tg(x)=-sqrt(3) (уравнение)

Найду корень уравнения: tg(x)=-sqrt(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 

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

=

-pi 
----
 3  

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

произведение

  -pi 
1*----
   3  

$$1 \left(- \frac{\pi}{3}\right)$$

=

-pi 
----
 3  

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

Численный ответ

x1 = 27.2271363311115

x2 = 90.0589894029074

x3 = 5.23598775598299

x4 = -51.3126800086333

x5 = -70.162235930172

x6 = -101.57816246607

x7 = -57.5958653158129

x8 = -38.7463093942741

x9 = -1.0471975511966

x10 = -23.0383461263252

x11 = 74.3510261349584

x12 = -35.6047167406843

x13 = 2.0943951023932

x14 = 77.4926187885482

x15 = 8.37758040957278

x16 = 96.342174710087

x17 = 58.6430628670095

x18 = -67.0206432765823

x19 = -79.5870138909414

x20 = -89.0117918517108

x21 = 24.0855436775217

x22 = -7.33038285837618

x23 = 33.5103216382911

x24 = 83.7758040957278

x25 = -26.1799387799149

x26 = -13.6135681655558

x27 = 20.943951023932

x28 = 93.2005820564972

x29 = 61.7846555205993

x30 = -48.1710873550435

x31 = 17.8023583703422

x32 = -82.7286065445312

x33 = -16.7551608191456

x34 = -95.2949771588904

x35 = 42.9350995990605

x36 = -19.8967534727354

x37 = -41.8879020478639

x38 = 30.3687289847013

x39 = 55.5014702134197

x40 = 11.5191730631626

x41 = 71.2094334813686

x42 = -92.1533845053006

x43 = -54.4542726622231

x44 = -85.870199198121

x45 = -4.18879020478639

x46 = -76.4454212373516

x47 = 36.6519142918809

x48 = -32.4631240870945

x49 = -98.4365698124802

x50 = -29.3215314335047

x51 = 52.3598775598299

x52 = -60.7374579694027

x53 = 68.0678408277789

x54 = 39.7935069454707

x55 = -10.471975511966

x56 = 46.0766922526503

x57 = 64.9262481741891

x58 = -45.0294947014537

x59 = -63.8790506229925

x60 = 14.6607657167524

x61 = 49.2182849062401

x62 = 99.4837673636768

x63 = 80.634211442138

x64 = -73.3038285837618

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