tgx=√3 (уравнение)

Найду корень уравнения: tgx=√3

Вы ввели

           ___
tan(x) = \/ 3 

$$\tan{\left(x \right)} = \sqrt{3}$$

Подробное решение

Дано уравнение
$$\tan{\left(x \right)} = \sqrt{3}$$
- это простейшее тригонометрическое ур-ние
Это ур-ние преобразуется в
$$x = \pi n + \operatorname{atan}{\left(\sqrt{3} \right)}$$
Или
$$x = \pi n + \frac{\pi}{3}$$
, где n - любое целое число

Быстрый ответ

     pi
x1 = --
     3 

$$x_{1} = \frac{\pi}{3}$$

Сумма и произведение корней

сумма

    pi
0 + --
    3 

$$0 + \frac{\pi}{3}$$

=

pi
--
3 

$$\frac{\pi}{3}$$

произведение

  pi
1*--
  3 

$$1 \frac{\pi}{3}$$

=

pi
--
3 

$$\frac{\pi}{3}$$

Численный ответ

x1 = 45.0294947014537

x2 = 70.162235930172

x3 = -14.6607657167524

x4 = -61.7846555205993

x5 = 48.1710873550435

x6 = -68.0678408277789

x7 = 85.870199198121

x8 = -80.634211442138

x9 = -17.8023583703422

x10 = 57.5958653158129

x11 = 54.4542726622231

x12 = 101.57816246607

x13 = 82.7286065445312

x14 = 38.7463093942741

x15 = -27.2271363311115

x16 = 26.1799387799149

x17 = -52.3598775598299

x18 = -20.943951023932

x19 = 10.471975511966

x20 = 60.7374579694027

x21 = -93.2005820564972

x22 = 92.1533845053006

x23 = 29.3215314335047

x24 = 41.8879020478639

x25 = -71.2094334813686

x26 = 7.33038285837618

x27 = 19.8967534727354

x28 = 32.4631240870945

x29 = -55.5014702134197

x30 = 35.6047167406843

x31 = -36.6519142918809

x32 = -30.3687289847013

x33 = 1.0471975511966

x34 = 73.3038285837618

x35 = 51.3126800086333

x36 = -74.3510261349584

x37 = 76.4454212373516

x38 = 98.4365698124802

x39 = 23.0383461263252

x40 = -8.37758040957278

x41 = -83.7758040957278

x42 = -24.0855436775217

x43 = 16.7551608191456

x44 = 95.2949771588904

x45 = -5.23598775598299

x46 = -58.6430628670095

x47 = -90.0589894029074

x48 = -96.342174710087

x49 = -39.7935069454707

x50 = -77.4926187885482

x51 = 63.8790506229925

x52 = -64.9262481741891

x53 = -33.5103216382911

x54 = -99.4837673636768

x55 = -86.9173967493176

x56 = 79.5870138909414

x57 = -46.0766922526503

x58 = 4.18879020478639

x59 = -11.5191730631626

x60 = -49.2182849062401

x61 = 13.6135681655558

x62 = 67.0206432765823

x63 = -2.0943951023932

x64 = -42.9350995990605

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