tan(5*x)=sqrt(3) (уравнение)

Уравнение с неизвестным  :

Искать численное решение на промежутке:

[, ]

    Найду корень уравнения: tan(5*x)=sqrt(3)

    Решение

    Вы ввели [src]
                 ___
    tan(5*x) = \/ 3 
    $$\tan{\left (5 x \right )} = \sqrt{3}$$
    Подробное решение
    Дано уравнение
    $$\tan{\left (5 x \right )} = \sqrt{3}$$
    - это простейшее тригонометрическое ур-ние
    Это ур-ние преобразуется в
    $$5 x = \pi n + \operatorname{atan}{\left (\sqrt{3} \right )}$$
    Или
    $$5 x = \pi n + \frac{\pi}{3}$$
    , где n - любое целое число
    Разделим обе части полученного ур-ния на
    $$5$$
    получим ответ:
    $$x_{1} = \frac{\pi n}{5} + \frac{\pi}{15}$$
    График
    Быстрый ответ [src]
         pi
    x1 = --
         15
    $$x_{1} = \frac{\pi}{15}$$
    Численный ответ [src]
    x1 = 16.5457213089000
    x2 = -43.7728576400000
    x3 = -93.4100215667000
    x4 = 52.3598775598000
    x5 = -21.7817090649000
    x6 = 82.5191670343000
    x7 = 14.0324471860000
    x8 = -47.5427688243000
    x9 = -49.4277244165000
    x10 = 20.3156324932000
    x11 = 42.3067810683000
    x12 = 86.2890782186000
    x13 = 76.2359817271000
    x14 = 78.1209373193000
    x15 = -67.6489618073000
    x16 = 68.0678408278000
    x17 = -33.7197611485000
    x18 = 4.60766922527000
    x19 = 70.5811149507000
    x20 = -71.4188729916000
    x21 = -19.8967534727000
    x22 = -91.5250659746000
    x23 = 6.49262481742000
    x24 = -77.7020582988000
    x25 = 30.3687289847000
    x26 = -7.95870138909000
    x27 = -29.9498499642000
    x28 = -13.6135681656000
    x29 = 28.4837733925000
    x30 = 72.4660705428000
    x31 = -51.9409985394000
    x32 = -97.8082512818000
    x33 = -83.9852436060000
    x34 = 8.37758040957000
    x35 = 26.5988178004000
    x36 = 48.5899663755000
    x37 = 80.0058929114000
    x38 = -1.67551608191000
    x39 = -31.8348055564000
    x40 = 62.4129740513000
    x41 = 92.5722635258000
    x42 = -5.44542726622000
    x43 = 50.4749219677000
    x44 = 38.5368698840000
    x45 = 10.2625360017000
    x46 = 58.0147443363000
    x47 = 32.2536845769000
    x48 = 64.2979296435000
    x49 = -18.0117978806000
    x50 = -9.84365698125000
    x51 = -23.6666646570000
    x52 = -40.0029464557000
    x53 = -57.5958653158000
    x54 = 98.2271303022000
    x55 = -63.8790506230000
    x56 = 40.4218254762000
    x57 = -41.8879020479000
    x58 = 66.1828852356000
    x59 = -75.8171027066000
    x60 = -99.6932068739000
    x61 = -45.6578132322000
    x62 = 90.0589894029000
    x63 = -89.6401103824000
    x64 = 54.2448331520000
    x65 = 96.3421747101000
    x66 = -61.9940950308000
    x67 = 18.4306769011000
    x68 = 94.4572191179000
    x69 = -3.56047167407000
    x70 = 44.1917366605000
    x71 = 46.0766922527000
    x72 = -25.5516202492000
    x73 = 100.112085894000
    x74 = 0.209439510239000
    x75 = 34.1386401690000
    x76 = 74.3510261350000
    x77 = -79.5870138909000
    x78 = -53.8259541315000
    x79 = 88.1740338108000
    x80 = 36.0235957612000
    x81 = 84.4041226264000
    x82 = 2.09439510239000
    x83 = -85.8701991981000
    x84 = 12.1474915939000
    x85 = -69.5339173995000
    x86 = 60.5280184592000
    x87 = 22.2005880854000
    x88 = -27.4365758414000
    x89 = -81.4719694831000
    x90 = -35.6047167407000
    x91 = 24.0855436775000
    x92 = -73.9321471145000
    x93 = -87.7551547903000
    x94 = -37.4896723328000
    x95 = -95.9232956896000
    x96 = -11.7286125734000
    x97 = -65.7640062151000
    x98 = 56.1297887441000
    x99 = -15.4985237577000
    x100 = -55.7109097237000