coax=0 (уравнение)

Найду корень уравнения: coax=0

Вы ввели

cos(x) = 0

$$\cos{\left(x \right)} = 0$$

Подробное решение

Дано уравнение
$$\cos{\left(x \right)} = 0$$
- это простейшее тригонометрическое ур-ние

с изменением знака при 0

Получим:
$$\cos{\left(x \right)} = 0$$
Это ур-ние преобразуется в
$$x = \pi n + \operatorname{acos}{\left(0 \right)}$$
$$x = \pi n - \pi + \operatorname{acos}{\left(0 \right)}$$
Или
$$x = \pi n + \frac{\pi}{2}$$
$$x = \pi n - \frac{\pi}{2}$$
, где n - любое целое число

Быстрый ответ

     pi
x1 = --
     2 

$$x_{1} = \frac{\pi}{2}$$

     3*pi
x2 = ----
      2  

$$x_{2} = \frac{3 \pi}{2}$$

Сумма и произведение корней

сумма

pi   3*pi
-- + ----
2     2  

$$\frac{\pi}{2} + \frac{3 \pi}{2}$$

=

2*pi

$$2 \pi$$

произведение

pi 3*pi
--*----
2   2  

$$\frac{\pi}{2} \frac{3 \pi}{2}$$

=

    2
3*pi 
-----
  4  

$$\frac{3 \pi^{2}}{4}$$

Численный ответ

x1 = 14.1371669411541

x2 = 20.4203522483337

x3 = 89.5353906273091

x4 = 98.9601685880785

x5 = 80.1106126665397

x6 = -2266.65909956504

x7 = -98.9601685880785

x8 = 39.2699081698724

x9 = 26.7035375555132

x10 = 64.4026493985908

x11 = 95.8185759344887

x12 = -20.4203522483337

x13 = 32.9867228626928

x14 = -29.845130209103

x15 = -14.1371669411541

x16 = 10.9955742875643

x17 = -32.9867228626928

x18 = -51.8362787842316

x19 = -76.9690200129499

x20 = 51.8362787842316

x21 = -26.7035375555132

x22 = 73.8274273593601

x23 = 48.6946861306418

x24 = 45.553093477052

x25 = 4.71238898038469

x26 = -10.9955742875643

x27 = 42.4115008234622

x28 = -39.2699081698724

x29 = -61.261056745001

x30 = -1.5707963267949

x31 = -48.6946861306418

x32 = -95.8185759344887

x33 = -83.2522053201295

x34 = 36.1283155162826

x35 = -54.9778714378214

x36 = 83.2522053201295

x37 = -86.3937979737193

x38 = -92.6769832808989

x39 = -73.8274273593601

x40 = -7.85398163397448

x41 = 67.5442420521806

x42 = -67.5442420521806

x43 = -17.2787595947439

x44 = 54.9778714378214

x45 = 1.5707963267949

x46 = 61.261056745001

x47 = -64.4026493985908

x48 = -4.71238898038469

x49 = -58.1194640914112

x50 = -80.1106126665397

x51 = -89.5353906273091

x52 = 58.1194640914112

x53 = -42.4115008234622

x54 = -45.553093477052

x55 = 7.85398163397448

x56 = 29.845130209103

x57 = 86.3937979737193

x58 = -70.6858347057703

x59 = 70.6858347057703

x60 = -168.075206967054

x61 = 23.5619449019235

x62 = 76.9690200129499

x63 = -23.5619449019235

x64 = -36.1283155162826

x65 = 92.6769832808989

x66 = 17.2787595947439

x67 = -387.986692718339

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