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sqrt(2+cos(2*x)-sqrt(3)*tan(x))=sqrt(3)*cos(x)-sin(x) la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
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  /                  ___             ___                
\/  2 + cos(2*x) - \/ 3 *tan(x)  = \/ 3 *cos(x) - sin(x)
$$\sqrt{\left(\cos{\left(2 x \right)} + 2\right) - \sqrt{3} \tan{\left(x \right)}} = - \sin{\left(x \right)} + \sqrt{3} \cos{\left(x \right)}$$
Gráfica
Respuesta rápida [src]
x1 = 0
$$x_{1} = 0$$
     -pi 
x2 = ----
      4  
$$x_{2} = - \frac{\pi}{4}$$
     pi
x3 = --
     4 
$$x_{3} = \frac{\pi}{4}$$
x3 = pi/4
Suma y producto de raíces [src]
suma
  pi   pi
- -- + --
  4    4 
$$- \frac{\pi}{4} + \frac{\pi}{4}$$
=
0
$$0$$
producto
  -pi  pi
0*----*--
   4   4 
$$\frac{\pi}{4} \cdot 0 \left(- \frac{\pi}{4}\right)$$
=
0
$$0$$
0
Respuesta numérica [src]
x1 = 31.4159265358979
x2 = -57.3340659280137
x3 = -13.3517687777566
x4 = -12.5663706143592
x5 = 75.398223686155
x6 = 12.5663706143592
x7 = -50.2654824574367
x8 = -69.9004365423729
x9 = -55.7632696012188
x10 = -125.663706143592
x11 = -63.6172512351933
x12 = -18.0641577581413
x13 = -6.28318530717959
x14 = 6.28318530717959
x15 = 25.9181393921158
x16 = 2802.3006470021
x17 = -5.49778714378214
x18 = 69.9004365423729
x19 = 94.2477796076938
x20 = -32.2013246992954
x21 = -76.1836218495525
x22 = -37.6991118430775
x23 = 100.530964914873
x24 = -43.9822971502571
x25 = 25.1327412287183
x26 = 24.3473430653209
x27 = 87.9645943005142
x28 = 74.6128255227576
x29 = 43.9822971502571
x30 = -24.3473430653209
x31 = -7.06858347057703
x32 = -31.4159265358979
x33 = -94.2477796076938
x34 = 32.2013246992954
x35 = 62.0464549083984
x36 = 18.0641577581413
x37 = 76.1836218495525
x38 = -18.8495559215388
x39 = -1539.380400259
x40 = 101.316363078271
x41 = -25.9181393921158
x42 = 81.6814089933346
x43 = 138.230076757951
x44 = -75.398223686155
x45 = 30.6305283725005
x46 = 245.044226980004
x47 = 50.2654824574367
x48 = -81.6814089933346
x49 = -51.0508806208341
x50 = -95.0331777710912
x51 = -87.9645943005142
x52 = 36.9137136796801
x53 = 68.329640215578
x54 = -19.6349540849362
x55 = 63.6172512351933
x56 = 56.5486677646163
x57 = 80.8960108299372
x58 = 19.6349540849362
x59 = -11.7809724509617
x60 = 37.6991118430775
x61 = 69.1150383789755
x62 = 0.0
x63 = -62.0464549083984
x64 = -68.329640215578
x65 = -99.7455667514759
x65 = -99.7455667514759