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tg2x+(cos2x)/(1+sin2x)=2 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
             cos(2*x)      
tan(2*x) + ------------ = 2
           1 + sin(2*x)    
$$\tan{\left(2 x \right)} + \frac{\cos{\left(2 x \right)}}{\sin{\left(2 x \right)} + 1} = 2$$
Gráfica
Suma y producto de raíces [src]
suma
  5*pi   pi   pi   5*pi
- ---- - -- + -- + ----
   6     6    6     6  
$$\left(\left(- \frac{5 \pi}{6} - \frac{\pi}{6}\right) + \frac{\pi}{6}\right) + \frac{5 \pi}{6}$$
=
0
$$0$$
producto
-5*pi -pi  pi 5*pi
-----*----*--*----
  6    6   6   6  
$$\frac{5 \pi}{6} \frac{\pi}{6} \cdot - \frac{5 \pi}{6} \left(- \frac{\pi}{6}\right)$$
=
     4
25*pi 
------
 1296 
$$\frac{25 \pi^{4}}{1296}$$
25*pi^4/1296
Respuesta rápida [src]
     -5*pi
x1 = -----
       6  
$$x_{1} = - \frac{5 \pi}{6}$$
     -pi 
x2 = ----
      6  
$$x_{2} = - \frac{\pi}{6}$$
     pi
x3 = --
     6 
$$x_{3} = \frac{\pi}{6}$$
     5*pi
x4 = ----
      6  
$$x_{4} = \frac{5 \pi}{6}$$
x4 = 5*pi/6
Respuesta numérica [src]
x1 = 100.007366139275
x2 = -81.1578102177363
x3 = -53.9306738866248
x4 = -63.3554518473942
x5 = -49.7418836818384
x6 = -78.0162175641465
x7 = -97.9129710368819
x8 = 82.2050077689329
x9 = -5.75958653158129
x10 = -69.6386371545737
x11 = 97.9129710368819
x12 = -25.6563400043166
x13 = -100.007366139275
x14 = 72.7802298081635
x15 = 12.0427718387609
x16 = -66.497044500984
x17 = -37.1755130674792
x18 = 60.2138591938044
x19 = 18.3259571459405
x20 = -3.66519142918809
x21 = 43.4586983746588
x22 = -31.9395253114962
x23 = 31.9395253114962
x24 = -6.80678408277789
x25 = -34.0339204138894
x26 = 78.0162175641465
x27 = -87.4409955249159
x28 = -65.4498469497874
x29 = 40.317105721069
x30 = 94.771378383292
x31 = 84.2994028713261
x32 = 53.9306738866248
x33 = -71.733032256967
x34 = 27.7507351067098
x35 = -16.2315620435473
x36 = -88.4881930761125
x37 = 63.3554518473942
x38 = -47.6474885794452
x39 = -21.4675497995303
x40 = 9.94837673636768
x41 = 90.5825881785057
x42 = 16.2315620435473
x43 = -59.1666616426078
x44 = 34.0339204138894
x45 = -75.9218224617533
x46 = 44.5058959258554
x47 = -15.1843644923507
x48 = -9.94837673636768
x49 = 93.7241808320955
x50 = 0.523598775598299
x51 = -0.523598775598299
x52 = -41.3643032722656
x53 = -12.0427718387609
x54 = -94.7713783832921
x55 = 38.2227106186758
x56 = -60.2138591938044
x57 = 90494.0999854296
x58 = 6.80678408277789
x59 = 47.6474885794452
x60 = -43.4586983746588
x61 = -93.7241808320955
x62 = 62.3082542961976
x63 = -56.025068989018
x64 = 75.9218224617533
x65 = -27.7507351067098
x66 = 56.025068989018
x67 = -38.2227106186758
x68 = 22.5147473507269
x69 = -91.6297857297023
x69 = -91.6297857297023