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sin(x+3*pi/2)^2=cos(x) la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
   2/    3*pi\         
sin |x + ----| = cos(x)
    \     2  /         
$$\sin^{2}{\left(x + \frac{3 \pi}{2} \right)} = \cos{\left(x \right)}$$
Gráfica
Respuesta rápida [src]
x1 = 0
$$x_{1} = 0$$
     pi
x2 = --
     2 
$$x_{2} = \frac{\pi}{2}$$
     3*pi
x3 = ----
      2  
$$x_{3} = \frac{3 \pi}{2}$$
x4 = 2*pi
$$x_{4} = 2 \pi$$
x4 = 2*pi
Suma y producto de raíces [src]
suma
pi   3*pi       
-- + ---- + 2*pi
2     2         
$$\left(\frac{\pi}{2} + \frac{3 \pi}{2}\right) + 2 \pi$$
=
4*pi
$$4 \pi$$
producto
  pi 3*pi     
0*--*----*2*pi
  2   2       
$$2 \pi \frac{3 \pi}{2} \cdot 0 \frac{\pi}{2}$$
=
0
$$0$$
0
Respuesta numérica [src]
x1 = 4.71238898038469
x2 = 17.2787595947439
x3 = -56.5486675907774
x4 = 25.1327408583892
x5 = 7.85398163397448
x6 = -25.1327413641924
x7 = -87.964594358935
x8 = -12.5663704469816
x9 = -39.2699081698724
x10 = -18.8495562409837
x11 = -43.9822971746199
x12 = 95.8185759344887
x13 = -86.3937979737193
x14 = -10.9955742875643
x15 = -48.6946861306418
x16 = -45.553093477052
x17 = -75.3982238479311
x18 = 26.7035375555132
x19 = 10.9955742875643
x20 = 12.5663704623094
x21 = 32.9867228626928
x22 = -20.4203522483337
x23 = 0.0
x24 = 69.1150385134118
x25 = 25.1327418085792
x26 = 50.2654824463558
x27 = -389.557489134924
x28 = -98.9601685880785
x29 = 48.6946861306418
x30 = -58.1194640914112
x31 = 39.2699081698724
x32 = 94.2477796093526
x33 = 23.5619449019235
x34 = 43.9822971693881
x35 = -80.1106126665397
x36 = 87.9645943356049
x37 = 18.8495557729205
x38 = 98.9601685880785
x39 = -83.2522053201295
x40 = 86.3937979737193
x41 = 45.553093477052
x42 = 56.5486676180351
x43 = 51.8362787842316
x44 = 69.1150379836781
x45 = 76.9690200129499
x46 = -26.7035375555132
x47 = 31.4159266948554
x48 = 83.2522053201295
x49 = -14.1371669411541
x50 = 20.4203522483337
x51 = -54.9778714378214
x52 = 75.3982238342404
x53 = -73.8274273593601
x54 = 6.28318528429551
x55 = -76.9690200129499
x56 = -29.845130209103
x57 = -89.5353906273091
x58 = 64.4026493985908
x59 = 62.8318529132021
x60 = -92.6769832808989
x61 = -62.8318534973011
x62 = 61.261056745001
x63 = 29.845130209103
x64 = 81.6814091609407
x65 = -51.8362787842316
x66 = 92.6769832808989
x67 = -67.5442420521806
x68 = -6.28318514935383
x69 = -36.1283155162826
x70 = -31.4159266930206
x71 = -7.85398163397448
x72 = 54.9778714378214
x73 = 14.1371669411541
x74 = 89.5353906273091
x75 = -100.530964736174
x76 = 80.1106126665397
x77 = 42.4115008234622
x78 = -37.6991118770355
x79 = -50.2654823051418
x80 = 70.6858347057703
x81 = 36.1283155162826
x82 = -1.5707963267949
x83 = -95.8185759344887
x84 = -23.5619449019235
x85 = -32.9867228626928
x86 = -94.2477794613449
x87 = 37.6991120060109
x88 = -4.71238898038469
x89 = -17.2787595947439
x90 = -70.6858347057703
x91 = 100.530964774136
x92 = -81.6814090377756
x93 = -69.115038497193
x94 = 73.8274273593601
x95 = 58.1194640914112
x96 = 1.5707963267949
x97 = -42.4115008234622
x97 = -42.4115008234622