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sin2x3sinxcosx10cos2x=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
sin(2*x)*3*sin(x)*cos(x)*10*cos(2*x) = 0
10⋅3sin⁡(2x)sin⁡(x)cos⁡(x)cos⁡(2x)=010 \cdot 3 \sin{\left(2 x \right)} \sin{\left(x \right)} \cos{\left(x \right)} \cos{\left(2 x \right)} = 0
Simplificar
Gráfica
0-80-60-40-2020406080-100100-1010
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Respuesta rápida [src] 
x1 = 0
x1=0x_{1} = 0 
     -pi 
x2 = ----
      2
x2=−π2x_{2} = - \frac{\pi}{2} 
     -pi 
x3 = ----
      4
x3=−π4x_{3} = - \frac{\pi}{4} 
     pi
x4 = --
     4
x4=π4x_{4} = \frac{\pi}{4} 
     pi
x5 = --
     2
x5=π2x_{5} = \frac{\pi}{2} 
x5 = pi/2
Suma y producto de raíces [src] 
suma
  pi   pi   pi   pi
- -- - -- + -- + --
  2    4    4    2
((−π2−π4)+π4)+π2\left(\left(- \frac{\pi}{2} - \frac{\pi}{4}\right) + \frac{\pi}{4}\right) + \frac{\pi}{2} 
=
0
00 
producto
  -pi  -pi  pi pi
0*----*----*--*--
   2    4   4  2
π2π4⋅−π4⋅0(−π2)\frac{\pi}{2} \frac{\pi}{4} \cdot - \frac{\pi}{4} \cdot 0 \left(- \frac{\pi}{2}\right) 
=
0
00 
0
Respuesta numérica [src] 
x1 = -23.5619449626207
x2 = -65.9734457662406
x3 = -25.9181393921158
x4 = 73.827427426781
x5 = -84.037603483527
x6 = -55.7632696012188
x7 = -51.8362786954675
x8 = 100.530964843324
x9 = -7.85398152915642
x10 = -72.256631102352
x11 = 95.8185759992737
x12 = 64.4026493330202
x13 = -11.7809724509617
x14 = 76.1836218495525
x15 = 43.9822971689083
x16 = -77.7544181763474
x17 = 14.1371668096466
x18 = 65.9734457517426
x19 = 7.8539817047048
x20 = -8.63937979737193
x21 = 69.9004365423729
x22 = 32.2013246992954
x23 = -59.6902604553434
x24 = 68.329640215578
x25 = 29.8451302793894
x26 = -30.6305283725005
x27 = -3.92699081698724
x28 = 90.3207887907066
x29 = -50.2654825840821
x30 = -95.8185758691733
x31 = -41.6261026600648
x32 = -36.1283154463325
x33 = -18.0641577581413
x34 = -62.0464549083984
x35 = 14.9225651045515
x36 = 13.3517687777566
x37 = 20.4203521833985
x38 = -89.5353906700869
x39 = -80.1106125993813
x40 = 0.0
x41 = -19.6349540849362
x42 = 80.8960108299372
x43 = 87.9645943337222
x44 = -47.9092879672443
x45 = 72.256631027738
x46 = 24.3473430653209
x47 = 47.9092879672443
x48 = -43.9822971751232
x49 = 86.3937979088331
x50 = 50.2654824464602
x51 = 54.1924732744239
x52 = -45.5530935337225
x53 = 94.2477796093544
x54 = -58.1194640226157
x55 = -14.1371668705497
x56 = -87.9645943608829
x57 = -81.6814090348242
x58 = 6.28318528484945
x59 = -73.8274272826535
x60 = 84.037603483527
x61 = 3.92699081698724
x62 = -21.9911485865863
x63 = 10.2101761241668
x64 = -69.9004365423729
x65 = -33.7721210260903
x66 = -67.5442421030672
x67 = 51.8362788534439
x68 = -29.8451301087335
x69 = 46.3384916404494
x70 = -37.69911187557
x71 = 21.9911485850651
x72 = -63.6172512351933
x73 = -91.8915851175014
x74 = 2.35619449019234
x75 = 25.9181393921158
x76 = 40.0553063332699
x77 = 42.411500757839
x78 = 91.8915851175014
x79 = -40.0553063332699
x80 = -15.7079632955062
x81 = 98.174770424681
x82 = 18.0641577581413
x83 = -94.2477796364233
x84 = -1.57079639015459
x85 = 62.0464549083984
x86 = 56.54866787303
x87 = 28.2743338655019
x88 = -99.7455667514759
x88 = -99.7455667514759
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