x/3*cos=0 (уравнение)

Найду корень уравнения: x/3*cos=0

Вы ввели

x           
-*cos(x) = 0
3           

$$\frac{x}{3} \cos{\left(x \right)} = 0$$

Быстрый ответ

x1 = 0

$$x_{1} = 0$$

     -pi 
x2 = ----
      2  

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

     pi
x3 = --
     2 

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

Сумма и произведение корней

сумма

  pi   pi
- -- + --
  2    2 

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

=

0

$$0$$

произведение

  -pi  pi
0*----*--
   2   2 

$$\frac{\pi}{2} \cdot 0 \left(- \frac{\pi}{2}\right)$$

=

0

$$0$$

Численный ответ

x1 = 14.1371669411541

x2 = 20.4203522483337

x3 = 114.668131856027

x4 = 98.9601685880785

x5 = 89.5353906273091

x6 = 80.1106126665397

x7 = 39.2699081698724

x8 = 26.7035375555132

x9 = 64.4026493985908

x10 = 95.8185759344887

x11 = -20.4203522483337

x12 = 32.9867228626928

x13 = -29.845130209103

x14 = -14.1371669411541

x15 = 10.9955742875643

x16 = -32.9867228626928

x17 = -51.8362787842316

x18 = -76.9690200129499

x19 = 51.8362787842316

x20 = -26.7035375555132

x21 = 0.0

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 = -114.668131856027

x39 = -92.6769832808989

x40 = -73.8274273593601

x41 = -7.85398163397448

x42 = 67.5442420521806

x43 = -67.5442420521806

x44 = -17.2787595947439

x45 = 54.9778714378214

x46 = 1.5707963267949

x47 = 61.261056745001

x48 = -64.4026493985908

x49 = -4.71238898038469

x50 = -58.1194640914112

x51 = -80.1106126665397

x52 = -89.5353906273091

x53 = 58.1194640914112

x54 = -42.4115008234622

x55 = -45.553093477052

x56 = 7.85398163397448

x57 = 29.845130209103

x58 = 86.3937979737193

x59 = -70.6858347057703

x60 = 70.6858347057703

x61 = 23.5619449019235

x62 = 76.9690200129499

x63 = -23.5619449019235

x64 = -36.1283155162826

x65 = 92.6769832808989

x66 = 17.2787595947439

x67 = -98.9601685880785

График