tan(x)=-1/2 (уравнение)

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    Найду корень уравнения: tan(x)=-1/2

    Решение

    Вы ввели
    [LaTeX]
    tan(x) = -1/2
    $$\tan{\left (x \right )} = - \frac{1}{2}$$
    Подробное решение
    [LaTeX]
    Дано уравнение
    $$\tan{\left (x \right )} = - \frac{1}{2}$$
    - это простейшее тригонометрическое ур-ние
    Это ур-ние преобразуется в
    $$x = \pi n + \operatorname{atan}{\left (- \frac{1}{2} \right )}$$
    Или
    $$x = \pi n - \operatorname{atan}{\left (\frac{1}{2} \right )}$$
    , где n - любое целое число
    График
    [LaTeX]
    Быстрый ответ
    [LaTeX]
    x1 = -atan(1/2)
    $$x_{1} = - \operatorname{atan}{\left (\frac{1}{2} \right )}$$
    Численный ответ
    [LaTeX]
    x1 = -91.5698345631000
    x2 = -60.1539080272000
    x3 = -63.2955006808000
    x4 = -22.4547961841000
    x5 = -69.5786859880000
    x6 = -50.7291300664000
    x7 = -82.1450566023000
    x8 = 56.0850201556000
    x9 = 96.9257246523000
    x10 = 62.3682054628000
    x11 = -3.60524026259000
    x12 = 71.7929834236000
    x13 = -100.994612524000
    x14 = 100.067317306000
    x15 = 65.5097981164000
    x16 = -72.7202786416000
    x17 = 59.2266128092000
    x18 = -25.5963888377000
    x19 = -35.0211667985000
    x20 = -41.3043521057000
    x21 = 37.2354642341000
    x22 = 52.9434275020000
    x23 = 34.0938715805000
    x24 = 24.6690936197000
    x25 = -13.0300182234000
    x26 = -97.8530198703000
    x27 = -88.4282419095000
    x28 = -6.74683291618000
    x29 = 2.67794504459000
    x30 = -0.463647609001000
    x31 = 30.9522789269000
    x32 = -38.1627594521000
    x33 = 84.3593540379000
    x34 = 49.8018348484000
    x35 = -16.1716108769000
    x36 = -75.8618712952000
    x37 = 46.6602421948000
    x38 = -79.0034639487000
    x39 = 8.96113035177000
    x40 = -9.88842556977000
    x41 = 40.3770568877000
    x42 = 93.7841319987000
    x43 = 68.6513907700000
    x44 = -53.8707227200000
    x45 = 78.0761687307000
    x46 = -19.3132035305000
    x47 = -66.4370933344000
    x48 = 81.2177613843000
    x49 = 5.81953769818000
    x50 = 43.5186495413000
    x51 = -31.8795741449000
    x52 = 12.1027230054000
    x53 = 18.3859083125000
    x54 = 21.5275009661000
    x55 = 15.2443156589000
    x56 = -94.7114272167000
    x57 = -47.5875374128000
    x58 = 90.6425393451000
    x59 = -44.4459447593000
    x60 = 27.8106862733000
    x61 = -28.7379814913000
    x62 = -57.0123153736000
    x63 = 87.5009466915000
    x64 = 74.9345760772000
    x65 = -85.2866492559000