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cos2x=sin(x+(π/2)) la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
              /    pi\
cos(2*x) = sin|x + --|
              \    2 /
$$\cos{\left(2 x \right)} = \sin{\left(x + \frac{\pi}{2} \right)}$$
Gráfica
Respuesta rápida [src]
x1 = 0
$$x_{1} = 0$$
     -4*pi
x2 = -----
       3  
$$x_{2} = - \frac{4 \pi}{3}$$
     -2*pi
x3 = -----
       3  
$$x_{3} = - \frac{2 \pi}{3}$$
     2*pi
x4 = ----
      3  
$$x_{4} = \frac{2 \pi}{3}$$
     4*pi
x5 = ----
      3  
$$x_{5} = \frac{4 \pi}{3}$$
x6 = 2*pi
$$x_{6} = 2 \pi$$
x6 = 2*pi
Suma y producto de raíces [src]
suma
  4*pi   2*pi   2*pi   4*pi       
- ---- - ---- + ---- + ---- + 2*pi
   3      3      3      3         
$$\left(\left(\left(- \frac{4 \pi}{3} - \frac{2 \pi}{3}\right) + \frac{2 \pi}{3}\right) + \frac{4 \pi}{3}\right) + 2 \pi$$
=
2*pi
$$2 \pi$$
producto
  -4*pi -2*pi 2*pi 4*pi     
0*-----*-----*----*----*2*pi
    3     3    3    3       
$$2 \pi \frac{4 \pi}{3} \frac{2 \pi}{3} \cdot - \frac{2 \pi}{3} \cdot 0 \left(- \frac{4 \pi}{3}\right)$$
=
0
$$0$$
0
Respuesta numérica [src]
x1 = 98.4365698124802
x2 = -71.2094334813686
x3 = 96.342174710087
x4 = 43.9822971694142
x5 = -92.1533845053006
x6 = 79.5870138909414
x7 = -83.7758040957278
x8 = -18.8495558410301
x9 = -100.530964690899
x10 = -48.1710873550435
x11 = 25.1327411125589
x12 = 25.1327417460082
x13 = 56.5486676119735
x14 = 16.7551608191456
x15 = 75.3982239117447
x16 = 8.37758040957278
x17 = -2.0943951023932
x18 = 41.8879020478639
x19 = -31.4159267013407
x20 = 69.1150383780256
x21 = -39.7935069454707
x22 = -96.342174710087
x23 = -29.3215314335047
x24 = 94.2477796093525
x25 = -18.8495555012277
x26 = -41.8879020478639
x27 = -35.6047167406843
x28 = -10.471975511966
x29 = -75.3982238575994
x30 = -94.2477794556977
x31 = 50.2654824463501
x32 = 39.7935069454707
x33 = 6.28318528426584
x34 = 48.1710873550435
x35 = -62.8318529623378
x36 = -62.8318529503654
x37 = -77.4926187885482
x38 = 37.6991120149696
x39 = 25.1327412731354
x40 = -25.1327414474833
x41 = -27.2271363311115
x42 = 58.6430628670095
x43 = -50.2654822985064
x44 = -69.1150385967809
x45 = -12.5663703884691
x46 = -54.4542726622231
x47 = 52.3598775598299
x48 = -18.8495558006412
x49 = 25.13274122338
x50 = -43.9822971745925
x51 = -69.11503909537
x52 = 85.870199198121
x53 = 35.6047167406843
x54 = 69.1150383295746
x55 = 62.8318528532238
x56 = -33.5103216382911
x57 = 33.5103216382911
x58 = 92.1533845053006
x59 = -18.8495558711096
x60 = 18.8495557025416
x61 = 2.0943951023932
x62 = 14.6607657167524
x63 = 83.7758040957278
x64 = 10.471975511966
x65 = -52.3598775598299
x66 = -90.0589894029074
x67 = 69.115037832119
x68 = 77.4926187885482
x69 = 54.4542726622231
x70 = 46.0766922526503
x71 = -8.37758040957278
x72 = 4.18879020478639
x73 = -87.9645943588266
x74 = -46.0766922526503
x75 = 69.1150384283402
x76 = 0.0
x77 = -6.28318514161788
x78 = -79.5870138909414
x79 = -85.870199198121
x80 = 60.7374579694027
x81 = -62.8318537995483
x82 = 12.5663704551863
x83 = 31.4159267619367
x84 = 43.9822969706241
x85 = 12.5663700882745
x86 = 90.0589894029074
x87 = -98.4365698124802
x88 = 87.9645943357073
x89 = -73.3038285837618
x90 = -81.6814090379303
x91 = -37.6991118771132
x92 = 81.6814091712551
x93 = -4.18879020478639
x94 = 100.530964769014
x95 = -56.5486675394273
x95 = -56.5486675394273