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4cos^2(2x)-tg(4x)=ctg(2x) la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
     2                           
4*cos (2*x) - tan(4*x) = cot(2*x)
$$4 \cos^{2}{\left(2 x \right)} - \tan{\left(4 x \right)} = \cot{\left(2 x \right)}$$
Gráfica
Respuesta rápida [src]
     -3*pi
x1 = -----
       4  
$$x_{1} = - \frac{3 \pi}{4}$$
     -pi 
x2 = ----
      4  
$$x_{2} = - \frac{\pi}{4}$$
     pi
x3 = --
     4 
$$x_{3} = \frac{\pi}{4}$$
     3*pi
x4 = ----
      4  
$$x_{4} = \frac{3 \pi}{4}$$
x4 = 3*pi/4
Suma y producto de raíces [src]
suma
  3*pi   pi   pi   3*pi
- ---- - -- + -- + ----
   4     4    4     4  
$$\left(\left(- \frac{3 \pi}{4} - \frac{\pi}{4}\right) + \frac{\pi}{4}\right) + \frac{3 \pi}{4}$$
=
0
$$0$$
producto
-3*pi -pi  pi 3*pi
-----*----*--*----
  4    4   4   4  
$$\frac{3 \pi}{4} \frac{\pi}{4} \cdot - \frac{3 \pi}{4} \left(- \frac{\pi}{4}\right)$$
=
    4
9*pi 
-----
 256 
$$\frac{9 \pi^{4}}{256}$$
9*pi^4/256
Respuesta numérica [src]
x1 = 99.9419164380021
x2 = 32.2013246992954
x3 = -67.3478925330895
x4 = -27.4889357189107
x5 = -0.58904864136369
x6 = 10.2101761241668
x7 = -41.6261026600648
x8 = -75.9872723220841
x9 = -91.6952355965457
x10 = -60.2793090687327
x11 = -19.6349540849362
x12 = 36.3246649633794
x13 = -3.92699081698724
x14 = 82.4668071567321
x15 = 11.9773220268043
x16 = 96.0149254585556
x17 = -77.7544181763474
x18 = 16.4933614313464
x19 = -21.7947990018784
x20 = -38.2881603571662
x21 = -5.49778714378214
x22 = -84.037603483527
x23 = -55.7632696012188
x24 = -65.7770961652584
x25 = 60.4756585816035
x26 = 3.92699081698724
x27 = -3.73064128949766
x28 = -13.9408174956974
x29 = 38.484510006475
x30 = 90.3207887907066
x31 = -80.6996613173521
x32 = 98.174770424681
x33 = 18.260507291171
x34 = -18.0641577581413
x35 = -43.7859475837541
x36 = 76.1836218495525
x37 = 52.032628287788
x38 = -10.0138265640244
x39 = 80.306962148443
x40 = 24.3473430653209
x41 = -40.0553063332699
x42 = -82.4668071567321
x43 = 8.05033110699184
x44 = 46.3384916404494
x45 = -33.7721210260903
x46 = -53.9961237380468
x47 = 92.0879347759598
x48 = 88.1609439343936
x49 = 40.2516558728749
x50 = -47.7129384463766
x51 = 66.1697953387757
x52 = 30.0414796996842
x53 = 55.9596192198114
x54 = -25.7217898687049
x55 = 25.9181393921158
x56 = -69.7040870224378
x57 = 84.2339530272694
x58 = -99.7455667514759
x59 = -97.9784209044788
x60 = 54.1924732744239
x61 = 33.9684706210648
x62 = 62.2428044538146
x63 = 68.329640215578
x64 = 44.1786467498755
x65 = 63.6172512351933
x66 = 77.9507678246297
x67 = -85.6083998103219
x68 = 74.0237768736457
x69 = 2.35619449019234
x70 = -11.7809724509617
x71 = -62.0464549083984
x72 = -32.0049751521416
x73 = 69.9004365423729
x74 = -63.6172512351933
x75 = -87.7682447466075
x76 = 22.1874981643287
x77 = 47.9092879672443
x78 = 58.3158135578075
x78 = 58.3158135578075