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Sin(x/2)-cos(x/2)=1-sinx la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
   /x\      /x\             
sin|-| - cos|-| = 1 - sin(x)
   \2/      \2/             
$$\sin{\left(\frac{x}{2} \right)} - \cos{\left(\frac{x}{2} \right)} = 1 - \sin{\left(x \right)}$$
Gráfica
Suma y producto de raíces [src]
suma
0
$$0$$
=
0
$$0$$
producto
1
$$1$$
=
1
$$1$$
1
Respuesta numérica [src]
x1 = 95.8185759344887
x2 = -98.9601685880785
x3 = -59.6902604182061
x4 = 76.9690200129499
x5 = 3.14159265358979
x6 = -43.9822971502571
x7 = 81.6814089933346
x8 = 58.1194640914112
x9 = 14.1371669411541
x10 = -29.845130209103
x11 = -36.1283155162826
x12 = -4.71238898038469
x13 = 28.2743338823081
x14 = 1.5707963267949
x15 = 65.9734457253857
x16 = -31.4159265358979
x17 = -9.42477796076938
x18 = -67.5442420521806
x19 = 40.8407044966673
x20 = 56.5486677646163
x21 = -56.5486677646163
x22 = 91.106186954104
x23 = 43.9822971502571
x24 = -86.3937979737193
x25 = 102.101761241668
x26 = -186.924762888593
x27 = 39.2699081698724
x28 = -106.814150222053
x29 = 7.85398163397448
x30 = 6.28318530717959
x31 = -61.261056745001
x32 = -876.504350351552
x33 = -47.1238898038469
x34 = -73.8274273593601
x35 = 18.8495559215388
x36 = 69.1150383789755
x37 = -8700.64085411693
x38 = -84.8230016469244
x39 = -72.2566310325652
x40 = 64.4026493985908
x41 = -6.28318530717959
x42 = -21.9911485751286
x43 = 89.5353906273091
x44 = 53.4070751110265
x45 = 15.707963267949
x46 = 51.8362787842316
x47 = 83.2522053201295
x48 = -48.6946861306418
x49 = -54.9778714378214
x50 = -69.1150383789755
x51 = 70.6858347057703
x52 = 26.7035375555132
x53 = -18.8495559215388
x54 = -23.5619449019235
x55 = -81.6814089933346
x56 = 78.5398163397448
x57 = -42.4115008234622
x58 = 31.4159265358979
x59 = 32.9867228626928
x60 = 20.4203522483337
x61 = -97.3893722612836
x62 = -92.6769832808989
x63 = -10.9955742875643
x64 = 94.2477796076938
x65 = 45.553093477052
x66 = -17.2787595947439
x67 = -80.1106126665397
x68 = -94.2477796076938
x69 = -34.5575191894877
x69 = -34.5575191894877