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Abs(cot(x))=cot(x)+1/sin(x) la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
                      1   
|cot(x)| = cot(x) + ------
                    sin(x)
$$\left|{\cot{\left(x \right)}}\right| = \cot{\left(x \right)} + \frac{1}{\sin{\left(x \right)}}$$
Gráfica
Respuesta rápida [src]
     -4*pi
x1 = -----
       3  
$$x_{1} = - \frac{4 \pi}{3}$$
     2*pi
x2 = ----
      3  
$$x_{2} = \frac{2 \pi}{3}$$
x2 = 2*pi/3
Suma y producto de raíces [src]
suma
  4*pi   2*pi
- ---- + ----
   3      3  
$$- \frac{4 \pi}{3} + \frac{2 \pi}{3}$$
=
-2*pi
-----
  3  
$$- \frac{2 \pi}{3}$$
producto
-4*pi 2*pi
-----*----
  3    3  
$$- \frac{4 \pi}{3} \frac{2 \pi}{3}$$
=
     2
-8*pi 
------
  9   
$$- \frac{8 \pi^{2}}{9}$$
-8*pi^2/9
Respuesta numérica [src]
x1 = -29.3215314335047
x2 = 96.342174710087
x3 = -92.1533845053006
x4 = -41.8879020478639
x5 = -35.6047167406843
x6 = -10.471975511966
x7 = -67.0206432765823
x8 = 33.5103216382911
x9 = 71.2094334813686
x10 = -60.7374579694027
x11 = -79.5870138909414
x12 = -48.1710873550435
x13 = -85.870199198121
x14 = 39.7935069454707
x15 = 1032.53678547985
x16 = -2944.71951396483
x17 = 102.625360017267
x18 = 20.943951023932
x19 = 2.0943951023932
x20 = 64.9262481741891
x21 = -23.0383461263252
x22 = 14.6607657167524
x23 = 83.7758040957278
x24 = 8.37758040957278
x25 = 90.0589894029074
x26 = 27.2271363311115
x27 = -98.4365698124802
x28 = 58.6430628670095
x29 = 77.4926187885482
x30 = -73.3038285837618
x31 = -406.31264986428
x32 = -54.4542726622231
x33 = 46.0766922526503
x34 = 52.3598775598299
x35 = -4.18879020478639
x36 = -16.7551608191456
x37 = 121.474915938805
x37 = 121.474915938805