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cos(x)^(2)-cos(x)=0

cos(x)^(2)-cos(x)=0 уравнение

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Численное решение:

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Решение

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