sinx = -√3 / 2 (уравнение)

Найду корень уравнения: sinx = -√3 / 2

Вы ввели

            ___ 
         -\/ 3  
sin(x) = -------
            2   

$$\sin{\left(x \right)} = \frac{\left(-1\right) \sqrt{3}}{2}$$

Подробное решение

Дано уравнение
$$\sin{\left(x \right)} = \frac{\left(-1\right) \sqrt{3}}{2}$$
- это простейшее тригонометрическое ур-ние
Это ур-ние преобразуется в
$$x = 2 \pi n + \operatorname{asin}{\left(- \frac{\sqrt{3}}{2} \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(- \frac{\sqrt{3}}{2} \right)} + \pi$$
Или
$$x = 2 \pi n - \frac{\pi}{3}$$
$$x = 2 \pi n + \frac{4 \pi}{3}$$
, где n - любое целое число

Быстрый ответ

     -pi 
x1 = ----
      3  

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

     4*pi
x2 = ----
      3  

$$x_{2} = \frac{4 \pi}{3}$$

Численный ответ

x1 = 67.0206432765823

x2 = 73.3038285837618

x3 = -1.0471975511966

x4 = -95.2949771588904

x5 = 85.870199198121

x6 = -63.8790506229925

x7 = -27.2271363311115

x8 = 11.5191730631626

x9 = 30.3687289847013

x10 = 10.471975511966

x11 = 35.6047167406843

x12 = -51.3126800086333

x13 = -82.7286065445312

x14 = 55.5014702134197

x15 = 16.7551608191456

x16 = 54.4542726622231

x17 = -8.37758040957278

x18 = 17.8023583703422

x19 = 61.7846555205993

x20 = -32.4631240870945

x21 = -151.843644923507

x22 = 23.0383461263252

x23 = -70.162235930172

x24 = -101.57816246607

x25 = -7.33038285837618

x26 = 49.2182849062401

x27 = 48.1710873550435

x28 = 79.5870138909414

x29 = -76.4454212373516

x30 = -13.6135681655558

x31 = 98.4365698124802

x32 = -38.7463093942741

x33 = -11851.1346868919

x34 = -96.342174710087

x35 = 68.0678408277789

x36 = -114.144533080429

x37 = -20.943951023932

x38 = 5.23598775598299

x39 = 99.4837673636768

x40 = -77.4926187885482

x41 = 29.3215314335047

x42 = -90.0589894029074

x43 = 60.7374579694027

x44 = 42.9350995990605

x45 = 36.6519142918809

x46 = -14.6607657167524

x47 = -46.0766922526503

x48 = -57.5958653158129

x49 = -89.0117918517108

x50 = 24.0855436775217

x51 = -39.7935069454707

x52 = 74.3510261349584

x53 = -52.3598775598299

x54 = 92.1533845053006

x55 = -1559.27715373173

x56 = -58.6430628670095

x57 = 4.18879020478639

x58 = 86.9173967493176

x59 = 80.634211442138

x60 = -5606.69568910658

x61 = -26.1799387799149

x62 = -71.2094334813686

x63 = -45.0294947014537

x64 = 93.2005820564972

x65 = -64.9262481741891

x66 = -33.5103216382911

x67 = -19.8967534727354

x68 = -2.0943951023932

x69 = 41.8879020478639

x70 = 393.746279249921

x71 = -83.7758040957278

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