tan(5*x)=2 (уравнение)

Найду корень уравнения: tan(5*x)=2

Вы ввели

tan(5*x) = 2

$$\tan{\left (5 x \right )} = 2$$

Подробное решение

Дано уравнение
$$\tan{\left (5 x \right )} = 2$$
- это простейшее тригонометрическое ур-ние
Это ур-ние преобразуется в
$$5 x = \pi n + \operatorname{atan}{\left (2 \right )}$$
Или
$$5 x = \pi n + \operatorname{atan}{\left (2 \right )}$$
, где n - любое целое число
Разделим обе части полученного ур-ния на
$$5$$
получим ответ:
$$x_{1} = \frac{\pi n}{5} + \frac{1}{5} \operatorname{atan}{\left (2 \right )}$$

Быстрый ответ

     atan(2)
x1 = -------
        5   

$$x_{1} = \frac{1}{5} \operatorname{atan}{\left (2 \right )}$$

Численный ответ

x1 = -17.9998076473000

x2 = 77.5046090219000

x3 = 94.4692093513000

x4 = 72.4780607761000

x5 = -5.43343703290000

x6 = -52.5573268367000

x7 = -90.8847572105000

x8 = 59.9116901618000

x9 = -92.1413942720000

x10 = -58.8405121439000

x11 = 66.1948754689000

x12 = 9.64620770433000

x13 = -39.9909562224000

x14 = 54.2568233853000

x15 = 29.7524006873000

x16 = -96.5396239870000

x17 = -64.4953789204000

x18 = 0.221429743559000

x19 = -20.5130817701000

x20 = -49.4157341832000

x21 = 98.2391205356000

x22 = 96.9824834741000

x23 = -45.0175044681000

x24 = -97.7962610484000

x25 = 48.6019566088000

x26 = 40.4338157095000

x27 = 76.2479719604000

x28 = 73.7346978376000

x29 = -2.29184437931000

x30 = -65.7520159818000

x31 = -69.5219271661000

x32 = -79.5750236576000

x33 = -99.6812166406000

x34 = -61.9821047975000

x35 = -16.7431705858000

x36 = 33.5223118716000

x37 = -68.2652901047000

x38 = 49.8585936703000

x39 = 58.0267345696000

x40 = 12.1594818272000

x41 = -30.5661782616000

x42 = -77.6900680655000

x43 = 89.4426611055000

x44 = -43.7608674067000

x45 = 18.4426671344000

x46 = 32.2656748102000

x47 = 42.3187713017000

x48 = -75.8051124733000

x49 = -21.7697188316000

x50 = -33.7077709152000

x51 = -9.20334821721000

x52 = 80.0178831447000

x53 = 92.5842537591000

x54 = -25.5396300159000

x55 = -27.4245856080000

x56 = -85.2298904341000

x57 = -93.3980313334000

x58 = 13.4161188886000

x59 = 45.4603639553000

x60 = 24.7258524416000

x61 = 22.2125783187000

x62 = 1.47806680499000

x63 = -35.5927265074000

x64 = 64.3099198768000

x65 = 10.2745262350000

x66 = 44.2037268938000

x67 = 88.1860240441000

x68 = -47.5307785910000

x69 = -31.8228153231000

x70 = -87.7431645570000

x71 = -82.0882977805000

x72 = 51.1152307317000

x73 = 16.5577115422000

x74 = -11.7166223401000

x75 = 3.99134092787000

x76 = -3.54848144075000

x77 = -22.3980373623000

x78 = 99.4957575970000

x79 = 27.8674450951000

x80 = 62.4249642846000

x81 = -42.5042303453000

x82 = 19.6993041958000

x83 = 67.4515125304000

x84 = -55.6989194903000

x85 = 8.38957064289000

x86 = 86.3010684519000

x87 = 83.1594757983000

x88 = -74.5484754119000

x89 = -53.8139638982000

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