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Реши любую задачу с помощью нейросети.
$$cos{left (frac{pi}{2} left(x – 2right) right )} = 0$$
– это простейшее тригонометрическое ур-ние
с изменением знака при 0
Получим:
$$cos{left (frac{pi}{2} left(x – 2right) right )} = 0$$
Разделим обе части ур-ния на -1
Ур-ние превратится в
$$cos{left (frac{pi x}{2} right )} = 0$$
Это ур-ние преобразуется в
$$frac{pi x}{2} = pi n + {acos}{left (0 right )}$$
$$frac{pi x}{2} = pi n – pi + {acos}{left (0 right )}$$
Или
$$frac{pi x}{2} = pi n + frac{pi}{2}$$
$$frac{pi x}{2} = pi n – frac{pi}{2}$$
, где n – любое целое число
Разделим обе части полученного ур-ния на
$$frac{pi}{2}$$
получим ответ:
$$x_{1} = frac{1}{pi} left(2 pi n + piright)$$
$$x_{2} = frac{1}{pi} left(2 pi n – piright)$$
x2 = 3
x1 = -37.0000000000000
x2 = 3.00000000000000
x3 = 91.0000000000000
x4 = -79.0000000000000
x5 = 45.0000000000000
x6 = 21.0000000000000
x7 = -7.00000000000000
x8 = 1.00000000000000
x9 = -63.0000000000000
x10 = -23.0000000000000
x11 = 89.0000000000000
x12 = 47.0000000000000
x13 = 81.0000000000000
x14 = -3.00000000000000
x15 = 67.0000000000000
x16 = -59.0000000000000
x17 = -55.0000000000000
x18 = -77.0000000000000
x19 = 83.0000000000000
x20 = -29.0000000000000
x21 = -81.0000000000000
x22 = 65.0000000000000
x23 = -75.0000000000000
x24 = -19.0000000000000
x25 = 39.0000000000000
x26 = -39.0000000000000
x27 = -65.0000000000000
x28 = 59.0000000000000
x29 = 5.00000000000000
x30 = -11.0000000000000
x31 = -89.0000000000000
x32 = -1.00000000000000
x33 = -47.0000000000000
x34 = 69.0000000000000
x35 = 71.0000000000000
x36 = 27.0000000000000
x37 = -5.00000000000000
x38 = -9.00000000000000
x39 = 85.0000000000000
x40 = -51.0000000000000
x41 = -35.0000000000000
x42 = 99.0000000000000
x43 = -87.0000000000000
x44 = 35.0000000000000
x45 = -41.0000000000000
x46 = 11.0000000000000
x47 = 61.0000000000000
x48 = -53.0000000000000
x49 = 37.0000000000000
x50 = -17.0000000000000
x51 = -71.0000000000000
x52 = 43.0000000000000
x53 = 73.0000000000000
x54 = 103.000000000000
x55 = 95.0000000000000
x56 = 31.0000000000000
x57 = -67.0000000000000
x58 = -43.0000000000000
x59 = -15.0000000000000
x60 = -21.0000000000000
x61 = -49.0000000000000
x62 = -31.0000000000000
x63 = 23.0000000000000
x64 = -95.0000000000000
x65 = 105.000000000000
x66 = -85.0000000000000
x67 = -69.0000000000000
x68 = -13.0000000000000
x69 = 53.0000000000000
x70 = 33.0000000000000
x71 = 17.0000000000000
x72 = -27.0000000000000
x73 = 13.0000000000000
x74 = 7.00000000000000
x75 = 75.0000000000000
x76 = 51.0000000000000
x77 = 97.0000000000000
x78 = 29.0000000000000
x79 = -93.0000000000000
x80 = 101.000000000000
x81 = -57.0000000000000
x82 = 63.0000000000000
x83 = 19.0000000000000
x84 = 25.0000000000000
x85 = -83.0000000000000
x86 = -61.0000000000000
x87 = 57.0000000000000
x88 = 9.00000000000000
x89 = -25.0000000000000
x90 = -45.0000000000000
x91 = 87.0000000000000
x92 = 41.0000000000000
x93 = 77.0000000000000
x94 = 93.0000000000000
x95 = 15.0000000000000
x96 = 49.0000000000000
x97 = -73.0000000000000
x98 = -33.0000000000000
x99 = 79.0000000000000
x100 = 55.0000000000000
x101 = -91.0000000000000