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cosx⋅ctgx−(−√3/3)cosx=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
                   ___            
                -\/ 3             
cos(x)*cot(x) - -------*cos(x) = 0
                   3              
$$\cos{\left(x \right)} \cot{\left(x \right)} - \frac{\left(-1\right) \sqrt{3}}{3} \cos{\left(x \right)} = 0$$
Gráfica
Respuesta rápida [src]
     -pi 
x1 = ----
      2  
$$x_{1} = - \frac{\pi}{2}$$
     -pi 
x2 = ----
      3  
$$x_{2} = - \frac{\pi}{3}$$
     pi
x3 = --
     2 
$$x_{3} = \frac{\pi}{2}$$
x3 = pi/2
Suma y producto de raíces [src]
suma
  pi   pi   pi
- -- - -- + --
  2    3    2 
$$\left(- \frac{\pi}{2} - \frac{\pi}{3}\right) + \frac{\pi}{2}$$
=
-pi 
----
 3  
$$- \frac{\pi}{3}$$
producto
-pi  -pi  pi
----*----*--
 2    3   2 
$$\frac{\pi}{2} \cdot - \frac{\pi}{2} \left(- \frac{\pi}{3}\right)$$
=
  3
pi 
---
 12
$$\frac{\pi^{3}}{12}$$
pi^3/12
Respuesta numérica [src]
x1 = -64.4026493985908
x2 = -23.5619449019235
x3 = 61.261056745001
x4 = -29.845130209103
x5 = -85.870199198121
x6 = 42.4115008234622
x7 = -4.18879020478639
x8 = 4.71238898038469
x9 = -16.7551608191456
x10 = 36.1283155162826
x11 = 10.9955742875643
x12 = 74.3510261349584
x13 = 61.7846555205993
x14 = 23.5619449019235
x15 = -35.6047167406843
x16 = -17.2787595947439
x17 = 93.2005820564972
x18 = 26.7035375555132
x19 = 2.0943951023932
x20 = 33.5103216382911
x21 = -76.4454212373516
x22 = -32.4631240870945
x23 = 54.9778714378214
x24 = -63.8790506229925
x25 = 39.7935069454707
x26 = -70.162235930172
x27 = -80.1106126665397
x28 = 86.3937979737193
x29 = 39.2699081698724
x30 = 64.4026493985908
x31 = -83.2522053201295
x32 = 98.9601685880785
x33 = -95.8185759344887
x34 = 127.758101245985
x35 = -1.5707963267949
x36 = -48.6946861306418
x37 = -86.3937979737193
x38 = -92.6769832808989
x39 = -39.2699081698724
x40 = 67.5442420521806
x41 = -32.9867228626928
x42 = -41.8879020478639
x43 = 70.6858347057703
x44 = 90.0589894029074
x45 = -42.4115008234622
x46 = 55.5014702134197
x47 = -51.8362787842316
x48 = 58.1194640914112
x49 = -73.8274273593601
x50 = 71.2094334813686
x51 = 68.0678408277789
x52 = 29.845130209103
x53 = -45.553093477052
x54 = -38.7463093942741
x55 = -13.6135681655558
x56 = 80.1106126665397
x57 = -82.7286065445312
x58 = 77.4926187885482
x59 = -26.1799387799149
x60 = 52.3598775598299
x61 = 32.9867228626928
x62 = -10.9955742875643
x63 = -60.7374579694027
x64 = 5.23598775598299
x65 = 83.2522053201295
x66 = -67.5442420521806
x67 = 96.342174710087
x68 = 49.2182849062401
x69 = -7.85398163397448
x70 = 48.6946861306418
x71 = -54.4542726622231
x72 = 89.5353906273091
x73 = -10.471975511966
x74 = 76.9690200129499
x75 = 11.5191730631626
x76 = 83.7758040957278
x77 = -4.71238898038469
x78 = -98.9601685880785
x79 = -19.8967534727354
x80 = 27.2271363311115
x81 = 14.1371669411541
x82 = 99.4837673636768
x83 = 20.4203522483337
x84 = -70.6858347057703
x85 = -26.7035375555132
x86 = -48.1710873550435
x87 = 46.0766922526503
x88 = 45.553093477052
x89 = -54.9778714378214
x90 = -89.5353906273091
x91 = 24.0855436775217
x92 = 17.2787595947439
x93 = 92.6769832808989
x94 = 17.8023583703422
x95 = -76.9690200129499
x96 = -92.1533845053006
x97 = -20.4203522483337
x98 = -61.261056745001
x99 = -98.4365698124802
x99 = -98.4365698124802