cos(pi/2*(x-2))=0 (уравнение)

Уравнение с неизвестным  :

Искать численное решение на промежутке:

[, ]

    Найду корень уравнения: cos(pi/2*(x-2))=0

    Решение

    Вы ввели [src]
       /pi        \    
    cos|--*(x - 2)| = 0
       \2         /    
    $$\cos{\left (\frac{\pi}{2} \left(x - 2\right) \right )} = 0$$
    Подробное решение
    Дано уравнение
    $$\cos{\left (\frac{\pi}{2} \left(x - 2\right) \right )} = 0$$
    - это простейшее тригонометрическое ур-ние
    с изменением знака при 0

    Получим:
    $$\cos{\left (\frac{\pi}{2} \left(x - 2\right) \right )} = 0$$
    Разделим обе части ур-ния на -1

    Ур-ние превратится в
    $$\cos{\left (\frac{\pi x}{2} \right )} = 0$$
    Это ур-ние преобразуется в
    $$\frac{\pi x}{2} = \pi n + \operatorname{acos}{\left (0 \right )}$$
    $$\frac{\pi x}{2} = \pi n - \pi + \operatorname{acos}{\left (0 \right )}$$
    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:
    $$x_{1} = \frac{1}{\pi} \left(2 \pi n + \pi\right)$$
    $$x_{2} = \frac{1}{\pi} \left(2 \pi n - \pi\right)$$
    График
    Быстрый ответ [src]
    x1 = 1
    $$x_{1} = 1$$
    x2 = 3
    $$x_{2} = 3$$
    Численный ответ [src]
    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
    ×

    Где учитесь?

    Для правильного составления решения, укажите: