2*sin(3*x)=0 (уравнение)

Уравнение с неизвестным  :

Искать численное решение на промежутке [, ]

    Найду корень уравнения: 2*sin(3*x)=0

    Решение

    Вы ввели
    [LaTeX]
    2*sin(3*x) = 0
    $$2 \sin{\left (3 x \right )} = 0$$
    Подробное решение
    [LaTeX]
    Дано уравнение
    $$2 \sin{\left (3 x \right )} = 0$$
    - это простейшее тригонометрическое ур-ние
    с изменением знака при 0

    Получим:
    $$2 \sin{\left (3 x \right )} = 0$$
    Разделим обе части ур-ния на 2

    Ур-ние превратится в
    $$\sin{\left (3 x \right )} = 0$$
    Это ур-ние преобразуется в
    $$3 x = 2 \pi n + \operatorname{asin}{\left (0 \right )}$$
    $$3 x = 2 \pi n - \operatorname{asin}{\left (0 \right )} + \pi$$
    Или
    $$3 x = 2 \pi n$$
    $$3 x = 2 \pi n + \pi$$
    , где n - любое целое число
    Разделим обе части полученного ур-ния на
    $$3$$
    получим ответ:
    $$x_{1} = \frac{2 \pi}{3} n$$
    $$x_{2} = \frac{2 \pi}{3} n + \frac{\pi}{3}$$
    График
    [LaTeX]
    Быстрый ответ
    [LaTeX]
    x1 = 0
    $$x_{1} = 0$$
         pi
    x2 = --
         3 
    $$x_{2} = \frac{\pi}{3}$$
    Численный ответ
    [LaTeX]
    x1 = 87.9645943005000
    x2 = 48.1710873550000
    x3 = 52.3598775598000
    x4 = 78.5398163397000
    x5 = 92.1533845053000
    x6 = 63.8790506230000
    x7 = 56.5486677646000
    x8 = 26.1799387799000
    x9 = -2.09439510239000
    x10 = -17.8023583703000
    x11 = -33.5103216383000
    x12 = 39.7935069455000
    x13 = 32.4631240871000
    x14 = 68.0678408278000
    x15 = -92.1533845053000
    x16 = -19.8967534727000
    x17 = -90.0589894029000
    x18 = 17.8023583703000
    x19 = -4.18879020479000
    x20 = -55.5014702134000
    x21 = 30.3687289847000
    x22 = 41.8879020479000
    x23 = 83.7758040957000
    x24 = -13.6135681656000
    x25 = 61.7846555206000
    x26 = -61.7846555206000
    x27 = -77.4926187885000
    x28 = 8.37758040957000
    x29 = 54.4542726622000
    x30 = -46.0766922527000
    x31 = 43.9822971503000
    x32 = 59.6902604182000
    x33 = -21.9911485751000
    x34 = -37.6991118431000
    x35 = 21.9911485751000
    x36 = 70.1622359302000
    x37 = 19.8967534727000
    x38 = 0.0
    x39 = -94.2477796077000
    x40 = 90.0589894029000
    x41 = -10.4719755120000
    x42 = -68.0678408278000
    x43 = 15.7079632679000
    x44 = -57.5958653158000
    x45 = 50.2654824574000
    x46 = -63.8790506230000
    x47 = -59.6902604182000
    x48 = 28.2743338823000
    x49 = -43.9822971503000
    x50 = -41.8879020479000
    x51 = -81.6814089933000
    x52 = 72.2566310326000
    x53 = -6.28318530718000
    x54 = 109.955742876000
    x55 = 46.0766922527000
    x56 = -65.9734457254000
    x57 = -72.2566310326000
    x58 = 569.675467851000
    x59 = -11.5191730632000
    x60 = 65.9734457254000
    x61 = 85.8701991981000
    x62 = 96.3421747101000
    x63 = -98.4365698125000
    x64 = -24.0855436775000
    x65 = 94.2477796077000
    x66 = -15.7079632679000
    x67 = 10.4719755120000
    x68 = -70.1622359302000
    x69 = 81.6814089933000
    x70 = 98.4365698125000
    x71 = -8.37758040957000
    x72 = 100.530964915000
    x73 = 74.3510261350000
    x74 = -29.3215314335000
    x75 = -79.5870138909000
    x76 = -54.4542726622000
    x77 = -83.7758040957000
    x78 = -39.7935069455000
    x79 = -31.4159265359000
    x80 = 2.09439510239000
    x81 = -85.8701991981000
    x82 = 4.18879020479000
    x83 = 6.28318530718000
    x84 = -87.9645943005000
    x85 = 76.4454212374000
    x86 = -99.4837673637000
    x87 = -50.2654824574000
    x88 = 746.651854003000
    x89 = -48.1710873550000
    x90 = -26.1799387799000
    x91 = -35.6047167407000
    x92 = 24.0855436775000
    x93 = 80.6342114421000
    x94 = 34.5575191895000
    x95 = 37.6991118431000
    x96 = -28.2743338823000