tan(5x)=0 (уравнение)

Найду корень уравнения: tan(5x)=0

Вы ввели

tan(5*x) = 0

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

Подробное решение

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

с изменением знака при 0

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

Быстрый ответ

x1 = 0

$$x_{1} = 0$$

Сумма и произведение корней

сумма

0 + 0

$$0 + 0$$

=

0

$$0$$

произведение

1*0

$$1 \cdot 0$$

=

0

$$0$$

Численный ответ

x1 = -67.8584013175395

x2 = -23.8761041672824

x3 = -93.6194610769758

x4 = -3.76991118430775

x5 = -47.7522083345649

x6 = 89.8495498926681

x7 = -35.8141562509236

x8 = 30.159289474462

x9 = 54.0353936417444

x10 = 23.8761041672824

x11 = -49.6371639267187

x12 = -74.1415866247191

x13 = -86.0796387083603

x14 = -15.707963267949

x15 = 42.0973415581032

x16 = 74.1415866247191

x17 = -37.6991118430775

x18 = 67.8584013175395

x19 = 82.3097275240526

x20 = 11.9380520836412

x21 = -5.65486677646163

x22 = -17.5929188601028

x23 = 86.0796387083603

x24 = -45.867252742411

x25 = 96.1327351998477

x26 = 0.0

x27 = 50.2654824574367

x28 = -76.026542216873

x29 = 43.9822971502571

x30 = -98.0176907920015

x31 = -13.8230076757951

x32 = -1.88495559215388

x33 = 48.3805268652828

x34 = -20.1061929829747

x35 = -87.9645943005142

x36 = 28.2743338823081

x37 = 10.0530964914873

x38 = -25.7610597594363

x39 = 4.39822971502571

x40 = 64.0884901332318

x41 = 36.4424747816416

x42 = 62.2035345410779

x43 = 26.3893782901543

x44 = 94.2477796076938

x45 = -79.7964534011807

x46 = -30.159289474462

x47 = 20.1061929829747

x48 = 16.3362817986669

x49 = -81.6814089933346

x50 = 84.1946831162065

x51 = -21.9911485751286

x52 = -89.8495498926681

x53 = -43.9822971502571

x54 = 45.867252742411

x55 = 32.0442450666159

x56 = 99.9026463841554

x57 = 77.9114978090269

x58 = -59.6902604182061

x59 = 87.9645943005142

x60 = -11.9380520836412

x61 = -65.9734457253857

x62 = -7.5398223686155

x63 = -91.734505484822

x64 = 70.3716754404114

x65 = 52.1504380495906

x66 = 72.2566310325652

x67 = -33.9292006587698

x68 = -96.1327351998477

x69 = -54.0353936417444

x70 = 1.88495559215388

x71 = 65.9734457253857

x72 = 38.3274303737955

x73 = -42.0973415581032

x74 = 80.4247719318987

x75 = -39.5840674352314

x76 = -83.5663645854885

x77 = -57.8053048260522

x78 = -52.1504380495906

x79 = 55.9203492338983

x80 = 58.4336233567702

x81 = -64.0884901332318

x82 = 60.318578948924

x83 = -71.6283125018473

x84 = 76.026542216873

x85 = 6.28318530717959

x86 = 40.2123859659494

x87 = 33.9292006587698

x88 = -61.5752160103599

x89 = 92.3628240155399

x90 = 18.2212373908208

x91 = 21.9911485751286

x92 = -32.0442450666159

x93 = 8.16814089933346

x94 = -77.9114978090269

x95 = -69.7433569096934

x96 = -27.6460153515902

x97 = -10.0530964914873

x98 = -99.9026463841554

x99 = 98.0176907920015

x100 = -55.9203492338983

x101 = 14.451326206513

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