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cos(x/3)*cos(Pi/6)+sin(x/3)*sin(Pi/6)=-1 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
   /x\    /pi\      /x\    /pi\     
cos|-|*cos|--| + sin|-|*sin|--| = -1
   \3/    \6 /      \3/    \6 /     
$$\sin{\left(\frac{x}{3} \right)} \sin{\left(\frac{\pi}{6} \right)} + \cos{\left(\frac{x}{3} \right)} \cos{\left(\frac{\pi}{6} \right)} = -1$$
Gráfica
Respuesta rápida [src]
     -5*pi
x1 = -----
       2  
$$x_{1} = - \frac{5 \pi}{2}$$
x1 = -5*pi/2
Suma y producto de raíces [src]
suma
-5*pi
-----
  2  
$$- \frac{5 \pi}{2}$$
=
-5*pi
-----
  2  
$$- \frac{5 \pi}{2}$$
producto
-5*pi
-----
  2  
$$- \frac{5 \pi}{2}$$
=
-5*pi
-----
  2  
$$- \frac{5 \pi}{2}$$
-5*pi/2
Respuesta numérica [src]
x1 = -45.5530968129102
x2 = 105.243352363861
x3 = -102.101760273021
x4 = -102.101759735108
x5 = 67.54424071986
x6 = 48.6946845997592
x7 = 48.6946853274531
x8 = 86.3937993869938
x9 = 86.3937987477998
x10 = -45.5530944589629
x11 = -45.553092067178
x12 = 48.6946874821834
x13 = 67.5442423189049
x14 = 10.9955731151489
x15 = -26.7035369982693
x16 = 48.694685894766
x17 = -7.85398032723985
x18 = 29.8451337878457
x19 = -45.553096857875
x20 = 29.8451317223307
x21 = 105.243354267289
x22 = 29.8451287942595
x23 = -26.7035390824009
x24 = 29.8451294637589
x25 = 10.9955739121842
x26 = 3309.66785651472
x27 = -26.7035360072172
x28 = 10.9955755577385
x29 = -7.85398309730209
x30 = 86.3937970116281
x31 = 29.8451313161967
x32 = -83.2522068543534
x33 = -83.2522038161176
x34 = 67.5442435927918
x35 = -64.4026491572641
x36 = -7.85398149609362
x37 = -26.7035371733036
x38 = 48.6946867788496
x39 = 67.5442428408563
x40 = -64.4026508805649
x41 = -7.85398076045308
x42 = 86.3937964728932
x43 = -64.4026478614581
x44 = 67.5442405596558
x45 = -83.2522055810281
x46 = -45.5530927248003
x47 = -26.7035380659349
x48 = 29.8451288047725
x49 = 67.5442414337236
x50 = -64.4026507444957
x51 = -83.2522046946686
x52 = 48.6946850593394
x53 = -83.2522067837143
x54 = 67.5442431482178
x55 = -83.2522039821437
x56 = -64.4026485422019
x57 = -26.7035388198602
x58 = 10.995572746541
x59 = 86.3937943423964
x60 = -7.85398250076165
x61 = -64.4026473987936
x62 = -45.5530945477598
x63 = 48.6946876247613
x64 = -7.85398291698073
x65 = 48.6946843774926
x66 = -7.85398016508782
x67 = 10.9955738783594
x68 = -12184.6671058483
x69 = -83.2522064098972
x70 = 10.9955748049686
x71 = 67.5442437432799
x72 = -45.5530949844821
x73 = -83.2522060509042
x74 = 86.3937978866204
x75 = -26.7035371734416
x76 = 29.8451311975285
x77 = 10.9955752764273
x78 = -102.101760092288
x79 = 29.8451303239733
x80 = 10.9955758235386
x81 = -120.951319939125
x82 = -26.7035363770348
x83 = -64.402650039804
x84 = -45.5530935919093
x85 = 86.3937993949915
x86 = 86.3937968579882
x87 = -45.5530920460953
x88 = -64.4026483209746
x89 = 10.9955739926345
x89 = 10.9955739926345