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cos(2*x+pi/2)=sqrt(2)*sin(x)

cos(2*x+pi/2)=sqrt(2)*sin(x) la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
   /      pi\     ___       
cos|2*x + --| = \/ 2 *sin(x)
   \      2 /               
cos(2x+π2)=2sin(x)\cos{\left(2 x + \frac{\pi}{2} \right)} = \sqrt{2} \sin{\left(x \right)}
Gráfica
0-80-60-40-2020406080-1001005-5
Respuesta rápida [src]
x1 = 0
x1=0x_{1} = 0
     -3*pi
x2 = -----
       4  
x2=3π4x_{2} = - \frac{3 \pi}{4}
     3*pi
x3 = ----
      4  
x3=3π4x_{3} = \frac{3 \pi}{4}
x4 = pi
x4=πx_{4} = \pi
x4 = pi
Suma y producto de raíces [src]
suma
  3*pi   3*pi     
- ---- + ---- + pi
   4      4       
(3π4+3π4)+π\left(- \frac{3 \pi}{4} + \frac{3 \pi}{4}\right) + \pi
=
pi
π\pi
producto
  -3*pi 3*pi   
0*-----*----*pi
    4    4     
π3π40(3π4)\pi \frac{3 \pi}{4} \cdot 0 \left(- \frac{3 \pi}{4}\right)
=
0
00
0
Respuesta numérica [src]
x1 = 35.3429173528852
x2 = -14.9225651045515
x3 = 40.0553063332699
x4 = 65.1880475619882
x5 = -3.92699081698724
x6 = 18.8495559215388
x7 = -71.4712328691678
x8 = 100.530964914873
x9 = 8.63937979737193
x10 = -204.988920646734
x11 = -54.1924732744239
x12 = 79.3252145031423
x13 = -81.6814089933346
x14 = 65.9734457253857
x15 = -12.5663706143592
x16 = -91.8915851175014
x17 = 52.621676947629
x18 = -43.9822971502571
x19 = 41.6261026600648
x20 = -40.0553063332699
x21 = -342.433599241287
x22 = -58.9048622548086
x23 = -56.5486677646163
x24 = 31.4159265358979
x25 = -33.7721210260903
x26 = -31.4159265358979
x27 = 21.9911485751286
x28 = 2.35619449019234
x29 = 85.6083998103219
x30 = -87.9645943005142
x31 = 94.2477796076938
x32 = -73.0420291959627
x33 = 12.5663706143592
x34 = 77.7544181763474
x35 = -96.6039740978861
x36 = -47.9092879672443
x37 = -52.621676947629
x38 = -41.6261026600648
x39 = -84.037603483527
x40 = 98.174770424681
x41 = -21.9911485751286
x42 = -15.707963267949
x43 = -100.530964914873
x44 = -69.1150383789755
x45 = -59.6902604182061
x46 = -35.3429173528852
x47 = 28.2743338823081
x48 = -75.398223686155
x49 = 461.8141200777
x50 = -9.42477796076938
x51 = 54.1924732744239
x52 = -90.3207887907066
x53 = 58.9048622548086
x54 = 47.9092879672443
x55 = 21.2057504117311
x56 = -65.9734457253857
x57 = 29.0597320457056
x58 = 56.5486677646163
x59 = 71.4712328691678
x60 = -85.6083998103219
x61 = -98.174770424681
x62 = 72.2566310325652
x63 = 0.0
x64 = -29.0597320457056
x65 = -3095.25416194934
x66 = 75.398223686155
x67 = 600.04419683565
x68 = 10.2101761241668
x69 = 43.9822971502571
x70 = -77.7544181763474
x71 = -25.1327412287183
x72 = 46.3384916404494
x73 = 87.9645943005142
x74 = -2.35619449019234
x75 = 16.4933614313464
x76 = -37.6991118430775
x77 = -8.63937979737193
x78 = -46.3384916404494
x79 = -94.2477796076938
x80 = 37.6991118430775
x81 = -50.2654824574367
x82 = 81.6814089933346
x83 = -79.3252145031423
x84 = -27.4889357189107
x85 = 3.14159265358979
x86 = 84.037603483527
x87 = 14.9225651045515
x88 = 50.2654824574367
x89 = 96.6039740978861
x90 = 91.8915851175014
x91 = -6.28318530717959
x92 = 62.8318530717959
x93 = 6.28318530717959
x94 = -311.01767270539
x95 = 90.3207887907066
x96 = 3.92699081698724
x97 = 115.453530019425
x97 = 115.453530019425
Gráfico
cos(2*x+pi/2)=sqrt(2)*sin(x) la ecuación