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sinx*sin5x=cos4x la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src] 
sin(x)*sin(5*x) = cos(4*x)
$$\sin{\left(x \right)} \sin{\left(5 x \right)} = \cos{\left(4 x \right)}$$
Simplificar
Gráfica
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Suma y producto de raíces [src] 
suma
  9*pi   7*pi   pi   3*pi   pi   pi   3*pi   pi   7*pi   9*pi
- ---- - ---- - -- - ---- - -- + -- + ---- + -- + ---- + ----
   10     10    2     10    10   10    10    2     10     10
$$\left(\left(\left(\left(\left(\left(\left(\left(- \frac{9 \pi}{10} - \frac{7 \pi}{10}\right) - \frac{\pi}{2}\right) - \frac{3 \pi}{10}\right) - \frac{\pi}{10}\right) + \frac{\pi}{10}\right) + \frac{3 \pi}{10}\right) + \frac{\pi}{2}\right) + \frac{7 \pi}{10}\right) + \frac{9 \pi}{10}$$ 
=
0
$$0$$ 
producto
-9*pi -7*pi -pi  -3*pi -pi  pi 3*pi pi 7*pi 9*pi
-----*-----*----*-----*----*--*----*--*----*----
  10    10   2     10   10  10  10  2   10   10
$$\frac{9 \pi}{10} \frac{7 \pi}{10} \frac{\pi}{2} \frac{3 \pi}{10} \frac{\pi}{10} \cdot - \frac{\pi}{10} \cdot - \frac{3 \pi}{10} \cdot - \frac{\pi}{2} \cdot - \frac{9 \pi}{10} \left(- \frac{7 \pi}{10}\right)$$ 
=
         10
-35721*pi  
-----------
 400000000
$$- \frac{35721 \pi^{10}}{400000000}$$ 
-35721*pi^10/400000000
Respuesta rápida [src] 
     -9*pi
x1 = -----
       10
$$x_{1} = - \frac{9 \pi}{10}$$ 
     -7*pi
x2 = -----
       10
$$x_{2} = - \frac{7 \pi}{10}$$ 
     -pi 
x3 = ----
      2
$$x_{3} = - \frac{\pi}{2}$$ 
     -3*pi
x4 = -----
       10
$$x_{4} = - \frac{3 \pi}{10}$$ 
     -pi 
x5 = ----
      10
$$x_{5} = - \frac{\pi}{10}$$ 
     pi
x6 = --
     10
$$x_{6} = \frac{\pi}{10}$$ 
     3*pi
x7 = ----
      10
$$x_{7} = \frac{3 \pi}{10}$$ 
     pi
x8 = --
     2
$$x_{8} = \frac{\pi}{2}$$ 
     7*pi
x9 = ----
      10
$$x_{9} = \frac{7 \pi}{10}$$ 
      9*pi
x10 = ----
       10
$$x_{10} = \frac{9 \pi}{10}$$ 
x10 = 9*pi/10
Respuesta numérica [src] 
x1 = -5.96902604182061
x2 = 46.18141200777
x3 = -31.7300858012569
x4 = 90.1637091580271
x5 = 61.8893752757189
x6 = 38.0132711084365
x7 = -7.85398154718208
x8 = -49.9513231920777
x9 = 32.3584043319749
x10 = 78.2256570743859
x11 = 24.1902634326414
x12 = -83.8805238508475
x13 = -93.9336203423348
x14 = -61.8893752757189
x15 = -63.7743308678728
x16 = -17.9070781254618
x17 = 17.9070781254618
x18 = 39.2699081498428
x19 = -85.7654794430014
x20 = -92.0486647501809
x21 = -71.9424717672063
x22 = -19.7920337176157
x23 = 58.7477826221291
x24 = -60.0044196835651
x25 = 34.2433599241287
x26 = 64.4026493525391
x27 = 56.2345084992573
x28 = 16.0221225333079
x29 = 68.1725605828985
x30 = -53.7212343763855
x31 = 27.9601746169492
x32 = 92.0486647501809
x33 = -80.1106126089377
x34 = 98.3318500573605
x35 = -21.6769893097696
x36 = 66.2876049907446
x37 = -58.1194640341413
x38 = -41.7831822927443
x39 = 60.0044196835651
x40 = 83.8805238508475
x41 = 39.8982267005904
x42 = 71.9424717672063
x43 = -75.712382951514
x44 = 20.4203522181614
x45 = 4.08407044966673
x46 = -16.0221225333079
x47 = -77.5973385436679
x48 = 42.4115007836476
x49 = -11.6238928182822
x50 = -38.0132711084365
x51 = 29.8451302545263
x52 = 10.3672557568463
x53 = -14.1371668872424
x54 = 0.314159265358979
x55 = -95.8185758695698
x56 = -87.6504350351552
x57 = -4.08407044966673
x58 = 93.9336203423348
x59 = 7.85398168446658
x60 = 12.2522113490002
x61 = -33.6150413934108
x62 = 81.9955682586936
x63 = -81.9955682586936
x64 = -43.6681378848981
x65 = 95.8185759450348
x66 = -9.73893722612836
x67 = -29.8451301142458
x68 = 5.96902604182061
x69 = 88.2787535658732
x70 = -89.5353904622891
x71 = -51.8362786978016
x72 = 86.3937979237947
x73 = 2.19911485751286
x74 = -67.5442419493278
x75 = -48.0663675999238
x76 = -23.5619448943193
x77 = 49.9513231920777
x78 = -45.5530934328517
x79 = -55.6061899685393
x80 = -26.0752190247953
x81 = 73.8274273864408
x82 = -70.0575161750524
x83 = -1.57079634217526
x84 = 70.0575161750524
x85 = 26.0752190247953
x86 = -97.7035315266426
x87 = 44.2964564156161
x88 = -73.827427283678
x89 = 100.216805649514
x90 = 76.340701482232
x91 = 48.0663675999238
x92 = -36.1283154601932
x93 = -39.8982267005904
x94 = 54.3495529071034
x95 = 22.3053078404875
x96 = -65.6592864600267
x97 = 51.8362788222469
x98 = -27.9601746169492
x98 = -27.9601746169492
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