cos(x)=-1 (уравнение)

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    Найду корень уравнения: cos(x)=-1

    Решение

    Вы ввели
    [LaTeX]
    cos(x) = -1
    $$\cos{\left (x \right )} = -1$$
    Подробное решение
    [LaTeX]
    Дано уравнение
    $$\cos{\left (x \right )} = -1$$
    - это простейшее тригонометрическое ур-ние
    Это ур-ние преобразуется в
    $$x = \pi n + \operatorname{acos}{\left (-1 \right )}$$
    $$x = \pi n - \pi + \operatorname{acos}{\left (-1 \right )}$$
    Или
    $$x = \pi n + \pi$$
    $$x = \pi n$$
    , где n - любое целое число
    График
    [LaTeX]
    Быстрый ответ
    [LaTeX]
    x1 = pi
    $$x_{1} = \pi$$
    Численный ответ
    [LaTeX]
    x1 = 91.1061873718000
    x2 = -53.4070745787000
    x3 = 84.8230021336000
    x4 = -97.3893716285000
    x5 = 72.2566306985000
    x6 = 59.6902599104000
    x7 = 47.1238894108000
    x8 = -21.9911485864000
    x9 = -34.5575196658000
    x10 = -72.2566308658000
    x11 = -59.6902599212000
    x12 = 84.8230013636000
    x13 = 34.5575190219000
    x14 = 15.7079629803000
    x15 = 65.9734452391000
    x16 = 59.6902606104000
    x17 = -34.5575188899000
    x18 = -47.1238893275000
    x19 = -97.3893717477000
    x20 = 72.2566315167000
    x21 = -78.5398160473000
    x22 = -59.6902606929000
    x23 = 15.7079639570000
    x24 = -3.14159217368000
    x25 = -15.7079632966000
    x26 = -91.1061872655000
    x27 = -15.7079627748000
    x28 = -72.2566315420000
    x29 = 53.4070766554000
    x30 = -47.1238901083000
    x31 = 34.5575197056000
    x32 = -65.9734461970000
    x33 = -65.9734457649000
    x34 = 97.3893725817000
    x35 = 40.8407045793000
    x36 = 78.5398166181000
    x37 = -1127.83176319000
    x38 = 15.7079627594000
    x39 = -40.8407049009000
    x40 = -72.2566311847000
    x41 = 9.42477826738000
    x42 = 15.7079634518000
    x43 = 72.2566310277000
    x44 = -65.9734449870000
    x45 = 65.9734460391000
    x46 = -9.42477752082000
    x47 = -28.2743343914000
    x48 = -21.9911490521000
    x49 = -91.1061864815000
    x50 = -84.8230012512000
    x51 = -9.42477813658000
    x52 = -59.6902604578000
    x53 = -84.8230020565000
    x54 = 97.3893717959000
    x55 = -28.2743340990000
    x56 = -65.9734453607000
    x57 = -21.9911482261000
    x58 = -53.4070745964000
    x59 = 28.2743335664000
    x60 = -15.7079635641000
    x61 = 3.14159306054000
    x62 = -9.42477744530000
    x63 = 65.9734457530000
    x64 = -78.5398168195000
    x65 = 21.9911489073000
    x66 = 91.1061865668000
    x67 = 3.14159225490000
    x68 = 78.5398152766000
    x69 = -28.2743337069000
    x70 = -3.14159295109000
    x71 = 78.5398161805000
    x72 = 40.8407049800000
    x73 = 78.5398168562000
    x74 = 53.4070754246000
    x75 = 28.2743343712000
    x76 = -53.4070752950000
    x77 = 40.8407042062000
    x78 = -40.8407040953000
    x79 = 34.5575195449000
    x80 = -97.3893724533000
    x81 = 78.5398149750000
    x82 = 9.42477748794000
    x83 = 21.9911480932000
    x84 = 40.8407045849000
    x85 = 21.9911485852000
    x86 = 47.1238902162000
    x87 = -40.8407049291000
    x88 = 59.6902600527000
    x89 = 53.4070746419000
    x90 = 28.2743338652000