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(arctan(sqrt(2)tan(x)+1)+arctan(sqrt(2)tan(x)-1))/sqrt(2)-1/(sqrt(2))arctan(tan(2x)/sqrt(2))=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
                                                      /tan(2*x)\    
                                                  atan|--------|    
    /  ___           \       /  ___           \       |   ___  |    
atan\\/ 2 *tan(x) + 1/ + atan\\/ 2 *tan(x) - 1/       \ \/ 2   /    
----------------------------------------------- - -------------- = 0
                       ___                              ___         
                     \/ 2                             \/ 2          
$$\frac{\operatorname{atan}{\left(\sqrt{2} \tan{\left(x \right)} - 1 \right)} + \operatorname{atan}{\left(\sqrt{2} \tan{\left(x \right)} + 1 \right)}}{\sqrt{2}} - \frac{\operatorname{atan}{\left(\frac{\tan{\left(2 x \right)}}{\sqrt{2}} \right)}}{\sqrt{2}} = 0$$
Gráfica
Respuesta numérica [src]
x1 = 43.9484947705721
x2 = -6.0
x3 = 82.0
x4 = 76.0
x5 = 78.0
x6 = 21.9309929358949
x7 = -71.75
x8 = 66.25
x9 = 60.0
x10 = 28.0
x11 = -88.0357142857143
x12 = -2.14844635898598e+25
x13 = -100.0
x14 = -25.75
x15 = 38.25
x16 = 18.25
x17 = -78.0
x18 = -69.75
x19 = 98.0
x20 = -47.75
x21 = 72.2524621297772
x22 = -22.3075757575758
x23 = 100.0
x24 = -9.75
x25 = 12.0
x26 = 87.8375497117016
x27 = 34.25
x28 = -28.0
x29 = -76.0
x30 = -43.75
x31 = 62.25
x32 = 32.0
x33 = -56.0
x34 = 40.25
x35 = -91.75
x36 = 6.0
x37 = -60.0
x38 = -12.0
x39 = -97.75
x40 = 56.0
x41 = -34.0
x42 = -16.0
x43 = -54.0
x44 = 16.0
x45 = 10.0
x46 = -94.0
x47 = -65.75
x48 = -82.0
x49 = 84.25
x50 = 94.0
x51 = -49.75
x52 = 2.14844635898598e+25
x53 = -32.0
x54 = -1.71875708718879e+26
x55 = 50.1666666666667
x56 = 54.0
x57 = 0.0
x58 = 1.71875708718879e+26
x59 = -3.75
x59 = -3.75