tan((x+16)*5)=0 (уравнение)

Найду корень уравнения: tan((x+16)*5)=0

Вы ввели

tan((x + 16)*5) = 0

$$\tan{\left (5 \left(x + 16\right) \right )} = 0$$

Подробное решение

Дано уравнение
$$\tan{\left (5 \left(x + 16\right) \right )} = 0$$
- это простейшее тригонометрическое ур-ние

с изменением знака при 0

Получим:
$$\tan{\left (5 \left(x + 16\right) \right )} = 0$$
Это ур-ние преобразуется в
$$5 x + 80 = \pi n + \operatorname{atan}{\left (0 \right )}$$
Или
$$5 x + 80 = \pi n$$
, где n - любое целое число
Перенесём
$$80$$
в правую часть ур-ния
с противоположным знаком, итого:
$$5 x = \pi n - 80$$
Разделим обе части полученного ур-ния на
$$5$$
получим ответ:
$$x_{1} = \frac{\pi n}{5} - 16$$

Быстрый ответ

x1 = -16

$$x_{1} = -16$$

Численный ответ

x1 = -27.9380520836000

x2 = -81.9734457254000

x3 = -23.5398223686000

x4 = 86.4159205070000

x5 = 73.8495498927000

x6 = 24.2123859659000

x7 = 98.3539725907000

x8 = 70.0796387084000

x9 = 61.9114978090000

x10 = 78.2477796077000

x11 = 56.2566310326000

x12 = 14.1592894745000

x13 = -70.0353936417000

x14 = 16.0442450666000

x15 = -90.1415866247000

x16 = -87.6283125018000

x17 = 44.3185789489000

x18 = -9.71681469282000

x19 = 7.87610416728000

x20 = 93.9557428756000

x21 = -95.7964534012000

x22 = -31.7079632679000

x23 = 60.0265422169000

x24 = -14.1150444078000

x25 = -99.5663645855000

x26 = 100.238928183000

x27 = 58.1415866247000

x28 = 42.4336233568000

x29 = -92.0265422169000

x30 = -1.54867379349000

x31 = 10.3893782902000

x32 = 39.9203492339000

x33 = 95.8406984678000

x34 = 92.0707872835000

x35 = 22.3274303738000

x36 = 20.4424747816000

x37 = -46.1592894745000

x38 = -53.6991118431000

x39 = -19.7699111843000

x40 = -11.6017702850000

x41 = -4.06194791636000

x42 = -75.6902604182000

x43 = -68.1504380496000

x44 = -17.8849555922000

x45 = 54.3716754404000

x46 = -97.6814089933000

x47 = -83.8584013175000

x48 = 0.336281798667000

x49 = 64.4247719319000

x50 = 88.3008760992000

x51 = 4.10619298297000

x52 = 51.8584013175000

x53 = 48.0884901332000

x54 = 32.3805268653000

x55 = -51.8141562509000

x56 = -63.7522083346000

x57 = -49.9292006588000

x58 = -5.94690350851000

x59 = -36.1061929830000

x60 = -41.7610597594000

x61 = 2.22123739082000

x62 = -33.5929188601000

x63 = -43.6460153516000

x64 = 90.1858316913000

x65 = -85.7433569097000

x66 = 68.1946831162000

x67 = -93.9114978090000

x68 = 82.0176907920000

x69 = 71.9645943005000

x70 = -61.8672527424000

x71 = -39.8761041673000

x72 = -80.0884901332000

x73 = -21.6548667765000

x74 = 46.2035345411000

x75 = 76.3628240155000

x76 = -7.83185910067000

x77 = 5.99114857513000

x78 = 17.9292006588000

x79 = -29.8230076758000

x80 = 80.1327351998000

x81 = -73.8053048261000

x82 = 34.2654824574000

x83 = -59.9822971503000

x84 = 83.9026463842000

x85 = 38.0353936417000

x86 = -37.9911485751000

x87 = -77.5752160104000

x88 = 49.9734457254000

x89 = 36.1504380496000

x90 = -16.0000000000000

x91 = -65.6371639267000

x92 = 12.2743338823000

x93 = -71.9203492339000

x94 = 26.0973415581000

x95 = -55.5840674352000

x96 = -48.0442450666000

x97 = -26.0530964915000

x98 = 27.9822971503000

x99 = 29.8672527424000

x100 = 66.3097275241000

x101 = -58.0973415581000

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