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cos(3*x)+cos(x)=0

cos(3*x)+cos(x)=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
cos(3*x) + cos(x) = 0
cos⁡(x)+cos⁡(3x)=0\cos{\left(x \right)} + \cos{\left(3 x \right)} = 0
Simplificar
Gráfica
0-80-60-40-2020406080-1001005-5
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Respuesta rápida [src] 
     -3*pi
x1 = -----
       4
x1=−3π4x_{1} = - \frac{3 \pi}{4} 
     -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} 
     3*pi
x6 = ----
      4
x6=3π4x_{6} = \frac{3 \pi}{4} 
x6 = 3*pi/4
Suma y producto de raíces [src] 
suma
  3*pi   pi   pi   pi   pi   3*pi
- ---- - -- - -- + -- + -- + ----
   4     2    4    4    2     4
((((−3π4−π2)−π4)+π4)+π2)+3π4\left(\left(\left(\left(- \frac{3 \pi}{4} - \frac{\pi}{2}\right) - \frac{\pi}{4}\right) + \frac{\pi}{4}\right) + \frac{\pi}{2}\right) + \frac{3 \pi}{4} 
=
0
00 
producto
-3*pi -pi  -pi  pi pi 3*pi
-----*----*----*--*--*----
  4    2    4   4  2   4
3π4π2π4⋅−π4⋅−3π4(−π2)\frac{3 \pi}{4} \frac{\pi}{2} \frac{\pi}{4} \cdot - \frac{\pi}{4} \cdot - \frac{3 \pi}{4} \left(- \frac{\pi}{2}\right) 
=
     6
-9*pi 
------
 1024
−9π61024- \frac{9 \pi^{6}}{1024} 
-9*pi^6/1024
Respuesta numérica [src] 
x1 = 4.71238898038469
x2 = 40.0553063332699
x3 = -3.92699081698724
x4 = -80.1106126665397
x5 = -71.4712328691678
x6 = 99.7455667514759
x7 = -54.1924732744239
x8 = -62.0464549083984
x9 = 25.9181393921158
x10 = -23.5619449019235
x11 = 38.484510006475
x12 = 26.7035375555132
x13 = -73.8274273593601
x14 = -36.1283155162826
x15 = -91.8915851175014
x16 = 86.3937979737193
x17 = 18.0641577581413
x18 = -40.0553063332699
x19 = 48.6946861306418
x20 = -33.7721210260903
x21 = 62.0464549083984
x22 = 70.6858347057703
x23 = 2.35619449019234
x24 = 42.4115008234622
x25 = -55.7632696012188
x26 = -67.5442420521806
x27 = 89.5353906273091
x28 = 1.5707963267949
x29 = 14.1371669411541
x30 = -7.85398163397448
x31 = 80.1106126665397
x32 = -32.2013246992954
x33 = -49.4800842940392
x34 = 77.7544181763474
x35 = -76.1836218495525
x36 = -29.845130209103
x37 = -47.9092879672443
x38 = -41.6261026600648
x39 = -84.037603483527
x40 = 98.174770424681
x41 = -69.9004365423729
x42 = 68.329640215578
x43 = -25.9181393921158
x44 = 76.1836218495525
x45 = 54.1924732744239
x46 = -10.2101761241668
x47 = 82.4668071567321
x48 = 24.3473430653209
x49 = 55.7632696012188
x50 = 23.5619449019235
x51 = 47.9092879672443
x52 = 51.8362787842316
x53 = -32.9867228626928
x54 = -93.4623814442964
x55 = 95.8185759344887
x56 = -95.8185759344887
x57 = -17.2787595947439
x58 = -5.49778714378214
x59 = -85.6083998103219
x60 = -98.174770424681
x61 = 58.1194640914112
x62 = 29.845130209103
x63 = -60.4756585816035
x64 = 92.6769832808989
x65 = -63.6172512351933
x66 = 69.9004365423729
x67 = 10.2101761241668
x68 = -77.7544181763474
x69 = 32.2013246992954
x70 = -58.1194640914112
x71 = 46.3384916404494
x72 = 36.1283155162826
x73 = -19.6349540849362
x74 = -45.553093477052
x75 = 67.5442420521806
x76 = -11.7809724509617
x77 = 16.4933614313464
x78 = 62516.1230101101
x79 = -14.1371669411541
x80 = -82.4668071567321
x81 = 33.7721210260903
x82 = -27.4889357189107
x83 = 84.037603483527
x84 = -18.0641577581413
x85 = 20.4203522483337
x86 = 91.8915851175014
x87 = -99.7455667514759
x88 = 45.553093477052
x89 = 60.4756585816035
x90 = 90.3207887907066
x91 = -51.8362787842316
x92 = 64.4026493985908
x93 = 3.92699081698724
x94 = 73.8274273593601
x95 = -1.5707963267949
x96 = 11.7809724509617
x97 = 7.85398163397448
x98 = -89.5353906273091
x98 = -89.5353906273091
Gráfico
cos(3*x)+cos(x)=0 la ecuación
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