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cosx+cos3x+2sin^2x=1 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
                         2       
cos(x) + cos(3*x) + 2*sin (x) = 1
(cos⁡(x)+cos⁡(3x))+2sin⁡2(x)=1\left(\cos{\left(x \right)} + \cos{\left(3 x \right)}\right) + 2 \sin^{2}{\left(x \right)} = 1
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 = ----
      3
x2=−π3x_{2} = - \frac{\pi}{3} 
     -pi 
x3 = ----
      4
x3=−π4x_{3} = - \frac{\pi}{4} 
     pi
x4 = --
     4
x4=π4x_{4} = \frac{\pi}{4} 
     pi
x5 = --
     3
x5=π3x_{5} = \frac{\pi}{3} 
     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     3    4    4    3     4
((((−3π4−π3)−π4)+π4)+π3)+3π4\left(\left(\left(\left(- \frac{3 \pi}{4} - \frac{\pi}{3}\right) - \frac{\pi}{4}\right) + \frac{\pi}{4}\right) + \frac{\pi}{3}\right) + \frac{3 \pi}{4} 
=
0
00 
producto
-3*pi -pi  -pi  pi pi 3*pi
-----*----*----*--*--*----
  4    3    4   4  3   4
3π4π3π4⋅−π4⋅−3π4(−π3)\frac{3 \pi}{4} \frac{\pi}{3} \frac{\pi}{4} \cdot - \frac{\pi}{4} \cdot - \frac{3 \pi}{4} \left(- \frac{\pi}{3}\right) 
=
   6 
-pi  
-----
 256
−π6256- \frac{\pi^{6}}{256} 
-pi^6/256
Respuesta numérica [src] 
x1 = -24.0855436775217
x2 = -423.329610071225
x3 = -51.3126800086333
x4 = 95.0331777710912
x5 = -41.6261026600648
x6 = 18.0641577581413
x7 = 40.0553063332699
x8 = -57.5958653158129
x9 = -47.9092879672443
x10 = -74.3510261349584
x11 = 82.4668071567321
x12 = 89.0117918517108
x13 = -95.2949771588904
x14 = -16.4933614313464
x15 = -3.92699081698724
x16 = -84.037603483527
x17 = -49.4800842940392
x18 = -82.7286065445312
x19 = -63.6172512351933
x20 = -30.3687289847013
x21 = 55.7632696012188
x22 = 91.8915851175014
x23 = -7.33038285837618
x24 = 93.4623814442964
x25 = 60.4756585816035
x26 = -10.2101761241668
x27 = -44.7676953136546
x28 = 32.2013246992954
x29 = 80.634211442138
x30 = -85.6083998103219
x31 = -38.7463093942741
x32 = 33.7721210260903
x33 = -32.2013246992954
x34 = 3.92699081698724
x35 = 2.35619449019234
x36 = 16.4933614313464
x37 = 76.1836218495525
x38 = 7.06858347057703
x39 = -13.6135681655558
x40 = 19.8967534727354
x41 = -98.174770424681
x42 = 46.3384916404494
x43 = 82.7286065445312
x44 = 47.9092879672443
x45 = 99.7455667514759
x46 = -91.8915851175014
x47 = 63.8790506229925
x48 = 49.2182849062401
x49 = 74.3510261349584
x50 = -33.7721210260903
x51 = 57.5958653158129
x52 = -60.4756585816035
x53 = -71.4712328691678
x54 = 84.037603483527
x55 = -76.1836218495525
x56 = -61.7846555205993
x57 = 45.0294947014537
x58 = 26.1799387799149
x59 = -11.7809724509617
x60 = -27.4889357189107
x61 = 62.0464549083984
x62 = -25.9181393921158
x63 = -19.8967534727354
x64 = -40.0553063332699
x65 = -5.49778714378214
x66 = -68.0678408277789
x67 = 54.1924732744239
x68 = 101.316363078271
x69 = 36.6519142918809
x70 = 5.23598775598299
x71 = 90.3207887907066
x72 = -55.7632696012188
x73 = 11.7809724509617
x74 = 70.162235930172
x75 = -17.8023583703422
x76 = -54.1924732744239
x77 = -99.7455667514759
x78 = 13.6135681655558
x79 = 24.0855436775217
x80 = 38.484510006475
x81 = -77.7544181763474
x82 = 10.2101761241668
x83 = 98.174770424681
x84 = -63.8790506229925
x85 = -69.9004365423729
x86 = 17.8023583703422
x87 = 30.3687289847013
x88 = -93.4623814442964
x89 = 77.7544181763474
x89 = 77.7544181763474
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