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cos(x)^2=cos(x)

cos(x)^2=cos(x) уравнение

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Численное решение:

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Решение

Вы ввели [src]
   2            
cos (x) = cos(x)
$$\cos^{2}{\left(x \right)} = \cos{\left(x \right)}$$
График
Быстрый ответ [src]
x_1 = 0
$$x_{1} = 0$$
      pi
x_2 = --
      2 
$$x_{2} = \frac{\pi}{2}$$
      3*pi
x_3 = ----
       2  
$$x_{3} = \frac{3 \pi}{2}$$
x_4 = 2*pi
$$x_{4} = 2 \pi$$
Сумма и произведение корней [src]
сумма
    pi   3*pi       
0 + -- + ---- + 2*pi
    2     2         
$$\left(0\right) + \left(\frac{\pi}{2}\right) + \left(\frac{3 \pi}{2}\right) + \left(2 \pi\right)$$
=
4*pi
$$4 \pi$$
произведение
    pi   3*pi       
0 * -- * ---- * 2*pi
    2     2         
$$\left(0\right) * \left(\frac{\pi}{2}\right) * \left(\frac{3 \pi}{2}\right) * \left(2 \pi\right)$$
=
0
$$0$$
Численный ответ [src]
x1 = -95.8185759344887
x2 = -89.5353906273091
x3 = 86.3937979737193
x4 = 31.4159266948554
x5 = 32.9867228626928
x6 = -23.5619449019235
x7 = -62.8318534973011
x8 = 42.4115008234622
x9 = 25.1327408583892
x10 = 0.0
x11 = 37.6991120060109
x12 = 12.5663704623094
x13 = 98.9601685880785
x14 = -7.85398163397448
x15 = -39.2699081698724
x16 = -26.7035375555132
x17 = -67.5442420521806
x18 = -54.9778714378214
x19 = -56.5486675907774
x20 = -94.2477794613449
x21 = -32.9867228626928
x22 = 100.530964774136
x23 = 69.1150385134118
x24 = -58.1194640914112
x25 = 92.6769832808989
x26 = -51.8362787842316
x27 = 87.9645943356049
x28 = 50.2654824463558
x29 = 45.553093477052
x30 = -87.964594358935
x31 = -31.4159266930206
x32 = -83.2522053201295
x33 = 75.3982238342404
x34 = 73.8274273593601
x35 = -92.6769832808989
x36 = 20.4203522483337
x37 = -80.1106126665397
x38 = 80.1106126665397
x39 = 29.845130209103
x40 = -1.5707963267949
x41 = -17.2787595947439
x42 = 17.2787595947439
x43 = 62.8318529132021
x44 = 36.1283155162826
x45 = 56.5486676180351
x46 = -25.1327413641924
x47 = 95.8185759344887
x48 = 81.6814091609407
x49 = -10.9955742875643
x50 = -4.71238898038469
x51 = 25.1327418085792
x52 = -37.6991118770355
x53 = 7.85398163397448
x54 = -42.4115008234622
x55 = 6.28318528429551
x56 = 83.2522053201295
x57 = -43.9822971746199
x58 = -45.553093477052
x59 = 4.71238898038469
x60 = 76.9690200129499
x61 = -73.8274273593601
x62 = 26.7035375555132
x63 = -75.3982238479311
x64 = 54.9778714378214
x65 = -6.28318514935383
x66 = 14.1371669411541
x67 = 10.9955742875643
x68 = -14.1371669411541
x69 = -389.557489134924
x70 = -69.115038497193
x71 = -70.6858347057703
x72 = -50.2654823051418
x73 = -48.6946861306418
x74 = 64.4026493985908
x75 = -12.5663704469816
x76 = 43.9822971693881
x77 = 18.8495557729205
x78 = 39.2699081698724
x79 = 69.1150379836781
x80 = -76.9690200129499
x81 = 89.5353906273091
x82 = 1.5707963267949
x83 = 58.1194640914112
x84 = -86.3937979737193
x85 = -100.530964736174
x86 = -18.8495562409837
x87 = 23.5619449019235
x88 = -98.9601685880785
x89 = 94.2477796093526
x90 = -20.4203522483337
x91 = 61.261056745001
x92 = -36.1283155162826
x93 = 70.6858347057703
x94 = -81.6814090377756
x95 = 51.8362787842316
x96 = 48.6946861306418
x97 = -29.845130209103
x97 = -29.845130209103
График
cos(x)^2=cos(x) уравнение