 = 36.1283155162826
x27 = -43.9822971502571
x28 = 58.1194640914112
x29 = -29.845130209103
x30 = -41.8879020478639
x31 = 31.9395253114962
x32 = 43.9822971502571
x33 = -39.7935069454707
x34 = -15.707963267949
x35 = -365.995544143211
x36 = 16.2315620435473
x37 = 0.0
x38 = -65.9734457253857
x39 = 60.2138591938044
x40 = 80.1106126665397
x41 = -12.0427718387609
x42 = 82.2050077689329
x43 = 56.025068989018
x44 = 68.0678408277789
x45 = 34.0339204138894
x46 = -90.0589894029074
x47 = 14.1371669411541
x48 = 84.2994028713261
x49 = 28.2743338823081
x50 = 65.9734457253857
x51 = -85.870199198121
x52 = -61.7846555205993
x53 = 53.9306738866248
x54 = -82.2050077689329
x55 = -25.6563400043166
x56 = -2.0943951023932
x57 = -87.9645943005142
x58 = 26.1799387799149
x59 = -78.0162175641465
x60 = 96.342174710087
x61 = -19.8967534727354
x62 = -68.0678408277789
x63 = -3.66519142918809
x64 = 94.2477796076938
x65 = 38.2227106186758
x66 = 72.2566310325652
x67 = 99.4837673636768
x68 = -83.7758040957278
x69 = 9.94837673636768
x70 = 75.9218224617533
x71 = 70.162235930172
x72 = -17.8023583703422
x73 = -51.8362787842316
x74 = 2.0943951023932
x75 = 48.1710873550435
x76 = 18.3259571459405
x77 = -100.007366139275
x78 = 24.0855436775217
x79 = 6.28318530717959
x80 = -73.8274273593601
x81 = 21.9911485751286
x82 = 87.9645943005142
x83 = -63.8790506229925
x84 = 50.2654824574367
x85 = 10.471975511966
x86 = 62.3082542961976
x87 = 92.1533845053006
x88 = -37.6991118430775
x89 = -59.1666616426078
x90 = -71.733032256967
x91 = -27.7507351067098
x92 = 97.9129710368819
x93 = -93.7241808320955
x94 = -31.9395253114962
x95 = -7.85398163397448
x95 = -7.85398163397448
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