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cos((x/2)-(pi/12))(sin(x-pi/3)+1)=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
   /x   pi\ /   /    pi\    \    
cos|- - --|*|sin|x - --| + 1| = 0
   \2   12/ \   \    3 /    /    
$$\left(\sin{\left(x - \frac{\pi}{3} \right)} + 1\right) \cos{\left(\frac{x}{2} - \frac{\pi}{12} \right)} = 0$$
Gráfica
Respuesta rápida [src]
     -5*pi
x1 = -----
       6  
$$x_{1} = - \frac{5 \pi}{6}$$
     -pi 
x2 = ----
      6  
$$x_{2} = - \frac{\pi}{6}$$
x2 = -pi/6
Suma y producto de raíces [src]
suma
  5*pi   pi
- ---- - --
   6     6 
$$- \frac{5 \pi}{6} - \frac{\pi}{6}$$
=
-pi
$$- \pi$$
producto
-5*pi -pi 
-----*----
  6    6  
$$- \frac{5 \pi}{6} \left(- \frac{\pi}{6}\right)$$
=
    2
5*pi 
-----
  36 
$$\frac{5 \pi^{2}}{36}$$
5*pi^2/36
Respuesta numérica [src]
x1 = 60.2138591938044
x2 = -59.1666616426078
x3 = 100.007366130012
x4 = 68.5914394496279
x5 = 28.7979326579064
x6 = -90.5825881785057
x7 = 9.94837673636768
x8 = 12.0427717649432
x9 = -19.3731548604506
x10 = 91.6297857297023
x11 = 93.7241804805522
x12 = -19.3731542247171
x13 = -44.5058956167065
x14 = 18.3259570984499
x15 = 3.66519142918809
x16 = 18.3259572921907
x17 = -50.7890808058227
x18 = -38.2227103308146
x19 = -50.7890808195303
x20 = -63.3554513689883
x21 = -82.2050077035655
x22 = -52.8834763354282
x23 = 47.6474885794452
x24 = 87.4409958588811
x25 = 5.75958670256307
x26 = -31.939525448808
x27 = 49.7418835707396
x28 = -2.61799387799149
x29 = -13.0899695784286
x30 = 35.081117965086
x31 = -75.9218227414668
x32 = -8.90117918517108
x33 = 93.724181022845
x34 = 79.0634151153431
x35 = 169.122404865452
x36 = -63.3554520150748
x37 = 62.3082543981496
x38 = 16.2315620435473
x39 = 74.8746254122116
x40 = 37.1755132320703
x41 = 56.0250689530088
x42 = -57.072266725537
x43 = -88.4881927754635
x44 = 81.1578106624364
x45 = -27.7507351067098
x46 = -94.7713779622893
x47 = 24.6091422944527
x48 = -94.7713777722329
x49 = -15.1843644923507
x50 = 53.9306738866248
x51 = -13.0899688913633
x52 = -69.6386369328531
x53 = -82.2050076182491
x54 = -21.4675497995303
x55 = 30.8923275695297
x56 = -46.6002910282486
x57 = -84.2994028713261
x58 = 66.497044500984
x59 = -71.733032256967
x60 = -38.2227104577698
x61 = 5.75958668494956
x62 = 43.4586987004693
x63 = 30.8923282605981
x64 = 85.3466004225227
x65 = 81.157810304086
x66 = -101.054563196275
x67 = 37.1755135065462
x68 = -69.6386372203097
x69 = -151.320046387442
x70 = -96.8657734856853
x71 = 24.6091429187284
x72 = -6.80678381304272
x73 = 22.5147473507269
x74 = -34.0339204138894
x75 = 74.8746247182396
x76 = 62.3082542585608
x77 = 97.9129710368819
x78 = -78.0162175641465
x79 = -57.0722660436586
x80 = -25.65633981829
x81 = 49.7418838627643
x82 = -25.6563400611497
x83 = 72.7802298081635
x84 = -0.523598458061137
x85 = 41.3643032722656
x86 = 68.5914400612797
x87 = -65.4498469497874
x88 = -40.317105721069
x89 = -6.8067836495422
x89 = -6.8067836495422