Господин Экзамен

Другие калькуляторы


cos^2x=cosx

cos^2x=cosx уравнение

С верным решением ты станешь самым любимым в группе❤️😊

v

Численное решение:

Искать численное решение на промежутке [, ]

Решение

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