ctg(x)=3,14:2 (уравнение)

Найду корень уравнения: ctg(x)=3,14:2

Вы ввели

         157 
cot(x) = ----
         50*2

$$\cot{\left(x \right)} = \frac{157}{2 \cdot 50}$$

Подробное решение

Дано уравнение
$$\cot{\left(x \right)} = \frac{157}{2 \cdot 50}$$
преобразуем
$$\cot{\left(x \right)} - \frac{157}{100} = 0$$
$$\cot{\left(x \right)} - \frac{157}{2 \cdot 50} = 0$$
Сделаем замену
$$w = \cot{\left(x \right)}$$
Переносим свободные слагаемые (без w)
из левой части в правую, получим:
$$w = \frac{157}{100}$$
Получим ответ: w = 157/100
делаем обратную замену
$$\cot{\left(x \right)} = w$$
подставляем w:

Быстрый ответ

         /157\
x1 = acot|---|
         \100/

$$x_{1} = \operatorname{acot}{\left(\frac{157}{100} \right)}$$

Численный ответ

x1 = 85.390142895739

x2 = 6.85032655599416

x3 = 69.68217962779

x4 = -77.9726750909303

x5 = -87.3974530516996

x6 = 19.4166971703533

x7 = -99.9638236660588

x8 = 0.567141248814569

x9 = 50.8326237062513

x10 = -49.6983412086221

x11 = 88.5317355493288

x12 = -27.7071926334936

x13 = -62.2647118229813

x14 = -5.71604405836502

x15 = 44.5494383990717

x16 = 38.2662530918921

x17 = 63.3989943206104

x18 = -24.5655999799038

x19 = -37.131970594263

x20 = -2.57445140477522

x21 = 9.99191920958395

x22 = -33.9903779406732

x23 = 97.9565135100982

x24 = 91.6733282029186

x25 = 25.6998824775329

x26 = -18.2824146727242

x27 = -43.4151559014425

x28 = 41.4078457454819

x29 = -15.1408220191344

x30 = 16.2751045167635

x31 = 28.8414751311227

x32 = 66.5405869742002

x33 = 82.2485502421492

x34 = -81.11426774452

x35 = 75.9653649349696

x36 = -93.6806383588792

x37 = 72.8237722813798

x38 = -40.2735632478527

x39 = -65.4063044765711

x40 = -84.2558603981098

x41 = -59.1231191693915

x42 = -21.424007326314

x43 = -55.9815265158017

x44 = -90.5390457052894

x45 = -11.9992293655446

x46 = 53.9742163598411

x47 = 22.5582898239431

x48 = 31.9830677847125

x49 = 47.6910310526615

x50 = -68.5478971301609

x51 = 60.2574016670206

x52 = 94.8149208565084

x53 = -71.6894897837507

x54 = -46.5567485550323

x55 = 3.70873390240436

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