cos(pi*x)=1

$$cos{left (pi x right )} = 1$$

Дано уравнение
$$cos{left (pi x right )} = 1$$
– это простейшее тригонометрическое ур-ние
Это ур-ние преобразуется в
$$pi x = pi n + {acos}{left (1 right )}$$
$$pi x = pi n – pi + {acos}{left (1 right )}$$
Или
$$pi x = pi n$$
$$pi x = pi n – pi$$
, где n – любое целое число
Разделим обе части полученного ур-ния на
$$pi$$
получим ответ:
$$x_{1} = n$$
$$x_{2} = frac{1}{pi} left(pi n – piright)$$

$$x_{1} = 0$$

x2 = 2

$$x_{2} = 2$$

x1 = 34.0000000000000

x2 = 92.0000000000000

x3 = -100.000000000000

x4 = 12.0000000000000

x5 = 80.0000000000000

x6 = 4.00000000000000

x7 = 70.0000000000000

x8 = -82.0000000000000

x9 = 90.0000000000000

x10 = -14.0000000000000

x11 = -78.0000000000000

x12 = -90.0000000000000

x13 = -46.0000000000000

x14 = -48.0000000000000

x15 = 46.0000000000000

x16 = 66.0000000000000

x17 = 22.0000000000000

x18 = 72.0000000000000

x19 = -66.0000000000000

x20 = -4.00000000000000

x21 = 82.0000000000000

x22 = 98.0000000000000

x23 = 74.0000000000000

x24 = 36.0000000000000

x25 = -70.0000000000000

x26 = -54.0000000000000

x27 = -74.0000000000000

x28 = -30.0000000000000

x29 = -32.0000000000000

x30 = -12.0000000000000

x31 = 52.0000000000000

x32 = 32.0000000000000

x33 = -60.0000000000000

x34 = -20.0000000000000

x35 = 40.0000000000000

x36 = 68.0000000000000

x37 = -86.0000000000000

x38 = -34.0000000000000

x39 = 24.0000000000000

x40 = -10.0000000000000

x41 = 18.0000000000000

x42 = -44.0000000000000

x43 = 62.0000000000000

x44 = -76.0000000000000

x45 = 50.0000000000000

x46 = -2.00000000000000

x47 = 88.0000000000000

x48 = 10.0000000000000

x49 = -94.0000000000000

x50 = -56.0000000000000

x51 = -52.0000000000000

x52 = 0.0

x53 = -80.0000000000000

x54 = -36.0000000000000

x55 = 78.0000000000000

x56 = 54.0000000000000

x57 = 60.0000000000000

x58 = -64.0000000000000

x59 = -40.0000000000000

x60 = -68.0000000000000

x61 = 26.0000000000000

x62 = 28.0000000000000

x63 = -38.0000000000000

x64 = -42.0000000000000

x65 = -22.0000000000000

x66 = -84.0000000000000

x67 = -50.0000000000000

x68 = 38.0000000000000

x69 = 64.0000000000000

x70 = 30.0000000000000

x71 = 14.0000000000000

x72 = 86.0000000000000

x73 = -6.00000000000000

x74 = -98.0000000000000

x75 = -28.0000000000000

x76 = 6.00000000000000

x77 = -18.0000000000000

x78 = 94.0000000000000

x79 = 48.0000000000000

x80 = 16.0000000000000

x81 = 20.0000000000000

x82 = 2.00000000000000

x83 = 96.0000000000000

x84 = -26.0000000000000

x85 = -92.0000000000000

x86 = -96.0000000000000

x87 = -8.00000000000000

x88 = 58.0000000000000

x89 = 76.0000000000000

x90 = -88.0000000000000

x91 = 8.00000000000000

x92 = -16.0000000000000

x93 = 100.000000000000

x94 = -24.0000000000000

x95 = 42.0000000000000

x96 = 84.0000000000000

x97 = -62.0000000000000

x98 = 56.0000000000000

x99 = -58.0000000000000

x100 = -72.0000000000000

x101 = 44.0000000000000