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cos2x-sin4x=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src] 
cos(2*x) - sin(4*x) = 0
−sin⁡(4x)+cos⁡(2x)=0- \sin{\left(4 x \right)} + \cos{\left(2 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] 
     -11*pi
x1 = ------
       12
x1=−11π12x_{1} = - \frac{11 \pi}{12} 
     -3*pi
x2 = -----
       4
x2=−3π4x_{2} = - \frac{3 \pi}{4} 
     -7*pi
x3 = -----
       12
x3=−7π12x_{3} = - \frac{7 \pi}{12} 
     -pi 
x4 = ----
      4
x4=−π4x_{4} = - \frac{\pi}{4} 
     pi
x5 = --
     12
x5=π12x_{5} = \frac{\pi}{12} 
     pi
x6 = --
     4
x6=π4x_{6} = \frac{\pi}{4} 
     5*pi
x7 = ----
      12
x7=5π12x_{7} = \frac{5 \pi}{12} 
     3*pi
x8 = ----
      4
x8=3π4x_{8} = \frac{3 \pi}{4} 
x8 = 3*pi/4
Suma y producto de raíces [src] 
suma
  11*pi   3*pi   7*pi   pi   pi   pi   5*pi   3*pi
- ----- - ---- - ---- - -- + -- + -- + ---- + ----
    12     4      12    4    12   4     12     4
((((((−11π12−3π4)−7π12)−π4)+π12)+π4)+5π12)+3π4\left(\left(\left(\left(\left(\left(- \frac{11 \pi}{12} - \frac{3 \pi}{4}\right) - \frac{7 \pi}{12}\right) - \frac{\pi}{4}\right) + \frac{\pi}{12}\right) + \frac{\pi}{4}\right) + \frac{5 \pi}{12}\right) + \frac{3 \pi}{4} 
=
-pi
−π- \pi 
producto
-11*pi -3*pi -7*pi -pi  pi pi 5*pi 3*pi
------*-----*-----*----*--*--*----*----
  12     4     12   4   12 4   12   4
3π45π12π4π12⋅−π4⋅−7π12⋅−11π12(−3π4)\frac{3 \pi}{4} \frac{5 \pi}{12} \frac{\pi}{4} \frac{\pi}{12} \cdot - \frac{\pi}{4} \cdot - \frac{7 \pi}{12} \cdot - \frac{11 \pi}{12} \left(- \frac{3 \pi}{4}\right) 
=
      8
385*pi 
-------
 589824
385π8589824\frac{385 \pi^{8}}{589824} 
385*pi^8/589824
Respuesta numérica [src] 
x1 = -85.6083998103219
x2 = -55.7632696012188
x3 = -1.83259571459405
x4 = 0.261799387799149
x5 = 32.2013246992954
x6 = 55.7632696012188
x7 = 84.037603483527
x8 = -32.2013246992954
x9 = 24.3473430653209
x10 = 15.9697626557481
x11 = 46.3384916404494
x12 = -74.0892267471593
x13 = 13.8753675533549
x14 = -25.9181393921158
x15 = -52.0980781720307
x16 = 72.5184304203644
x17 = -76.1836218495525
x18 = -19.6349540849362
x19 = 68.329640215578
x20 = -67.8060414399797
x21 = 25.9181393921158
x22 = 3.92699081698724
x23 = 81.9432083811338
x24 = 6.54498469497874
x25 = -91.8915851175014
x26 = 44.2440965380563
x27 = 98.174770424681
x28 = 50.5272818452358
x29 = 88.2263936883134
x30 = -40.0553063332699
x31 = -80.3724120543389
x32 = -59.4284610304069
x33 = 42.1497014356631
x34 = 28.5361332701073
x35 = 94.5095789954929
x36 = 77.7544181763474
x37 = -47.9092879672443
x38 = 79.8488132787406
x39 = -65.7116463375865
x40 = 33.7721210260903
x41 = -98.174770424681
x42 = 59.9520598060052
x43 = -77.7544181763474
x44 = 20.1585528605345
x45 = -28.012534494509
x46 = -23.8237442897226
x47 = -8.11578102177363
x48 = 40.0553063332699
x49 = -69.9004365423729
x50 = 54.1924732744239
x51 = -54.1924732744239
x52 = 69.9004365423729
x53 = 90.3207887907066
x54 = -33.7721210260903
x55 = 35.8665161284835
x56 = 62.0464549083984
x57 = -30.1069295969022
x58 = 27.4889357189107
x59 = -21.7293491873294
x60 = -89.7971900151083
x61 = 85.6083998103219
x62 = -87.7027949127151
x63 = -62.0464549083984
x64 = 1770.02566091005
x65 = -3.92699081698724
x66 = 10.2101761241668
x67 = -71.9948316447661
x68 = 57.857664703612
x69 = 99.7455667514759
x70 = -15.4461638801498
x71 = -63.6172512351933
x72 = 37.9609112308767
x73 = -43.720497762458
x74 = -45.8148928648512
x75 = 7.06858347057703
x76 = 71.4712328691678
x77 = -96.0803753222878
x78 = 2.35619449019234
x79 = -6.02138591938044
x80 = 11.7809724509617
x81 = 66.2352451131848
x82 = -10.2101761241668
x83 = 18.0641577581413
x84 = -18.0641577581413
x85 = -37.4373124552784
x86 = 86.1319985859202
x87 = -50.0036830696375
x88 = -84.037603483527
x89 = -41.6261026600648
x90 = 360.497756999429
x91 = 64.1408500107916
x92 = 47.9092879672443
x93 = 91.8915851175014
x94 = 22.2529479629277
x95 = -11.7809724509617
x96 = -93.9859802198946
x97 = 76.1836218495525
x98 = -99.7455667514759
x98 = -99.7455667514759
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