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cos(x)/sin(x)=0

cos(x)/sin(x)=0 уравнение

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Численное решение:

Искать численное решение на промежутке [, ]

Решение

Вы ввели [src]
cos(x)    
------ = 0
sin(x)    
$$\frac{\cos{\left(x \right)}}{\sin{\left(x \right)}} = 0$$
График
Быстрый ответ [src]
      pi
x_1 = --
      2 
$$x_{1} = \frac{\pi}{2}$$
      3*pi
x_2 = ----
       2  
$$x_{2} = \frac{3 \pi}{2}$$
Сумма и произведение корней [src]
сумма
pi   3*pi
-- + ----
2     2  
$$\left(\frac{\pi}{2}\right) + \left(\frac{3 \pi}{2}\right)$$
=
2*pi
$$2 \pi$$
произведение
pi   3*pi
-- * ----
2     2  
$$\left(\frac{\pi}{2}\right) * \left(\frac{3 \pi}{2}\right)$$
=
    2
3*pi 
-----
  4  
$$\frac{3 \pi^{2}}{4}$$
Численный ответ [src]
x1 = 61.261056745001
x2 = -48.6946861306418
x3 = 73.8274273593601
x4 = -70.6858347057703
x5 = 20.4203522483337
x6 = -20.4203522483337
x7 = 45.553093477052
x8 = 64.4026493985908
x9 = -80.1106126665397
x10 = -10.9955742875643
x11 = -54.9778714378214
x12 = -23.5619449019235
x13 = -7.85398163397448
x14 = -36.1283155162826
x15 = -76.9690200129499
x16 = 76.9690200129499
x17 = 54.9778714378214
x18 = 26.7035375555132
x19 = 23.5619449019235
x20 = 58.1194640914112
x21 = 14.1371669411541
x22 = -39.2699081698724
x23 = -83.2522053201295
x24 = 83.2522053201295
x25 = -64.4026493985908
x26 = -29.845130209103
x27 = 48.6946861306418
x28 = -1.5707963267949
x29 = 4.71238898038469
x30 = -45.553093477052
x31 = -14.1371669411541
x32 = 70.6858347057703
x33 = 86.3937979737193
x34 = 1.5707963267949
x35 = 95.8185759344887
x36 = -4.71238898038469
x37 = 7.85398163397448
x38 = 92.6769832808989
x39 = -67.5442420521806
x40 = 98.9601685880785
x41 = -42.4115008234622
x42 = 89.5353906273091
x43 = 51.8362787842316
x44 = -51.8362787842316
x45 = -58.1194640914112
x46 = 17.2787595947439
x47 = -95.8185759344887
x48 = 10.9955742875643
x49 = 32.9867228626928
x50 = -61.261056745001
x51 = -98.9601685880785
x52 = 39.2699081698724
x53 = -89.5353906273091
x54 = -92.6769832808989
x55 = -73.8274273593601
x56 = -17.2787595947439
x57 = 29.845130209103
x58 = 67.5442420521806
x59 = 80.1106126665397
x60 = -26.7035375555132
x61 = -32.9867228626928
x62 = 36.1283155162826
x63 = 42.4115008234622
x64 = -86.3937979737193
x64 = -86.3937979737193
График
cos(x)/sin(x)=0 уравнение