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(cos(x)-1)/cos(x)+2*sin(x)*cot(x)=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
cos(x) - 1                      
---------- + 2*sin(x)*cot(x) = 0
  cos(x)                        
$$\frac{\cos{\left(x \right)} - 1}{\cos{\left(x \right)}} + 2 \sin{\left(x \right)} \cot{\left(x \right)} = 0$$
Gráfica
Suma y producto de raíces [src]
suma
  pi   pi
- -- + --
  3    3 
$$- \frac{\pi}{3} + \frac{\pi}{3}$$
=
0
$$0$$
producto
-pi  pi
----*--
 3   3 
$$- \frac{\pi}{3} \frac{\pi}{3}$$
=
   2 
-pi  
-----
  9  
$$- \frac{\pi^{2}}{9}$$
-pi^2/9
Respuesta rápida [src]
     -pi 
x1 = ----
      3  
$$x_{1} = - \frac{\pi}{3}$$
     pi
x2 = --
     3 
$$x_{2} = \frac{\pi}{3}$$
x2 = pi/3
Respuesta numérica [src]
x1 = -24.0855436775217
x2 = 3.14159208128483
x3 = 32.4631240870945
x4 = 53.4070754785475
x5 = 101.57816246607
x6 = -57.5958653158129
x7 = -32.4631240870945
x8 = 47.1238904231981
x9 = -74.3510261349584
x10 = 76.4454212373516
x11 = 59.6902606198205
x12 = 97.3893726407633
x13 = -91.1061873190615
x14 = 91.1061875962311
x15 = -3.14159299566395
x16 = -577455.098458789
x17 = -84.8230022602371
x18 = -9.42477814369344
x19 = 42.9350995990605
x20 = -30.3687289847013
x21 = 3.14159325142243
x22 = 84.8230013267706
x23 = -7.33038285837618
x24 = -53.4070753032199
x25 = 65.9734457530375
x26 = -21.9911485864351
x27 = 80.634211442138
x28 = -97.3893724627864
x29 = 15.7079634599512
x30 = -78.5398160064792
x31 = 28.2743338651651
x32 = -99.4837673636768
x33 = -84.8230010888273
x34 = -13.6135681655558
x35 = -49.2182849062401
x36 = 19.8967534727354
x37 = -34.5575188450499
x38 = -34.5575189735568
x39 = 91.106186418896
x40 = -59.6902604579095
x41 = 40.8407041656635
x42 = 63.8790506229925
x43 = 68.0678408277789
x44 = 74.3510261349584
x45 = 57.5958653158129
x46 = -80.634211442138
x47 = -72.256630859799
x48 = -61.7846555205993
x49 = -11.5191730631626
x50 = 26.1799387799149
x51 = -65.9734457648674
x52 = -84.8230022218876
x53 = 47.1238892505338
x54 = -19.8967534727354
x55 = 21.9911485852123
x56 = -68.0678408277789
x57 = 78.5398161752793
x58 = -40.8407039192169
x59 = 72.2566310277167
x60 = -70.162235930172
x61 = 36.6519142918809
x62 = -28.2743336999164
x63 = 70.162235930172
x64 = -17.8023583703422
x65 = -5.23598775598299
x66 = 9.42477831661805
x67 = -55.5014702134197
x68 = 24.0855436775217
x69 = -40.840705088939
x70 = -63.8790506229925
x71 = -15.7079632966475
x72 = 34.5575190158029
x73 = 61.7846555205993
x74 = 17.8023583703422
x75 = -26.1799387799149
x76 = 30.3687289847013
x77 = -47.1238901572318
x77 = -47.1238901572318