Sr Examen

2sin(x/2)=1-cosx la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
     /x\             
2*sin|-| = 1 - cos(x)
     \2/             
$$2 \sin{\left(\frac{x}{2} \right)} = 1 - \cos{\left(x \right)}$$
Gráfica
Respuesta numérica [src]
x1 = -43.9822971502571
x2 = -31.4159265358979
x3 = -47.1238900937281
x4 = -59.6902604577611
x5 = 6.28318530717959
x6 = 53.4070754088963
x7 = -21.9911485864442
x8 = 91.1061873230527
x9 = 53.4070758368143
x10 = -113.097335529233
x11 = -97.3893720146353
x12 = 282.743338823081
x13 = 94.2477796076938
x14 = -21.9911479219079
x15 = 50.2654824574367
x16 = 56.5486677646163
x17 = 43.9822971502571
x18 = 37.6991118430775
x19 = -50.2654824574367
x20 = -84.8230012894877
x21 = 3.14159229681551
x22 = 78.539817080259
x23 = -62.8318530717959
x24 = 40.8407042185948
x25 = -56.5486677646163
x26 = -81.6814089933346
x27 = -6.28318530717959
x28 = 78.5398161823296
x29 = -25.1327412287183
x30 = -75.398223686155
x31 = -59.6902601698037
x32 = -69.1150383789755
x33 = 91.1061866036481
x34 = -9.42477775834995
x35 = -34.5575189032924
x36 = 28.274333865185
x37 = 527.787565803085
x38 = 53.4070747466413
x39 = 62.8318530717959
x40 = -18.8495559215388
x41 = 25.1327412287183
x42 = -72.2566308678941
x43 = -87.9645943005142
x44 = 100.530964914873
x45 = 65.9734459599234
x46 = 81.6814089933346
x47 = -9.42477813410495
x48 = -84.8230020090307
x49 = 75.398223686155
x50 = 87.9645943005142
x51 = 12.5663706143592
x52 = 69.1150383789755
x53 = 65.9734437809933
x54 = 3.14159301725172
x55 = 65.9734457529603
x56 = 0.0
x57 = -34.5575195471491
x58 = -37.6991118430775
x59 = 31.4159265358979
x60 = -72.2566311053586
x61 = -12.5663706143592
x62 = -97.3893724500928
x63 = 15.707963119436
x64 = 78.5398164841481
x65 = -94.2477796076938
x66 = -59.690261256567
x67 = 15.7079634490009
x68 = -47.1238894300399
x69 = -100.530964914873
x70 = 40.8407048650635
x71 = 28.274333617034
x72 = 18.8495559215388
x73 = 40.8407042380736
x73 = 40.8407042380736