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2*cos(4x)+5*sin(4x)+2=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
2*cos(4*x) + 5*sin(4*x) + 2 = 0
$$\left(5 \sin{\left(4 x \right)} + 2 \cos{\left(4 x \right)}\right) + 2 = 0$$
Gráfica
Respuesta rápida [src]
     -atan(2/5) 
x1 = -----------
          2     
$$x_{1} = - \frac{\operatorname{atan}{\left(\frac{2}{5} \right)}}{2}$$
x1 = -atan(2/5)/2
Suma y producto de raíces [src]
suma
-atan(2/5) 
-----------
     2     
$$- \frac{\operatorname{atan}{\left(\frac{2}{5} \right)}}{2}$$
=
-atan(2/5) 
-----------
     2     
$$- \frac{\operatorname{atan}{\left(\frac{2}{5} \right)}}{2}$$
producto
-atan(2/5) 
-----------
     2     
$$- \frac{\operatorname{atan}{\left(\frac{2}{5} \right)}}{2}$$
=
-atan(2/5) 
-----------
     2     
$$- \frac{\operatorname{atan}{\left(\frac{2}{5} \right)}}{2}$$
-atan(2/5)/2
Respuesta numérica [src]
x1 = -5.49778714378214
x2 = -50.4557356459929
x3 = 28.084080693752
x4 = -40.0553063332699
x5 = -22.1814017636847
x6 = -15.8982164565051
x7 = 84.037603483527
x8 = 56.3584145760601
x9 = 54.1924732744239
x10 = 86.2035447851631
x11 = -67.7344952407367
x12 = 42.221247634906
x13 = 68.329640215578
x14 = 78.3495631511886
x15 = 12.376117425803
x16 = -28.4645870708643
x17 = -30.0353833976592
x18 = -47.9092879672443
x19 = -18.0641577581413
x20 = 90.3207887907066
x21 = -30.6305283725005
x22 = -37.8893650316337
x23 = 20.2300990597775
x24 = -84.037603483527
x25 = -88.1548474890704
x26 = -69.9004365423729
x27 = 188.305306026831
x28 = -19.6349540849362
x29 = -1.76104951535108
x30 = -3.92699081698724
x31 = -23.7521980904796
x32 = -55.7632696012188
x33 = 62.0464549083984
x34 = -70.8760878943265
x35 = 21.8008953865724
x36 = 94.0575264191376
x37 = 13.9469137525979
x38 = 25.9181393921158
x39 = -77.7544181763474
x40 = 47.9092879672443
x41 = -44.1725503388133
x42 = -59.8805136067623
x43 = -48.884939319198
x44 = 91.8915851175014
x45 = -45.7433466656082
x46 = 65.7831925368295
x47 = 100.340711726317
x48 = 43.7920439617009
x49 = 572.55526111674
x50 = 79.9203594779835
x51 = 24.3473430653209
x52 = 38.484510006475
x53 = -0.190253188556182
x54 = 40.0553063332699
x55 = 98.174770424681
x56 = 34.3672660009315
x57 = 10.2101761241668
x58 = 72.0663778440091
x59 = -9.61503114932556
x60 = 50.0752292688805
x61 = -66.1636989139418
x62 = -79.3252145031423
x63 = 57.929210902855
x64 = 60.4756585816035
x65 = -99.7455667514759
x66 = -62.0464549083984
x67 = -33.7721210260903
x68 = 76.1836218495525
x69 = 3.92699081698724
x70 = 18.0641577581413
x71 = -96.0088291230449
x72 = -41.6261026600648
x73 = -74.0176805479163
x74 = -85.6083998103219
x75 = 87.774341111958
x76 = 69.9004365423729
x77 = -8.04423482253067
x78 = -63.6172512351933
x79 = 64.2123962100346
x80 = -11.7809724509617
x81 = -52.0265319727878
x82 = 6.0929321186234
x83 = 82.4668071567321
x84 = 46.3384916404494
x85 = -92.8672364694551
x86 = -89.7256438158653
x87 = -91.8915851175014
x88 = 32.2013246992954
x89 = -81.8716621818908
x90 = 35.9380623277264
x91 = -25.9181393921158
x92 = 16.4933614313464
x93 = 2.35619449019234
x93 = 2.35619449019234